SOLUTION: how do I solve the exponential equation by expressing each side as a power of the same base and then equating exponents? 9^x=27

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: how do I solve the exponential equation by expressing each side as a power of the same base and then equating exponents? 9^x=27      Log On


   

Question 950073: how do I solve the exponential equation by expressing each side as a power of the same base and then equating exponents?
9^x=27
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
That's one way you can do it.
9%5Ex=27
3%5E%282x%29=3%5E3
2x=3
x=3%2F2
You can also take the logarithm of both sides.
9%5Ex=27
x=log%289%2C%2827%29%29
x=log%28%2827%29%29%2Flog%28%289%29%29
x=log%28%283%5E3%29%29%2Flog%28%283%5E2%29%29
x=%283%2Alog%28%283%29%29%29%2F%282%2Alog%28%283%29%29%29
x=3%2F2