SOLUTION: Here is my problem: 6^(1-x) = e I'm not sure what to do with this. The answer is .44 Please help! Thanks, Sandy

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Here is my problem: 6^(1-x) = e I'm not sure what to do with this. The answer is .44 Please help! Thanks, Sandy      Log On


   

Question 20605: Here is my problem:
6^(1-x) = e
I'm not sure what to do with this.
The answer is .44
Please help!
Thanks,
Sandy
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You could use natural logs (logs to the base e).
6%5E%281-x%29+=+e Take the ln of both sides.
%281-x%29ln%286%29+=+ln%28e%29 But ln(e) = 1, so
%281-x%29ln%286%29+=+1 Divide both sides by ln(6)
1-x+=+1%2Fln%286%29
x+=+1+-+%281%2Fln%286%29%29 Use your calculator to find ln(6).
x+=+1+-+0.558
x+=+0.442