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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 71. (page 309)

Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to three decimal places.
$\log_{3} 21$

Short Answer

Expert verified

2.771

Step by step solution

Step 1. Given information.

Consider the given expression.

$\log_{3} 21$

Step 2. Calculation.

Apply the base change formulas to evaluate.

$\begin{array}{rcl} \log_{3} 21 & = & \frac{\log 7 路 3}{\log 3} \\ = & \frac{\log 7}{\log 3} + \frac{\log 3}{\log 3} \\ = & 1.771 + 1 \\ = & 2.771 \end{array}$