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Chapter 10: Q. 248 (page 1044)

In the following exercises, use the Power Property of Logarithms to expand each. Simplify if possible.
ln(x)3.

Short Answer

Expert verified

The value of the expression is (3)12ln(x)or3ln(x).

Step by step solution

01

Step 1. Given and explanation.

We have ln(x)3.

We know the power property of logarithms.

It states that if there is an expression as lnmp, it is equal to pln(m).

Applying this property, we will simplify the expression.

02

Step 2. Simplifying the expression.

We have ln(x)3.

Applying the power property, we get
=ln(x)3
=3ln(x).

This can also be written as (3)12ln(x).

Thus we get the value asrole="math" localid="1645009170387" 3ln(x)or(3)12ln(x).

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