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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

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

Step 1. Given information.

Consider the given information.

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

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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Write each expression as a single logarithm.2log3u-log3v

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

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