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 37E

(a)

To determine

To find: The exact value of the expression.

Expert Solution

The exact value of the expression is 3 .

Explanation of Solution

Given information:

The given expression is,

log26log215+log220

Concept used:

Consider the property of the logarithmic function,

logaax=x

The given expression is calculated as,

log26log215+log220=log2(615)+log220=log2(615×20)=log223=3

Therefore, the exact value of the expression is 3 .

(b)

To determine

To find: The exact value of the expression.

Expert Solution

The exact value of the expression is 2 .

Explanation of Solution

Given information:

The given expression is,

log3100log318log350

Concept used:

Consider the property of the logarithmic function,

logaax=x

The given expression is calculated as,

log3100log318log350=log3(10018)log350=log3(10018×50)=log332=2

Therefore, the exact value of the expression is 2 .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!