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Chapter 10: Q. 246 (page 1044)

In the following exercises, use the Power Property of Logarithms to expand each. Simplify if possible.
log4x.

Short Answer

Expert verified

The value of the expression is12log4x.

Step by step solution

01

Step 1. Given and explanation.

We have log4x.

We know the power property of logarithms.
It states that if there is an expression as logamp, it is equal to plogam.

Applying this property, we will simplify the expression.

02

Step 2. Simplifying the expression.

We havelog4x.
This can be written as log4(x)12

Applying the power property, we get
role="math" localid="1644999175047" =log4(x)12=12log4x
Thus we get the value as12log4x.

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