Intro to Logarithms

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

Rewrite in exponential form.

• A
• B
• C
• D

What is the inverse of

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

•  $c^{-1}\left(x\right)=x^e$  

•  $c^{-1}\left(x\right)=\ln x$  

•  $c^{-1}\left(x\right)=x^{10}$  

•  $c^{-1}\left(x\right)=10^x$  

What is the inverse of

 $n\left(x\right)=\ln\left(x\right)$  

•  $n^{-1}\left(x\right)=\log e$  

•  $n^{-1}\left(x\right)=x^e$  

•  $n^{-1}\left(x\right)=e^x$  

•  $n^{-1}\left(x\right)=x^{\ln}$  

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

How do you properly read log₁₀100=2?

• log base 10 of 100 is equal to 2
• log base of 10 is equal to 2
• log 100 of 10 is equal to 2
• log of 100

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t