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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 78. (page 309)

Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to three decimal places.
$\log_{蟺} \sqrt{2}$

Short Answer

Expert verified

$0.303$

Step by step solution

01

Step 1. Given information.

Consider the given information.

$\log_{蟺} \sqrt{2}$

02

Step 2. Calculation.

Apply the base change formula and simplify.

$\begin{array}{l} \log_{蟺} \sqrt{2} = \frac{\log \sqrt{2}}{\log 蟺} \\ = \frac{1}{2} (\frac{\log 2}{\log 蟺}) \\ = \frac{0.605}{2} \\ 鈮� 0.303 \end{array}$

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