inverses of logarithms

Logarithms are the inverse of ___________.

• Trees
• Quadratics
• Square
• Exponential

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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.4

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  $y\ =\ \log_4\left(x-1\right)$ 

•  $y=x$  

•  $y=\log_34^x$  

•  $y=4^x+1$  

•  $y=4^{x+1}$  

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

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.4

CCSS.HSF.BF.B.5

 $Find\ the\ inverse\ of\ :\ y=\log_9x+4$  
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.4

CCSS.HSF.BF.B.5

 $\log(x)$  is the same thing as...

•  $\ln x$  

•  $\log_{10}x$  

•  $\log_ex$  

•  $\log_x10$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

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

•  $3x$  

•  $-3x$  

•  $6x$  

•  $-6x$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4