SOLUTION: Solve for x. Log base {{{ sqrt( 5 ) }}}(25^(4x-1))=3 Help please

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Question 473386: Solve for x.
Log base +sqrt%28+5+%29+(25^(4x-1))=3
Help please
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x.
Log sqrt( 5 )(25^(4x-1)) = 3
-----
base = sqrt(5)
log = exponent = 3
result = 25^(4x-1)
-----
Equation:
25^(4x-1) = (sqrt(5))^3
-----
5^[8x-2] = 5^(3/2)
----
8x-2 = 3/2
---
8x = 7/2
----
x = 7/16
===============
Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x.
Log base (25^(4x-1))=3
------------------
log%28sqrt%285%29%2C25%5E%284x-1%29%29+=+3
25%5E%284x-1%29+=+%28sqrt%285%29%29%5E3
25+=+%28sqrt%285%29%29%5E4
%28sqrt%285%29%29%5E%2816x-4%29+=+%28sqrt%285%29%29%5E3
16x - 4 = 3
x = 7/16