SOLUTION: How do you find the value of x in 2^x = 1/16?

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Question 826558: How do you find the value of x in 2^x = 1/16?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
use the definition of a logarithm, therefore
2^x = 1/16 is
x = log base 2 (1/16)
x = -4
check the answer
2^-4 = 1/2^4 = 1/16
answer checks