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

Question 80047: Solve this equation.
1/32=2^1-x
Answer by ankor@dixie-net.com(22740) (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
:
=
:
= ; nat log of both sides
:
(1-x)*ln(2) = ; 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

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