Question 300365
log625(1/5)=x 
---
Write the equation in exponential form. 
-----------
625^x = (1/5)
Write the right side in exponential form.
---
625^x = 5^(-1)
----
Since the base is 5 on the right side, convert the left 
side to base 5:
(5^4)^x = 5^(-1)
5^(4x) = 5^(-1)
---
The bases are the same so equate the exponents.
---
4x = -1
x = -1/4
===========
Cheers,
Stan H.