SOLUTION: solve 9^(2x + 1) = 27^x
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-> SOLUTION: solve 9^(2x + 1) = 27^x
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solve 9^(2x + 1) = 27^x
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these types of questions look really hard but at very simple (usually :-) ).
The thing to spot is that the 2 base numbers, here 9 and 27 are both powers of 3. We will convert the numbers to 3 and then we will have "3 to the power of whatever" equals "3 to the power of something else". So, the 2 powers must be the same thing.
So now we can say that
so we are correct.