How do you solve 5^(2x)=20?

1 Answer
May 4, 2018

The solution is x=log_5(20)/2.

Explanation:

To solve the equation, take the log_5 of both sides:

5^(2x)=20

log_5(5^(2x))=log_5(20)

color(red)cancelcolor(black)(log_5)(color(red)cancelcolor(black)5^(2x))=log_5(20)

2x=log_5(20)

x=log_5(20)/2

color(white)x~~0.930677...

Hope this helped!