SOLUTION: what is the value of x in the exponential equation 4^(5-9x)=1/8^(x-2)

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Question 1053561: what is the value of x in the exponential equation 4^(5-9x)=1/8^(x-2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since 1%2F8=1%2F2%5E3=2%5E%28-3%29 and 2%5E2=4
2%5E%282%285-9x%29%29=2%5E%28-3%28x-2%29%29
So then,
2%285-9x%29=-3%28x-2%29
10-18x=-3x%2B6
-15x=-4
x=4%2F15