Free Printable inverses of logarithms

1.

Logarithms are the inverse of ___________.

a)

Trees

b)

Quadratics

c)

Square

d)

Exponential

2.

Find the inverse of y=9^x

a)

y=log_x9

b)

y=log₁₀9

c)

x=log_y9

d)

y=log₉x

3.

How are exponentials and logarithms related?

a)

They're cousins

b)

They're inverses

c)

They're not related

d)

They're reciprocals

4.

When you want to find the inverse of a function, you first

a)

Solve for y

b)

Change to exponential form

c)

Switch x and y

d)

Change to logarithmic form

5.

Log with a base "e" (log_e) is the same thing as...

a)

"e"

b)

Natural Logarithm (LN)

c)

Common Logarithm (Log)

d)

Natural Log, base "e"
LN_e

6.

Find the Inverse of $y\ =\ \log_4\left(x-1\right)$

a)

$y=x$

b)

$y=\log_34^x$

c)

$y=4^x+1$

d)

$y=4^{x+1}$

7.

Find the inverse of $y=\ln\left(x+3\right)$

a)

$y=e^x-3$

b)

$y=e^{x-3}$

c)

$y=e^x+3$

d)

$y=e^{x+3}$

8.

$Find\ the\ inverse\ of\ :\ y=\log_9x+4$
HINT: isolate the logarithm first.

a)

$y=9^x+4$

b)

$y=9^x-4$

c)

$y=9^{\left(x-4\right)}$

d)

$y=9^{\left(x+4\right)}$

9.

$\log(x)$ is the same thing as...

a)

$\ln x$

b)

$\log_{10}x$

c)

$\log_ex$

d)

$\log_x10$

10.

Simplify the expression: $6^{\log_63x}$

a)

$3x$

b)

$-3x$

c)

$6x$

d)

$-6x$

11.

Simplify: $e^{\ln40\ }$

a)

40

b)

-40

c)

e

d)

ln

12.

Which equation is the inverse of the equation above?

a)

b)

c)

d)

13.

Which equation is the inverse of the equation above?

a)

b)

c)

d)

14.

Simplify

a)

e/15

b)

e

c)

15

d)

1

15.

Simplify the following logarithmic function:
log₂2⁸=

a)

8

b)

2

c)

1

d)

16

inverses of logarithms

Total questions: 15

Worksheet time: 1hrs 15mins

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