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.

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

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

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.log1371

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

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Geometry

Calculus

Study anywhere. Anytime. Across all devices.

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