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4 years ago

Which of the following is the inverse of y=3^x?

Mathematics

2 answers:

mojhsa [17]4 years ago

4 0

For this case, we must find the inverse of the following function:

$y = 3 ^ x$

We follow the steps below:

We exchange the variables:

$x = 3 ^ y$

We put the variable y on the left side of the equation:

$3 ^ y = x$

We apply logarithm properties:

$y = log_ {3} (x)$

So:

$f ^ {- 1} = log_ {3} (x)$

Answer:

$f ^ {- 1} = log_ {3} (x)$

Option B

inessss [21]4 years ago

3 0

Answer: y=log3x or option B

Step-by-step explanation:

Took the test

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At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green

Rainbow [258]

I think the answer is D) 8 over 32 multiplied by 7 over 31
Hopefully that helped! :)

4 0

3 years ago

Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 14 inches by 11 inches

kati45 [8]

Answer:

Since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.

Step-by-step explanation:

Since Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric, and the footrest is 14 inches by 11 inches by 13 inches while she has 1 square yard of fabric, to determine if she can she completly cover the footrest the following calculation must be performed:

1 square yard = 1296 square inches

14 x 11 x 13 = X

154 x 13 = X

2.002 = X

2.002 / 1.296 = 1.54

Thus, since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.

7 0

3 years ago

the accompanying graph shows the elevation of a certain region in new york state as a hiker travels along a trail.

FrozenT [24]

Answer:

0<x<12

Step-by-step explanation:

These signs < should have a line under it btw

7 0

3 years ago

X S2.0.2

dexar [7]

9514 1404 393

Answer:

320 m after 8 seconds
5.6 seconds, 10.4 seconds to height of 290 m

Step-by-step explanation:

To find the height at 8 seconds, evaluate the formula for t=8.

S(t) = -5t^2 +80t

S(8) = -5(8^2) +80(8) = -320 +640 = 320

The height of the rocket is 320 meters 8 seconds after takeoff.

To find the time to 290 meters height, solve ...

S(t) = 290

290 = -5t^2 +80t

-58 = t^2 -16t . . . . . . . divide by -5

6 = t^2 -16t +64 . . . . . complete the square by adding 64

±√6 = t -8 . . . . . . . . . take the square root

t = 8 ±√6 ≈ {5.551, 10.449}

The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.

8 0

3 years ago

Solve this equation. Please show work.<br><br> log(4m-10)=1

Ede4ka [16]

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that $log_{a}$ (x)=b is equal to x= $a^{b}$ so ... 4m-10= $10^{1}$

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m> $\frac{5}{2}$

6. Check if the solution is in the defined range so ... m=5

5 0

3 years ago