Chapter 5: Q 38. (page 308)

Write each expression as a sum and/or difference of logarithms. Express powers as factors.
$\log_{3} \frac{x}{9}$

Short Answer

Expert verified

The result is $\log_{3} x + 2$ .

Step by step solution

Step 1. Given information.

Consider the given information.

$\log_{3} \frac{x}{9}$

Step 2. Calculation.

Apply the logarithm property to simplify.

$\begin{array}{l} \log_{3} \frac{x}{9} = \log_{3} x + \log_{3} 9 \\ = \log_{3} x + \log_{3} 3^{2} \\ = \log_{3} x + 2 \log_{3} 3 \\ = \log_{3} x + 2 \end{array}$

Step 3. Conclusion.

The obtained result is $\log_{3} x + 2$ .

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Write each expression as a sum and/or difference of logarithms. Express powers as factors.
$\log_{3} \frac{x}{9}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

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Write each expression as a sum and/or difference of logarithms. Express powers as factors.log3x9

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Pure Maths

Study anywhere. Anytime. Across all devices.

Write each expression as a sum and/or difference of logarithms. Express powers as factors.
$\log_{3} \frac{x}{9}$