SOLUTION: Pls assist in solving:{{{ (0.25)^x = 16}}}

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Question 944474: Pls assist in solving:+%280.25%29%5Ex+=+16
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
+%280.25%29%5Ex+=+16
using logs
log%28%280.25%29%5Ex%29+=+log%2816%29
log equiv of exponents
x%2Alog%28%280.25%29%29+=+log%2816%29
x = log%2816%29%2Flog%28.25%29
x = -2
:
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From your comment
solve: 16x^-3 = 2x^-6
The reciprocal gets rid of the neg exponents
16%2Fx%5E3 = 2%2Fx%5E6
cross multiply
16x^6 = 2x^3
divide both sides by 2
8x^6 = x^3
divide both sides by x^3
8x^3 = 1
divide both sides by 8
x^3 = 1%2F8
find the cube root of both sides
x = 3sqrt%281%2F8%29
x = 1%2F2