# The value of log 5 10 . ### 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 42E

(a)

To determine

## To evaluate: The value of log510 .

Expert Solution

The value of log5101.430676 .

### Explanation of Solution

Use the formula 10, a>0,a1,logax=lnxlna and express the given expression as log510=ln10ln5 .

Simplify further as follows.

ln10ln5=2.3025851.6094381.430676 .

Thus, the value of log5101.430676 .

(b)

To determine

### To evaluate: The value of log357 .

Expert Solution

The value of log3573.680145 .

### Explanation of Solution

Use the formula 10, a>0,a1,logax=lnxlna and rewrite the given expression as log357=ln57ln3 .

Simplify further as follows.

ln57ln3=4.0430521.0986123.680145 .

Thus, the value of log3573.680145 .

### 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!