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Chapter 5: Q 39. (page 308)

Write each expression as a sum and/or difference of logarithms. Express powers as factors.
$\log_{2} z^{3}$

Short Answer

Expert verified

The result is $3 \ln_{2} z$ .

Step by step solution

01

Step 1. Given information.

Consider the given information.

$\log_{2} z^{3}$

02

Step 2. Calculation.

Apply the logarithm property to simplify.

$\log_{2} z^{3} = 3 \ln_{2} z$

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Most popular questions from this chapter

Begin with the graph of $y = e^{x}$ and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

localid="1646160286433" $f (x) = 5 - e^{- x}$

Solve the equation ${(\frac{1}{5})}^{x} = \frac{1}{25}$

and verify your results using a graphing utility.

Solve the equation $2^{- x} = 16$

and verify your results using a graphing utility

The graphs of $y = a^{- x}$ and $y = {[\frac{1}{a}]}^{x}$ are identical. Why?

In Problems $33 - 40$ , the graph of an exponential function is given. Match each graph to one of the following functions.

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