SOLUTION: Solve 3^x-1= 9^2x

Question 199620: Solve 3^x-1= 9^2x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Rewrite 9 as

Multiply the exponents

Multiply

Since the bases are equal, the exponents are equal.

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the solution is which approximates to .
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