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Chapter 10: Q. 234 (page 1044)

In the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum of logarithms. Simplify if

possible:

log338

Short Answer

Expert verified

The given logarithm as a sum of the logarithm is1-log38.

Step by step solution

01

Step 1. Given Information

The given logarithm expression is log338.

We have to use the Quotient Property of Logarithms to write logarithms as a sum of logarithms.

02

Step 2. Use the Quotient Property of Logarithms 

The Quotient Property of Logarithms islogaMN=logaM-logaN.

So,log338=log33-log38

03

Step 3. Simplify

Now, by using the properties of logarithms we get

=log33-log38=1-log38[logaa=1]

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