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Chapter 10: Q. 414 (page 1064)

In the following exercises, use the properties of logarithms to evaluate.
(a)10log5

(b)log(10)-3

Short Answer

Expert verified

The solution is-

(a)5

(b)-3

Step by step solution

01

Step 1. Solving for part (a)

We have10log5.
This can be written as10log105.

We will evaluate this using the property, alogax=x. So,

10log105=5.

02

Step 2. Solving for part (b)

We havelog(10)-3.
This can be written aslog10(10)-3

We will evaluate this using the property, logaax=x. So,

log10(10)-3=-3.

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