Question

Exponential equation (log):
625^x=1/√5

Please explain the process for how to solve this!

Answer 1

First note that \(625=5^4\).
Then also notice that \(\frac{1}{\sqrt{5}}=\frac{1}{5^{0.5}}=5^{-0.5}\)
So your equation reduces to:\[(5^4)^x=5^{-0.5}\]Which you should be able to solve without using logs.

Answer 2

You're amazing, thanks so much.
Only..how do I solve from there? :)

Answer 3

Nevermind! I got it now.