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Chapter 10: Q. 235 (page 1044)

In the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum of logarithms. Simplify if possible.
log656.

Short Answer

Expert verified

The value of the expression islog65-1.

Step by step solution

01

Step 1. Given and explanation.

We have log656.

We know the quotient property of logarithms.

It states that if there is an expression as logamn, it is equal to logam-logan.

Applying this property, we will simplify the expression.

02

Step 2. Simplifying the expression.

We have log656.

Applying the quotient property, we get
log656=log65-log66=log65-1
log66is equal to 1because6raised to the power one is6.Thus we get the value aslog65-1.

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