SOLUTION: Solve this equation. 1/32=2^1-x

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Question 80047: Solve this equation.
1/32=2^1-x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1/32=2^1-x
:
If you remember the powers of 2, you can look at this: 2^-5 = 1/32
Therefore x = 6; however they may want you to use logs to solve it
:
2%5E%281-x%29 = 1%2F32
:
ln%282%5E%281-x%29%29 = ln%281%2F32%29; nat log of both sides
:
(1-x)*ln(2) = ln%281%2F32%29; log equiv of exponents
:
.693147(1-x) = -3.4657
:
.69347 - .69347x = -3.4657
:
-.69347x = -3.4657 - .69347
:
-.69347x = -4.1592
:
x = -4.1592/-.69347
:
x = +5.9976 ~ 6
:
:
Check: 2^(1-6) = 2^-5 = 1/2^5 which is 1/32