LMHS Assignment#6B: 6.3 Inverses of Logarithms

How are exponentials and logarithms related?

• They're cousins
• They're inverses
• They're not related
• They're reciprocals

Tags

CCSS.HSF.BF.B.5

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

• Solve for y

• Change to exponential form

• Switch x and y

• Change to logarithmic form

Tags

CCSS.HSF-BF.B.4A

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

• "e"
• Natural Logarithm (LN)
• Common Logarithm (Log)
• Natural Log, base "e"
  LN_e

Tags

CCSS.HSF.BF.B.5

Find the inverse of f(x)=log₃(x+2)

• $f^{-1}\left(x\right)=1^x$

• $f^{-1}\left(x\right)=3^x-2$

• $f^{-1}\left(x\right)=3^{x-2}$

• $f^{-1}\left(x\right)=3^{x+2}$

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

•  $y=x$  

•  $y=\log_34^x$  

•  $y=4^x+1$  

•  $y=4^{x+1}$  

Tags

CCSS.HSF-BF.B.4A

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

•  $y=e^x-3$  

•  $y=e^{x-3}$  

•  $y=e^x+3$  

•  $y=e^{x+3}$  

Tags

CCSS.HSF-BF.B.4A

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

•  $y=9^x+4$  

•  $y=9^x-4$  

•  $y=9^{\left(x-4\right)}$  

•  $y=9^{\left(x+4\right)}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x)=2log₃(x)

HINT: isolate the logarithm first.

• f^-1(x)=3^(x/2)

• f^-1(x)=(3^x)/2

• f^-1(x)=3^x

• f^-1(x)=3^(x-2)

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the function f(x)=log₃(x)+5

• f^-1(x)=3^x-5
• f^-1(x)=3^(x+5)
• f^-1(x)=3^(x-5)
• f^-1(x)=3^x+5

Tags

CCSS.HSF-BF.B.4A

 $\log(x)$  is the same thing as...

•  $\ln x$  

•  $\log_{10}x$  

•  $\log_ex$  

•  $\log_x10$  

Tags

CCSS.HSF.BF.B.5