SOLUTION: please help me to solve this: 1/81=27^(x-2)

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Question 74130: please help me to solve this: 1/81=27^(x-2)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
please help me to solve this: 1/81=27^(x-2)
81%5E%28-1%29=27%5E%28x-2%29
%283%5E4%29%5E%28-1%29=%283%5E3%29%5E%28x-2%29
3%5E%28-4%29=3%5E%283%28x-2%29%29
Once the bases are the same, equate their exponents.
-4=3(x-2)
-4=3x-6
-4+6=3x-6+6
2=3x
2/3=3x/3
x=2/3
Happy Calculating!!!!