Chapter 5: Q 74. (page 309)

Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to three decimal places.
$\log_{\frac{1}{2}} 15$

Short Answer

Expert verified

$\begin{array}{rcl} - 3.907 \end{array}$

Step by step solution

Step 1. Given information.

Consider the given information.

$\log_{\frac{1}{2}} 15$

Step 2. Calculation.

Apply the base change formula and simplify.

$\begin{array}{rcl} \log_{\frac{1}{2}} 15 & = & \frac{\log 15}{\log \frac{1}{2}} \\ = & \frac{\log 15}{\log 1 - \log 2} \\ = & \frac{\log 15}{0 - \log 2} \\ = & \frac{\log 15}{- \log 2} \\ \approx & - 3.907 \end{array}$

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Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to three decimal places.
$\log_{\frac{1}{2}} 15$

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.log1215

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

Applied Mathematics

Discrete Mathematics

Pure Maths

Geometry

Statistics

Logic and Functions

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.
$\log_{\frac{1}{2}} 15$