BuyFind

Single Variable Calculus: Concepts...

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

Single Variable Calculus: Concepts...

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

Solutions

Chapter 1, Problem 10RQ
To determine

Whether the statement, if x>0, then (lnx)6=6lnx is true or false.

Expert Solution

Answer to Problem 10RQ

Solution:

The statement is false.

Explanation of Solution

Recall the logarithm rule, lnxm=mlnx.

Thus, lnx6=6lnx.

Since (lnx)6 and lnx6 are not the same, (lnx)66lnx.

For example, let x = 3 and compute the value of (lnx)6 and lnx6.

(ln3)6=(1.098)6=1.752ln36=ln729=6.591

Thus, (lnx)66lnx.

Therefore, the given statement is false.

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!