7.4 - 7.6 Quiz Review

Rewrite in exponential form.

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What is the equation for the graph

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  $y=\log_{10}\left(x\right)$
  

• $y=\log_5\left(x\right)$

• $y=\log_2\left(x\right)$

• $y=\log_5\left(-x\right)$

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

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

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

•  $n^{-1}\left(x\right)=\log e$  

•  $n^{-1}\left(x\right)=x^e$  

•  $n^{-1}\left(x\right)=e^x$  

•  $n^{-1}\left(x\right)=x^{\ln}$  

Write in logarithmic form

2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Write the logarithm expression as a single logarithm

log₆25 - log₆5

• log₆125

• log₅20

• log₆5

• log₆30

Write the logarithm expression as a single logarithm

log₄60 - log₄4 + log₄x

• log₄15

• log₄15x

• log₄56x

• xlog₄30

Expand the logarithm expression

log 5x/4y

• log 5x + log 4y

• log 5x - 4log y

• (log 5 + log x) - (log 4 + logy)

• 5log x - 4 logy

Use the change of base formula and your calculator to approximate the log.

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