SOLUTION: Can you help with this please. 1.733985 = 1.035^n How do I work out what n is? I know that it is 16 on this occasion but don't know how to do the maths to get 16 as the answe

Algebra ->  Algebra  -> Exponents -> SOLUTION: Can you help with this please. 1.733985 = 1.035^n How do I work out what n is? I know that it is 16 on this occasion but don't know how to do the maths to get 16 as the answe      Log On

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Question 163180: Can you help with this please.
1.733985 = 1.035^n
How do I work out what n is? I know that it is 16 on this occasion but don't know how to do the maths to get 16 as the answer.
Thanks
Darren
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for n:
1.733985+=+1.035%5En Take the logarithm of both sides.
log%28%281.733985%29%29+=+log%28%281.035%29%29%5En Apply the power rule for logarithms to the right side.
log%28%281.733985%29%29+=+n%2Alog%28%281.035%29%29 Divide both sides by log%28%281.035%29%29
n+=+%28log%28%281.733985%29%29%29%2Flog%28%281.035%29%29 Evaluate the right side using your calculator or log tables.
n+=+15.9999 which is very close to:
n+=+16