Solve for x 5^x = 324 Round your answer to four decimals.



2 Answers | Add Yours

jeew-m's profile pic

Posted on (Answer #1)

`5^x = 324`

Take log on both sides

`log(5^x) = log324`

`xlog5 = log324`

`x = log324/log5`

`x = 3.5918`

So the answer is x = 3.5918

Wiggin42's profile pic

Posted on (Answer #2)

5^x = 324

Here the x is in the exponent so we have to the opposite operation which is logs. Take the log of both sides: 

log(5^x) = log324

One neat property of logs is that in this form, the exponent can be written as multiplication: 

xlog5 = log324

x = log324/log5

We’ve answered 288,050 questions. We can answer yours, too.

Ask a question