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Chapter 10: Q. 258 (page 1045)

In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible.

log22x+y2z2

Short Answer

Expert verified

The simplified expression is,

12log22x+y2-2log2z

Step by step solution

01

Step 1. Given and explanation  

We are given an expression,

log22x+y2z2

Use the properties of logarithms to simplify the given expression.

02

Step 2. Simplifying the expression  

Using quotient property of logarithm , we get

log22x+y2z2=log22x+y2-log2z2log22x+y2z2=log22x+y212-log2z2

Now, using power property of logarithm , we get

log22x+y2z2=12log22x+y2-2log2z

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