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Chapter 10: Q. 222 (page 1044)

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

a8log87blog66-2

Short Answer

Expert verified

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

Part b. The value of the given logarithm expression is-2.

Step by step solution

01

Part a Step 1. Given Infomation 

The given logarithm expression is8log87.

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 isalogax=x.

So,8log87=7.

03

Part b Step 1. Given Infomation

The given logarithm expression islog66-2.

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 islogaax=x.

So,log66-2=-2.

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