# The exact value of the expression.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.6, Problem 38E

(a)

To determine

## To find: The exact value of the expression.

Expert Solution

The exact value of the expression is 125 .

### Explanation of Solution

Given information:

The given expression is,

e2ln5

Concept used:

Consider the property of the logarithmic function,

elnx=xlnex=x

The given expression is calculated as,

e2ln5=eln52=52=125

Therefore, the exact value of the expression is 125 .

(b)

To determine

### To find: The exact value of the expression.

Expert Solution

The exact value of the expression is 10 .

### Explanation of Solution

Given information:

The given expression is,

ln(lnee10)

Concept used:

Consider the property of the logarithmic function,

elnx=xlnex=x

The given expression is calculated as,

ln(lnee10)=ln(e10lne)=ln(e10)=10lne=10

Therefore, the exact value of the expression is 10 .

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