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Chapter 10: Q. 220 (page 1044)

In the following exercises, use the properties of logarithms to evaluate:

a3log36blog227

Short Answer

Expert verified

Part a. The value of the given logarithm expression is6.

Part b. The value of the given logarithm expression is7.

Step by step solution

01

Part a Step 1. Given Infomation 

The given logarithm expression is3log36.

We have to use the properties of logarithms to evaluate.

02

Part a Step 2. Use the property of logarithm to evaluate

The property of logarithm is alogax=x.

So,3log36=6.

03

Part b Step 1. Given Infomation 

The given logarithm expression islog227.

We have to use the properties of logarithms to evaluate.

04

Part b Step 2. Use the property of logarithm to evaluate 

The property of logarithm is logaax=x.

So,log227=7.

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