SOLUTION: Please help me solve {{{ 15^n = 17 }}}

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Question 6529: Please help me solve

Found 4 solutions by Mike, amalm06, TeachMath, Shin123:
Answer by Mike(39)   (Show Source):
You can put this solution on YOUR website!
I assume that you are trying to solve for n?!
1) 15^n = 17 is the same as n*log(15) = log(17).
2) n = log(17)/log(15)
3) n = 1.05
Please pose your questions more clearly next time.
Regards,
-Mike

Answer by amalm06(224)   (Show Source):
You can put this solution on YOUR website!
15^n=17

ln 15^n = ln 17

e^(ln 15^n)=e^(ln 17)

e^(n ln 15)= ln 17

n ln 15 = ln 17

n=(ln 17)/(ln 15) = 1.0462 (Answer)

Answer by TeachMath(96)   (Show Source):
You can put this solution on YOUR website!
15^n = 17
Take the log of both sides to get: log 15^n = log 17
n * log 15 = log 17
n = log(17)/log(15) = 1.0462

Answer by Shin123(626)   (Show Source):
You can put this solution on YOUR website!
If you take the logarithm of both sides, you get log(15^n)=log(17), which can be solved to obtain n=log(17)/log(15)=1.0462.