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Chapter 10: Q. 422 (page 1065)

In the following exercises, use properties of logarithms to write each logarithm as a sum of logarithms. Simplify if possible.
log3(4x7y8).

Short Answer

Expert verified

The solution islog3(2)+7log3(x)+8log3(y).

Step by step solution

01

Step 1. Given and explanation.

We have log3(4x7y8).

The product property states that if there is an expression as loga(m路n), it is equal to logam+logan.

Applying this, we get the solution.

02

Step 2. Finding the solution.

We have log3(4x7y8).

Applying the product property, we get
=log3(4x7y8)=log3(4)+log3(x)7+log3(y)8=log3(2)+7log3(x)+8log3(y)
Thus we get the value.

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