SOLUTION: 135times 5^(3x+1) = 75 times 3^(4 - 3x)

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Question 1027564: 135times 5^(3x+1) = 75 times 3^(4 - 3x)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
135%2A5%5E%283x%2B1%29+=+75%2A+3%5E%284+-+3x%29
<==> 5%5E%283x%2B1%29%2F5+=+3%5E%284-3X%29%2F3%5E2
<==> 5%5E%283X%29+=+3%5E%282-3X%29
<==> 5%5E%283X%29+=+3%5E2%2F3%5E%283X%29
<==> 15%5E%283X%29+=+3%5E2
==> 3xln(15) = 2ln3
==> x+=+%282ln3%29%2F%283ln15%29