Chapter 10: Q. 431 (page 1065)

In the following exercises, rounding to three decimal places, approximate each logarithm.
$\log_{\sqrt{3}} 16$

Short Answer

Expert verified

The value of $\log_{\sqrt{3}} 16$ is $8.328$

Step by step solution

Step 1. Given data

The given logarithm expression is $\log_{\sqrt{3}} 16$

Step 2. Apply change of base formula of the logarithm

Use change of base formula of the logarithm $\log_{a} (m) = \frac{\log_{b} (m)}{\log_{b} (a)}$

role="math" localid="1645034870326" $\log_{\sqrt{3}} 16 = \frac{\log 16}{\log \sqrt{3}}$

Step 3. calculation

Enter the expression in the calculator

$\frac{\log 16}{\log \sqrt{3}} = 8.328$

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In the following exercises, rounding to three decimal places, approximate each logarithm.
$\log_{\sqrt{3}} 16$

Short Answer

Step by step solution

Step 1. Given data

Step 2. Apply change of base formula of the logarithm

Step 3. calculation

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In the following exercises, rounding to three decimal places, approximate each logarithm.log316

Short Answer

Step by step solution

Step 1. Given data

Step 2. Apply change of base formula of the logarithm

Step 3. calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Calculus

Statistics

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, rounding to three decimal places, approximate each logarithm.
$\log_{\sqrt{3}} 16$