- #1

mathdummy

"Solve the exponential equation with base

*a*algebraically. Approximate the result to three decimal places."

3^2x=80

(fyi, the answer is ln80/2ln3 = 1.994)

Don't understand how to solve, please help!

- Thread starter mathdummy
- Start date

- #1

mathdummy

"Solve the exponential equation with base

3^2x=80

(fyi, the answer is ln80/2ln3 = 1.994)

Don't understand how to solve, please help!

- #2

jcsd

Science Advisor

Gold Member

- 2,090

- 11

3

take the natural logarithm of both sides:

ln 3

use the rule ln x

2xln 3 = ln 80

2x = ln 80/ln 3

x = ln 80/2ln 3

- #3

mathdummy

- #4

jcsd

Science Advisor

Gold Member

- 2,090

- 11

- Last Post

- Replies
- 61

- Views
- 6K

- Replies
- 1

- Views
- 956

- Replies
- 4

- Views
- 3K

- Last Post

- Replies
- 4

- Views
- 3K

- Last Post

- Replies
- 12

- Views
- 4K

- Last Post

- Replies
- 24

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 980

- Last Post

- Replies
- 7

- Views
- 695

- Last Post

- Replies
- 5

- Views
- 2K

- Last Post

- Replies
- 3

- Views
- 2K