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Chapter 10: Q. 226 (page 1044)

In the following exercises, use the properties of logarithms to evaluate:

(a)eln4(b)lne2

Short Answer

Expert verified

Part a. The value of the given expression is4.

Part b. The value of the given expression is2.

Step by step solution

01

Part a Step 1. Given Infomation

The given logarithm expression iseln4.

We have to use the properties of logarithms to evaluate.

02

Part a Step 2. Use the property of logarithm to evaluate

The property of logarithm iselnx=x.

So,eln4=4.

03

Part b Step 1. Given Infomation

The given logarithm expression islne2.

We have to use the properties of logarithms to evaluate.

04

Part b Step 2. Use the property of logarithm to evaluate

The property of logarithm islnex=x.

So,lne2=2.

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