SOLUTION: find x 2^(5x-9)=(1/8)^(6x+6)

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Question 1069890: find x
2^(5x-9)=(1/8)^(6x+6)
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2%5E%28+5x+-+9+%29+=+%28+1%2F8+%29%5E%28+6x%2B6+%29+
+2%5E%28+5x+-+9+%29+=+%28+2%5E%28-3%29%29%5E%28+6x%2B6+%29+
+2%5E%28+5x+-+9+%29+=+2%5E%28+%28-3%29%2A%28+6x%2B6+%29+%29+
+5x+-+9+=+%28+-3+%29%2A%28+6x+%2B+6+%29+
+5x+-+9+=+-18x+-+18+
+23x+=+-9+
+x+=+-9%2F23+
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check:
+2%5E%28+5x+-+9+%29+=+%28+1%2F8+%29%5E%28+6x%2B6+%29+

+2%5E%28%28+-45%2F23++-+9+%29%29+=+%281%2F8%29%5E%28%28+-54%2F23+%2B+6+%29%29+
+2%5E%28%28+-45%2F23+-+207%2F23+%29%29+=+%281%2F8%29%5E%28%28+-54%2F23+%2B+138%2F23+%29%29+
+2%5E%28%28+-252%2F23+%29%29+=+%28+1%2F8+%29%5E%28%28+84%2F23+%29%29+
+2%5E%28+-252%2F23+%29+=+2%5E%28+%28-3%29%2A%2884%2F23+%29+%29+
+2%5E%28+-252%2F23+%29+=+2%5E%28+-252%2F23+%29+
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Check my math & definitely get a 2nd opinion

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Working the problem on paper separately, result found x=-9%2F23.