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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 73. (page 309)

Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to three decimal places.
$\log_{\frac{1}{3}} 71$

Short Answer

Expert verified

$- 3.880$

Step by step solution

Step 1. Given information.

Consider the given information.

$\log_{\frac{1}{3}} 71$

Step 2. Calculation.

Apply the base change formula to simplify.

$\begin{array}{rcl} \log_{\frac{1}{3}} 71 & = & \frac{\log 71}{\log \frac{1}{3}} \\ = & \frac{\log 71}{\log 1 - \log 3} \\ = & \frac{\log 71}{0 - \log 3} \\ = & \frac{\log 71}{- \log 3} \\ 鈮� & - 3.880 \end{array}$

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Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to three decimal places.log1371

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

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Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to three decimal places.
$\log_{\frac{1}{3}} 71$