SOLUTION: how do I solve this equation: (1/16) raised to power x equals 2 ???

Question 847703: how do I solve this equation: (1/16) raised to power x equals 2 ???
Found 2 solutions by swincher4391, Alan3354:
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
(1/16)^x = 2

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
how do I solve this equation: (1/16) raised to power x equals 2 ???
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The "hard way"
x*log(1/16) = log(2)
x = log(2)/log(1/16)
x = -0.25 = -1/4
=======================
If you spot that 1/16 = 2^-4, then

-4x = 1
x = -1/4

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