Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction.
Answers
The expression that can be used to approximate the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Given the logarithmic function expressed as [tex]log_a x[/tex], we need the log expression that is equivalent to the given expression.To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]
This is similar to the option c where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Learn more on law of logarithms here: https://brainly.com/question/11587706
Answer: C
Step-by-step explanation:
If you don't want to read it all
Related Questions
3х + 9 = 2х + 5
is it no solutions, all real numbers, or does x equal something?
Answers
Answer:
x = -4Step-by-step explanation:
Given Equation:3x + 9 = 2x + 5Question:Whether x has one solution or infinite solutions or no solutions?Solution:=> 3x + 9 = 2x + 5
(On shifting like terms to one side we get)=> 3x - 2x = 5 - 9
(On subtracting)=> x = - 4
Result:Hence, x has only one solution that is, x = -4 (Ans)
Topic : Linear equations in one variable
Given :
3х + 9 = 2х + 5Solution :
[tex]\qquad \sf \: { \dashrightarrow 3x + 9 = 2x + 5}[/tex]
Transposing variables on one side and constant terms on the other side, we get :
[tex]\qquad \sf \: { \dashrightarrow 3x - 2x = 5 - 9}[/tex]
[tex]\qquad \sf \: { \dashrightarrow x = - 4}[/tex]
Hence, the x is equal to something which is (– 4)4/9 7/21 change to percent
Answers
Answer:
Hi there, your answers here are 44% and 33%.
To convert 4/9 to a percent, first we can write it as a decimal - 0.44444444444. To get this decimal, we divide 4 by 9. Then, we multiply this decimal by 100 to get 44.4444444444, or roughly 44%.
To convert 7/21 to a percent, first we can write it as a decimal - 0.33333333333. To get this decimal, we divide 7 by 21. Then, we multiply this decimal by 100 to get 33.3333333333, or roughly 33%.
first to solve right get brainlest
Answers
Solve for x.
2x + 20=2x - 4
+
x = [?]
Enter
Answers
Answer:
x=24
Step-by-step explanation:
2x+20=2x-4+x
Subtract 2x from both sides
2x+20-2x=2x-4+x-2x
Simplify
20=-4+x
Add 4 to both sides
24=x
Switch sides
x=24
Find the equation to the line below.
Answers
Answer: [tex]y=\frac{-3}{4}x-3[/tex]
Ok done. Thank to me :>
Using a stopwatch, Tyrone determines it takes him 58. 2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work? 1 mile = 5,280 feet 19. 8 feet per second 19. 84 feet per second 45. 3 feet per second 45. 36 feet per second.
Answers
The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
Given that,
Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.
We have to determine,
Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?
According to the question,
Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,
the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Substitute the values in the equation,
[tex]\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute[/tex]
If 1 mile = 5,280 feet, then his speed is,
[tex]\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\[/tex]
And 1 minute = 60 seconds, then his speed is,
[tex]\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second[/tex]
Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
For more details about Equation refer to the link given below.
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The data in this table represents a linear function.
What is the slope of this line?
2/7
1/3
3
7/2
Answers
Answer:
3
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} = 3[/tex]
X = 5 – 2 = 3
Y = 16 – 7 = 9
[tex]0 = arctan(\frac{y}{x}) = 71.565051177078°[/tex]
[tex]Distance (d) = \sqrt{X2} + Y2 = \sqrt{90} = 9.4868329805051[/tex]
Equation of the line:
y = 3x + 1
When x=0, y = 1
When y=0, x = -0.33333333333333
What is the equation of a line perpendicular to minus x plus 2 equal y that intersects the line at open parentheses minus 1. 5 comma space 3. 5 close parentheses ?.
Answers
The required equation of a line perpendicular is y = x + 5
Given the equation y = -x + 2, the slope of the line is -1
The slope of the line perpendicular will be m -1/-1 = 1.Given the point (-1.5, 3.5)Substitute the slope and the point into the point-slope form of the equation expressed as:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]
Hence the required equation of a line perpendicular is y = x + 5
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Last season, your
favorite basketball
team won 20 games. This
season, your favorite
basketball team won 31
games. What is the
percent change in the
number of games that
your favorite team won
from last season to this
season?
Answers
Answer:
55%
Step-by-step explanation:
The percent change formula is written like this:
[tex]|\frac{change - original }{original}|[/tex]. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.
While driving to Aunt Pat’s house we filled up our tank of gas. We traveled 2/5 of the way. How much further do we have to travel?
Answers
Answer:
3/5
Step-by-step explanation:
Simplify.
8^15÷8^−3
Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53
PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS
Answers
Answer:
[tex]8^{18}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]
= [tex]8^{(15-(-3))}[/tex]
= [tex]8^{(15+3)}[/tex]
= [tex]8^{18}[/tex]
The simplified form is 8^18
What are Exponents?The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.
Properties of ExponentsThe properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.
Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bmGiven:
8^15÷8^−3
Using
a^m / a^n = a^( m-n)
So,
8^15÷8^−3
=8^(15-(−3))
=8^(15 +3)
=8^18
Learn more about exponents and power here:
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#SPJ2
Subtract
O
O
Iw + 4 from
I W .
+3
10-1
-w+1
w+7
- 7 / 20 + 7
7
-
O
O
Answers
Answer: (1/4)w - 1
Step-by-step explanation:
[(1/2)w + 3] - [(1/4)w + 4]
[(1/2)w - (1/4)w] + [3 - 4]
(1/4)w - 1
The population of the bacteria triples each hour. Initially, there are 20 bacteria in the lab. Find the number of bacteria at the end of 5th hour
1620
4500
4860
5000
Answers
Answer:
4860
Step-by-step explanation:
Get the product of twenty and three, then multiply that to three again, repeat this for three more times.
Dr.Goode prescribed 0.2 grams of cold medicine. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Should his patient take 4 of the 0.5 gram tablets or 4 of the 0.05 gram tablets? Why?
90 POINTS PLS HELP
Answers
Answer:
4 of the 0.05 gram tablets
Step-by-step explanation:
4 of the 0.5 tablets would be 2 grams
4 of the 0.05 tablets would be 0.2 grams
5/6 times 2/7 and simplified
Answers
Step-by-step explanation:
⅚ײ/7 = 5/21.
hope this helps you.
Answer: it 5/21
Step-by-step explanation:
this is how i got it
5/6×2/7=
5 × 2/6 × 7= 10/42
= 10 ÷ 2/42 ÷ 2
= 5/21
Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?
Answers
Answer:
20 sides ( Icosagon )
3240 is the interior angles sum
Step-by-step explanation:
360 ÷ 18 = 20
180 - 18 = 162
162*20 = 3240 is the interior angles sum
So I am about to ask three math points so whoever comments on this first and answers my next question will get 100 point :)
Answers
Answer:
lets get started
Step-by-step explanation:
Please give me the answer ASAP.
Answers
Answer:
-t+2>10
Step-by-step explanation:
Just ask.
Hope this helps! :D
Kareem has $20,000 in his savings account that earns 5% annually. How much interest will he earn in one year?
Answers
Answer:
1000
Step-by-step explanation:
5% of my 20000 is 1000 so 21000 total or 1000 anually
What is the range of the graph
Answers
On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.
In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve
Help!! Ill give 100 points if your correct
Answers
[tex]\\ \sf\Rrightarrow 12\dfrac{5}{6}-5\dfrac{1}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{77}{6}-\dfrac{31}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{77-31}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{46}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{23}{3}[/tex]
[tex]\\ \sf\Rrightarrow 7\dfrac{2}{3}[/tex]
Given info:- Subtract and simplify. 12(5/6) - 5(1/6) The given options are (a) 6(1/3) (b) 5(2/3) (c) 7(1/3) (d) 7(2/3)
Solution: 12(5/6) - 5(1/6)
= (72+5)/6 - (30+1)/6
= 77/6 - 31/6
Take the LCM of 6 and 6 is 6.
so,
= (77*1 - 31*1)/6
= (77-31)/6
= 46/6
= (46÷2)/(6÷2)
= 23/3
= 7(2/3) Ans.
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Jerome solved the equation 1 3 x + 5 6 = 1 as shown. 1. Subtraction property of equality: 1 3 x + 5 6 − 5 6 = 1 1 − 5 6 2. LCD: 1 3 x = 1 6 − 5 6 3. Multiply by...
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slopes of a quadrilateral please hurry before a bot attacks me ive been attacked all day. Multippe choice.
Answers
Answer: 3rd one got it right on mine
Step-by-step explanation:
Pls answer these questions
Answers
Answer:
I believe the answers are
B) 1
D) $1,000
Step-by-step explanation:
Explanation
Which of the following is a perfect square a) 1057 b) 625 c) 928 d) 64000
Answers
Answer:
625
Step-by-step explanation:
625 is the (perfect) square of 25. The other three numbers are not perfect squares.
b... 625
...............................
Karl’s rectangular vegetable garden is 20 feet by 45 feet, and Makenna’s is 25 feet by 40 feet. Whose garden is larger in area?
Answers
Answer:
Makennas
Step-by-step explanation:
Area of rectangle = length * width
Area of Karl's garden = 20 * 45 = 900ft²
Area of Makenna's garden = 25 * 40 = 1000ft²
1000 is greater than 900 therefore makennas garden has a greater area than Karls garden
Hence, Makenna's garden is larger in area than Karl's because 1000 > 900.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
what value is equivalent to 5^2 x 5^2 A20 B425 C625 D80
Answers
my Christmas present to you
Answers
Answer:
ty
Step-by-step explanation:
The price,
P of tickets at a movie theater since it opened in 2001 can be modeled by the linear equation shown, where t is the number of years since 2001. P = 8.75 + 0.35t
What is the meaning of the P
-intercept in this scenario?
the price of a ticket in
2001
the price of a ticket in 2001
the increase in ticket price per year
the increase in ticket price per year
the total number of years the theater has been open
the total number of years the theater has been open
the difference in the price of a ticket in
2001
and the price in
2011
Answers
Answer:
B
Step-by-step explanation:
You have to look at the second term to be sure of the meaning of t - 15n
What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.
The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.
C is out of the question. The information talks about 2 dollars per increase which is the first term.
A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)
The answer is B
What value of t makes the equation true?
tx3 = 12 x 6
Answers
Answer: 24
Step-by-step explanation:
tx3 = 12 x 6
3t = 12*6
3t = 72
t = 24
Please solve on same Kind of coordinate plane. Thank you!
Answers
Answer:
(0,8)
Step-by-step explanation:
