SOLUTION: How do I solve this without a calculator? 1/27=3^2x

Question 303926: How do I solve this without a calculator?
1/27=3^2x
Found 3 solutions by JBarnum, richwmiller, Alan3354:
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!

multiplying by reciprical makes it easy without calculator.
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
There are two things that you have to be able to see.
You have to know that 27 is a power of 3
27=3^3
you have to know that 1/27 is 1/3^3 and also 3^(-3)
1/27=3^(-3)
so we have 3^(-3)=3^2x
2x=-3
x=-1.5

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
It could be either of the 2 solutions.
Parentheses are free. Use some.

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