SOLUTION: Please help and explain: 2^3-x=565

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Question 764536: Please help and explain:
2^3-x=565
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
2%5E%28%283-x%29%29 = 565
find the log of both sides
log%282%5E%28%283-x%29%29%29 = log%28565%29
the log equiv of exponents
(3-x)*log(2) = log(565)
3 - x = log%28565%29%2Flog%282%29
3- x = 9.1421
-x = 9.1421 - 3
-x = 6.1421
x = -6.1421
:
:
Check this on a calc: enter: 2^(3-(-6.1421)) results in 564.997 ~ 525