# Express each as a sum, difference, or multiple of logarithms. See Example 2. log 3 14 Data from Example 2

## Question:

Express each as a sum, difference, or multiple of logarithms. See Example 2.

log_{3} 14

**Data from Example 2**

(a) Using Eq. (13.7), we may express log_{4} 15 as a sum of logarithms:

(b) Using Eq. (13.8), we may express log_{4} (5/3) as the difference of logarithms:

(c) Using Eq. (13.9), we may express log_{4} (t^{2}) as twice log t: 4

log_{4} (t^{2}) = 2 log_{4} t

(d) Using Eq. (13.8) and then Eq. (13.7), we have

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## Step by Step Answer:

**Related Book For**

## Basic Technical Mathematics

**ISBN:** 9780137529896

12th Edition

**Authors:** Allyn J. Washington, Richard Evans

**Question Details**

Chapter #

**13**- Exponential and Logarithmic FunctionsSection: Exercises 13.3

Problem: 10

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