SOLUTION: Please help me answer this: 3^(4x) = 27^(x-2) Thanks.

Question 199666: Please help me answer this:
3^(4x) = 27^(x-2)
Thanks.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Rewrite 27 as

Multiply the exponents.

Since the bases are equal, the exponents are equal.

Distribute.

Subtract from both sides.

Combine like terms on the left side.

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Answer:

So the solution is
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