Evaluating Logarithms and Finding Inverse Functions

log ₂₅ 5 =

• 1/2

• 2

• 1/5

• 5

log ₉ 27 =

• 3

• 2/3

• 3/2

• 1/3

log _a a =

• 10

• 0

• 1

• -1

log ₂ 16

• 3

• 2

• 4

• 5

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Write in exponential form:
log ₃₆ 1 = 0

• 36⁰ = 1
• 36¹ = 0
• 1³⁶ = 0
• 1⁰ = 36

Write in logarithmic form:
9² = 81

• log ₉ 81 = 2
• log ₂ 81 = 9
• log ₉ 2 = 81
• log ₂ 9 = 81

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

What is the inverse of

 $c\left(x\right)=\log\left(x\right)$  

•  $c^{-1}\left(x\right)=x^e$  

•  $c^{-1}\left(x\right)=\ln x$  

•  $c^{-1}\left(x\right)=x^{10}$  

•  $c^{-1}\left(x\right)=10^x$  

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x