SOLUTION: how do i solve for n in the equation: 9 to the n power=729

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: how do i solve for n in the equation: 9 to the n power=729      Log On


   

Question 327112: how do i solve for n in the equation: 9 to the n power=729
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
9 to the n power=729
---
Equation:
9^n = 729
---
Notice that 9^2 = 81
Then 9^3 = 729
So, n = 3
------------------
OR
------
Take the log of both sides to get:
n*log(9) = log(729)
---
Then n = [log(729)]/[log(9)]
---
n = 2.8627/0.9542
---
n = 3
=============
Cheers,
Stan H.