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Chapter 5: Q 58. (page 309)

Write each expression as a single logarithm.
$2 \log_{3} u - \log_{3} v$

Short Answer

Expert verified

The result is $\log_{3} (\frac{u^{2}}{v})$ .

Step by step solution

01

Step 1. Given information.

Consider the given information.

$2 \log_{3} u - \log_{3} v$

02

Step 2. Calculation.

Apply the property $\log_{a} (\frac{M}{N}) = \log_{a} M - \log_{a} N$ .

role="math" localid="1646759695907" $\begin{array}{rcl} 2 \log_{3} u - \log_{3} v & = & \log_{3} u^{2} - \log_{3} v \\ = & \log_{3} (\frac{u^{2}}{v}) \end{array}$

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Most popular questions from this chapter

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

Find $f (3)$ if $f (x) = - 4 x^{2} + 5 x$ .

Solve the equation $3^{x^{3}} = 9^{x}$

and verify your results using a graphing utility.

In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.

$y = 2^{x} + 1$

solve each equation. Verify your results using a graphing utility.

$4^{x} 2^{x^{2}} = 16^{2}$

See all solutions

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