SOLUTION: How do you solve, {{{(1/3)^x}}}{{{""=""}}}{{{243}}}

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Question 1101522: How do you solve, %281%2F3%29%5Ex%22%22=%22%22243
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F3%29%5Ex%22%22=%22%22243

243 = 3*81 = 3*9*9 = 3*3*3*3*3 = 35

Also 1/3 = 3-1

%283%5E%28-1%29%29%5Ex%22%22=%22%223%5E5

Multiply exponents on the left to remove parentheses:

3%5E%28-x%29%22%22=%22%223%5E5

Since the bases of the exponents on both side
are equal, the exponents are also equal, so

-x%22%22=%22%225

x%22%22=%22%22-5

Edwin