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Chapter 10: Q. 247 (page 1044)

In the following exercises, use the Power Property of Logarithms to expand each. Simplify if possible.
log5x3.

Short Answer

Expert verified

The value of the expression is13log5x.

Step by step solution

01

Step 1. Given and explanation.

We have log5x3.

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 have log5x3.

This can be written as log5(x)13.

Applying the power property, we get
=log5(x)13=13log5(x)
Thus we get the value as13log5(x).

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