SOLUTION: solve 27^x=(1/243)^x-2

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Question 669914: solve
27^x=(1/243)^x-2
Answer by lwsshak3(11628) About Me  (Show Source):
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solve
27^x=(1/243)^(x-2)
27^x=(243^-1)^(x-2)
27^x=(243^(2-x))
xlog27=(2-x)log243
x/(2-x)=log243/log27≈1.6667=5/3
x=(2-x)*5/3
3x=10-5x
8x=10
x=10/8
x=5/4=1.25