SOLUTION: Solve for X: log 16 (1/4) = x I know b= 16 and y = 1/4 but can't seem to figure this problem out. Thank you

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for X: log 16 (1/4) = x I know b= 16 and y = 1/4 but can't seem to figure this problem out. Thank you      Log On


   



Question 634581: Solve for X:
log 16 (1/4) = x
I know b= 16 and y = 1/4 but can't seem to figure this problem out. Thank you

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log 16 (1/4) = x
base = 16
exponent = log = x
result = (1/4)
----
16^x = 1/4
----
(2^4)^x = 2^-2
---
2^(4x) = 2^-2
---
4x = -2
x = -1/2
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Cheers,
Stan H.