SOLUTION: Can you help me find out x? Thanks! {{{ 3^(9x-2)=243 }}}

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Question 828637: Can you help me find out x? Thanks!
+3%5E%289x-2%29=243+
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
+3%5E%289x-2%29=243+
'
Rule of exponents allows %283%5E%289x%29%29%2F%283%5E2%29=243
3%5E%289x%29=9%2A243
3%5E%289x%29=9%2A27%2A9
3%5E%289x%29=9%5E5
3%5E%289x%29=%283%5E2%29%5E5=3%5E10
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The bases on left and right members are equal. This means their exponents are equal:
9x=10
highlight%28x=10%2F9%29