Question

Solve the equation for x. If necessary, round your answer to two decimal places. Do not include "x =" in your answer.

(1/5)^x = 1/25

Answer 1

You can solve this easily with knowledge that 25 is 5^2, but using logs:
\[(\frac{1}{5})^x=\frac{1}{25}\]
\[x \log \frac{1}{5}=\log\frac{1}{25}\]
\[x=2\]

Answer 2

(1/5)^x=1/25

(1/5)^x=(1/5)^2

x=2

Answer 3

5x5 = 25 ==> 5^2