Please help me with logarithms!

Please Help Me With Logarithms!

Answers

Answer 1

Answer:

x=2ln(2)/(2ln(2)-ln(3))

Step-by-step explanation:

ln(4^x-1)=ln(3^x)

(x-1)ln(4)=ln(3^x)

(x-1)ln(4)=xln(3)

ln(4)x-ln(4)=xln(3)

ln(4)x=ln(3)x+2ln(2)

2ln(2)x-ln(3)x=2ln(2)

(2ln(2)-ln(3))x=2ln(2)

Therefore, x=2ln(2)/(2ln(2)-ln(3))

Answer 2

Answer:

4.819 =x

Step-by-step explanation:

4^(x-1) = 3^x

Take the log of each side

log (4^(x-1)) = log(3^x)

We know that log a^b = blog a

(x-1)  log 4 = x log (3)

Distribute

x log 4 -log 4 = x log 3

Subtract x log 4 from each side

x log 4 - x log 4 -log 4 = x log 3 - x log 4

- log 4 = x log 3 - x log 4

Factor out -x

- log 4 =- x ( log 4- log 3)

Divide by -1

log 4 = x (log 4 - log 3)

Divide each side by  (log 4 - log 3)

log 4 /  (log 4 - log 3) = x

4.81884167930641800 =x

Round to the nearest thousandth

4.819 =x


Related Questions

what place value is the 8 in in the number 475.082

Answers

The answer is 8 hundredths

The place value is the 8 in in the number given is 8 hundredths.

What is place value?

The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in the number.

The place value =

Ones, tens, hundreds, thousands, ten-thounsands.

Place value names to the right of the decimal work in a similar way, only given that they are given fractional names because, well, they're fractions of one:

tenths: 0.1 = 1/10

hundreths: 0.01 = 1/100

thousandths: 0.001 = 1/1000

ten-thousandths: 0.0001 = 1/10000

and so on.

As the 8 is in the second unit value over, that means it's in the hundredths place. That means that its value is eight hundredths.

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Pls help guys! 15 points!
Select all of the following true statements if R = real numbers, N = natural numbers, and W = {0, 1, 2, ...}.
a) W c N
b) {0, 1, 2, ...} c_W
c) {no solution} c N
d) 9 e W
e) R c W
f) -5 e W

Answers

Answer:

B AND C

Step-by-step explanation:

Answer:

It should be B and C

Step-by-step explanation:

Which prism has a volume of 6 cubic units? A prism has a length of 1 and one-half, height of 1, and width of 3. A prism has a length of 2, height of 1 and one-half, and width of 2. A prism has a length of 1 and one-fourth, height of 1, and width of 4. A prism has a length of 3, height of 1 and one-fourth, and width of 2.

Answers

Answer: The second prism with length of 2, height of 1 and one half, and a width of 2.

Step-by-step explanation:

2 * 1.5 * 2=  6

Answer:

B

Step-by-step explanation:

its B

The points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function. Which equation represents that function?

Answers

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

Answer:

D, f(x)=5x

got it right

Find the value of e/a. Just read the variables and numbers.

(50 points)

Answers

Answer:

35

Step-by-step explanation:

Tamika’s math test scores (out of 30) are 25, 28, 26, 25, 8, 29, 28, 24, 23.


a)What is the outlier in this set?

b) Why might Tamika’s teacher decide to remove this outlier when calculating the average for her report card?

c) Which average is affected more by the removal of the outlier, the mean or median? Justify your answer.

I WILL GIVE BRAINLIEST IF YOU ANSWER ALL THE 3 QUESTIONS GOOD.

Answers

Answers:

A.) 8 is the outlier in the set. It is the only number that doesn't match with the others. It is the furthest from the median of the numbers.

B.) The outlier could represent false information. It could greatly drop the number of the mean, or the average, range of the scores.

C.) The mean is affected more. The mean of a set of numbers is the average of the set. The median just locates the middle-most number. The median would not always give an accurate representation of the average of the set like the mean would.

Which fraction is equal to 0.34

Answers

Answer: 17/50

Multiply

0.34/1×100=34/100

Simplify

34/100÷2/2=17/50

A fraction which is equivalent to 0.34 is; 17/50

The decimal number, 0.34 can be represented in words as; 34 hundredths.

In essence, mathematically, we have;

34/100

= 17/50.

17/50 is obtained by factorisation of 2 out of the numerator and denominator.

Hence, a fraction which is equivalent to 0.34 is 17/50.

Read more on equivalent fractions;

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What is a intersection

Answers

Answer:

Intersection means a line common to other lines and an action of intersection/intersecting.

hope it helps!

On Rectangle QRST below, if Q is located at -6,-1 and S is located at 1, 5, find RT

Answers

Answer:

[tex]|RT|=\sqrt{85}$ units[/tex]

Step-by-step explanation:

On Rectangle QRST

QS is congruent to RT since they are opposite side of a rectangle.

If Q is located at (-6,-1) and S is located at (1, 5), we simply find the length of QS using the distance formula.

For points [tex](x_1,y_1)$ and (x_2,y_2)[/tex] on the coordinate axis,

Distance[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this case,[tex](x_1,y_1)=(-6,-1)$ and (x_2,y_2)=(1, 5)[/tex]

[tex]|QS|=\sqrt{(1-(-6))^2+(5-(-1))^2}\\=\sqrt{(1+6)^2+(5+1)^2}\\=\sqrt{(7)^2+(6)^2}\\|QS|=\sqrt{85}$ units[/tex]

Since

[tex]|QS| \cong |RT|\\ |RT|=\sqrt{85}$ units[/tex]

Find the distance between the two points rounding to the nearest tenth (if necessary).

(5,3) and (3,6)

Answers

Answer:

1.5

Step-by-step explanation:

Plug in numbers into the distance formula.

y2-y1

____

x2-x1

6 - 3.       3

____.     ___

3 - 5.       -2

3/-2=-1.5

Answer:

3.6 or Sqrt(13)

Step-by-step explanation:

plug into distance formula

(3-5)^2 + (6-3)^2

4 + 9

Sqrt(13)

Sqrt(13) is equal to 3.6055127546

^ is rounded up to 3.6

help me plz and 5x + 25 > 75

Answers

Answer:

x > 10

Step-by-step explanation:

Isolate the variable, x. Treat the > sign as a equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 25 from both sides:

5x + 25 (-25) > 75 (-25)

5x > 75 - 25

5x > 50

Next, divide 5 from both sides:

(5x)/5 > (50)/5

x > 50/5

x > 10

x > 10 is your answer.

~

Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying 12 cups that don’t have any defect? And what is the probability of getting all 12 cups having a defect?

Answers

≈Answer:

a)What is the probability of buying 12 cups that don’t have any defect?

0.1955

b) And what is the probability of getting all 12 cups having a defect?

9.52 × 10⁻¹⁶

Step-by-step explanation:

In the question,we are given the following values:

12% of the 100 cups in stock have some unnoticeable defect.

The number of cups that have defect in stock is calculated as:

12/100 × 100 = 12 cups

The number of cups that doesn't have defect is calculated as:

Total number of cups in stock - Number of cups in stock that have defect.

100 - 12 = 88 cups

a) What is the probability of buying 12 cups that don’t have any defect?

Probability Formula = Number of events/ Number or possible outcomes.

The probability of buying cups that don't have any defect =

88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89  = 0.1955138721

Approximately = 0.1955

b) And what is the probability of getting all 12 cups having a defect?

Probability Formula = Number of events/ Number or possible outcomes.

= 12/100 × 11/99 × 10/98 ×  9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89  

= 9.519991996 ×10⁻¹⁶

Approximately = 9.52 × 10⁻¹⁶

12 is 1/5 of what number?

Answers

60.

12 x 5= 60

Therefore, 12 is 1/5 of 60.

Answer:

12 is 1/5 of 60

Step-by-step explanation:

12 x 5 is 60.

The small box --------- similar to the large box. (is/is not)

The small box ---------similar to the medium box if the medium box has a width and height equal to (is/is not)

Answers

Answer: is not, 15 inches and 9 inches

Step-by-step explanation:

Answer:

1. is not

2. 15, 9 inches

Step-by-step explanation:

need answer ASAP a house shaped like an octagon has a large porch, as shown. what is the area of the house and the porch

Answers

Answer:

I think the answer is 775 square feet. Not 100% sure though

Answer:

875

Step-by-step explanation:

Hope this helps.

What is the volume, in cubic centimeters, of a
cylinder that has a height of 15 cm and a
diameter of 12 cm?

Answers

Answer:

3cm

Step-by-step explanation:

Answer:

The answer is 540π cm³ or 1700 cm³.

Step-by-step explanation:

Given that the volume og cylinder is V = π×r²×h where r represents radius and h is height. The diameter is 12 cm so the radius is 6 cm. Then you have to substitute it into the formula :

V = π × r² × h

Let r = 6 cm,

Let h = 15 cm,

V = π × 6² × 15

= π × 36 × 15

= 540π cm³

= 1700 cm³ (3s.f)

EMERGENCY!!!!
What is the volume of the following rectangular prism?

Answers

Answer:

6 3/4

Step-by-step explanation:

3 3/8 * 2 = 6 3/4

Jody has a plastic container in the shape of a rectangular prism. The container is 8 1/2 inches long, 4 inches wide, and 3 1/2 inches high. What is the volume of this plastic container?

Answers

Answer:

=119 in ^3

Step-by-step explanation:

The volume of a rectangle prism is given by

V = l*w*h

Changing to decimal form

  = 8 .5 * 4 * 3.5

  =119 in ^3

Answer: 119^3

Step-by-step explanation:

To find out the volume of a rectangular prism you have to multiply length x width x height.

8.5 x 4 = 34

34 x 3.5 = 119^3

What is a solution for the inequality y-7<-12

Answers

Answer:

y<-5

Step-by-step explanation:

y-7<-12

y<-5

Answer:

The answer is y is less than -5

Step-by-step explanation:

PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT

An account earns annual simple interest, Find the interest earned, principal, interest rate, or time.
Interest earned: ?
Principal: $1250
Interest rate: 3%
Time: 4 years

Answers

Answer:

:

I think I know how to solve this. You are trying to find the interest earned.

Step-by-step explanation:

you take the interest rate and convert into a percentage. 3%=0.03You divide that decimal by 100. 0.03/100=0.003Take this number and multiply by the time. 0.0003x4=0.0012You then finally multiply that number by the principle and you have your answer. 0.0012x1250=1.5 percent

Answer:

t says or, so you can answer any however the answer to time would be 4 years or so

Step-by-step explanation:

10x5 = 50

50x50 = 2500

2500x.4= 1000

1000/250=4

4

Step-by-step explanation:

Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.

Answers

Answer:

0.80x dolllars

Step-by-step explanation:

20% discount of the total amount is

0.20 * x dolllars

So if you start with x dollars you need to subtract the discount to get the new (lower ) price.

x - (0.20 * x) dolllars

1* x - 0.20 * x

x * 1 - 0.20 * x

x * ( 1 - 0.20 )

x * ( 0.80 )

0.80x dolllars

If a < 0 then the graph opens_____​

Answers

Answer:

down

Step-by-step explanation:

Assuming this is for a parabola

a>0 the graph opens up

a < 0 the graph opens down

( negative is a frown)

> means the line is curving downwards.

< means the line is curving upwards.

Assuming that this is a parabola, the inequality a > 0 means that the line is curving in a downward form. This inequality will also have a maximum.

Best of Luck!

The square root of 30

Answers

Answer:

square root of 30 is 30

because it comes in a point =5.477225575

The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?

Answers

answer:  

82.0476 i think

Step-by-step explanation:

Answer:

82.04 dollars

i hope this was helpful

Step-by-step explanation:

Pls help I am stuck on this question

Answers

Answer:

153.94 cm

Step-by-step explanation:

a = r^pi squared

r = d/2

7^pi = 21.98

21.98 squared = 153.94 cm

Answer:

see below

Step-by-step explanation:

The diameter is 14 cm

The radius is 1/2 of the diameter

r = d/2 = 7cm

We want to find the area

A = pi r^2 where r is the radius

If pi = 3.142

A = 3.142 ( 7)^2

A =153.958 cm^2

If pi = 3.14

A = 3.14 ( 7)^2

A =153.86 cm^2

Depends on the value of pi

Which equation represents the given statement "Eight times a number minus 2 equals 33
more than the number." *

Answers

Answer:

8N-2=33+N

Step-by-step explanation:

Given the points A(-2, 4) and B(7, -2), find the coordinates of the point P on directed line segment that partitions AB in the ratio 1:2.

Answers

When a line segment with point A with the co-ordinates (x1, y1) and point B with the co-ordinates (x2,y2) is divided into the ratio m:n by a point P, we find the x-coordinate of the point by using the following formula: (mx2+nx1)/m+n and the y-coordinate by using this formula: (ny1+my2)/n+m
x-coordinate of P=[(1x7)+(2x-2)]/1+2=1
y-coordinate of Q=[(2x4)+(1x-2)]/2+1=2
Ans: P=(1,2)

The coordinates of the point P on directed line segment that partitions AB in the ratio 1:2 is (4, 0)

Given the point A (-2, 4) and B(7, -2). The coordinate of the point P on the line segment that partitions AB in the ratio 1:2, is expressed as:

[tex]P(X, Y) = (\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})[/tex]

Substitute the given coordinates where a = 1 and b = 2

[tex]P(X, Y) = (\frac{1(-2)+2(7)}{1+3}, \frac{1(4)+2(-2)}{1+2})\\P(X, Y) = (\frac{-2+14}{3}, \frac{4-4}{1+2})\\P(X, Y) = (\frac{12}{3},\frac{0}{3})\\P(X, Y) = (4, 0)\\[/tex]

Hence the coordinate of point P is (4, 0)

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Examine the equation. –3x + 18 = 7x What could you do to isolate the variable term to one side of the equation? Add 3x to both sides. Subtract 3x from both sides. Add 18 to both sides. Subtract 18 from both sides.

Answers

Answer:

You would add 3x to both sides. Then divide by 10 on both sides.

What to do to isolate the variable term to one side of the equation is to add 3x to both side

Given the equation, -3x + 18 = 7x, we need to isolate the variable term. To do that, we will follow the steps below;

Add 3x to both sides of the equation to have;

-3x + 18 + 3x = 7x + 3x

18 = 7x + 3x

Swap sides

7x + 3x = 18

10x = 18

Divide both sides by 10

10x/10 = 18/10

x = 1.8

From the steps above, what to do to isolate the variable term to one side of the equation is to add 3x to both side

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Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years

Step-by-step explanation:

i = prt

i = ($61,000)(.14)(2)

i = $17,080

$78,080

Answer:

$78080

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 61000 × 14/100 × 2

I = $17080

She have = 61000 + 17080 = $78080

Neil goes to the pet shop and selects a treat for his dog. He chooses one, then chooses another. What is the probability Neil selects a bone and then a ball? There are 3 collars, 4 bones, and 5 balls.

Answers

Answer:

15.15% probability that Neil selects a bone and then a ball

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Initially, there are 3+4+5 = 12 treats. 4 of those are bones. So the probability of selecting a bone is 4/12 = 1/3.

Now suppose a bone has been selected. Now there are 11 treats, 5 of which are balls. So the probability of selecting a ball in this situation is 5/11.

What is the probability Neil selects a bone and then a ball?

[tex]p = \frac{1}{3}*\frac{5}{11} = \frac{5}{33} = 0.1515[/tex]

15.15% probability that Neil selects a bone and then a ball

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