Solve for x : 3power 2 x+1 = 9power2x-1
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Assuming the question actually means 9^(2x+1) = [81^(x+2)]/3^x…
then you can change 9 and 81 to powers of 3…3^(2(2x+1)) = [3^(4(x+2))]/3^x
the multiply both sides by 3^x…
3^(5x+2) = 3^(4x+8)
this allows you to solve for X by setting the powers of 3 = to eachother.
5x+2 = 4x+8
then subtract 4x from the right and left
x +2 = 8
subtract 2
x=6
PS ….can be checked by putting 6 back into original equation.
Which yields 9^16 =2,541,865,828,329
=( 81^8)/(3^6) = 2,541,865,828,329 which is equal…
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Hope this will help you.
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