Unit 3 Log and Exp Review

The inverse of f(x)=ln x is..

• ln x

•  $f^{-1}\left(x\right)=2^x$  

•  $f^{-1}\left(x\right)=e^x$  

•  $f^{-1}\left(x\right)=3000^x$  

Tags

CCSS.HSF-BF.B.4A

The inverse of  $f\left(x\right)=8^x$  

•  $f^{-1}\left(x\right)=8^x$  

•  $f^{-1}\left(x\right)=\log_8x$  

•  $f^{-1}\left(x\right)=8\log x$  

•  $f^{-1}=x\log8$  

Tags

CCSS.HSF-BF.B.4A

Which equation represents the inverse of: $f\left(x\right)\ =\ 2^x$  

•  $f^{-1}\left(x\right)=\log_8x$ 

•  $f^{-1}\left(x\right)=\ln\ x$  
  

•  $f^{-1}\left(x\right)=\log_38$ 

•  $f^{-1}\left(x\right)=\log_2x$ 

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Given that  $\log_bx=2$  , find  $\log_bx^5$  

• 32

• 10

• 5

• 7

 $\log_by=8,\$  Given that find  $\log_by^2$  

• 16

• 64

• 4

• 2

 $Given\ \log_bx=2\ and\ \log_by=8,$  find  $\log_bx^5y^{\frac{1}{2}}$  

• 16

• 6

• 128

• 14

 $\log_bz=16\ and\ \log_bt=7\ and\ \log_bh=4$  
Find  $\log\ \frac{z^{\frac{1}{2}}\cdot h^3}{t^2}$  

• 256/49

• 0.718

• 12

• 6

State the domain of:  $f\left(x\right)\ =\ \log\ \left(\frac{x-3}{x+5}\right)$  

•  $\left(-\infty,\infty\right)$  
  

• (-5,3)

• (5,-3)

•  $\left(-\infty,-5\right)\ \cup\left(3,\infty\right)$  
  

Find the domain of:

 $f\left(x\right)\ =\log\left(\ \frac{3-x}{x-7}\right)$  

•  $\left(-\infty,3\right)\cup\left(7,\infty\right)$  
  

• (3,7)

• (-3,7)

•  $\left(-\infty,\ -7\right)\cup\left(3,\infty\right)$  
  

• [-5,5]