SOLUTION: How do I solve the following logarithmic equation for x? The base of the following log is x. log64 = 3/2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do I solve the following logarithmic equation for x? The base of the following log is x. log64 = 3/2      Log On


   



Question 698511: How do I solve the following logarithmic equation for x?
The base of the following log is x.
log64 = 3/2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The base of the following log is x.
logx(64) = 3/2
----
base = x
log = exponent = 3/2
result = 64
-----
x^(3/2) = 64
----
x = (64)^(2/3)
-----
x = 4^2
---
x = 16
------------------
Cheers,
Stan H.