SOLUTION: 2^(1/x)=1.12 Solve for x

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Question 1068486: 2^(1/x)=1.12
Solve for x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2^(1/x)=1.12
Solve for x
2%5E%281%2Fx%29+=+1.12
using natural logs
ln%282%5E%281%2Fx%29%29+=+ln%281.12%29
log equiv of exponents
1%2Fxln(2) = ln(1.12)
1%2Fx = ln%281.12%29%2Fln%282%29
use your calc
1%2Fx = .1635
.1635x = 1
x = 1%2F.1635
x = 6.1162
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Check on your calc: enter 2^(1/6.1162)