9^2x-1 - 9^2x-2 = 1944. Many didn't know how to begin! Literally 90% failed to get it right!

9^2x-1 - 9^2x-2 = 1944. Many didn't know how to begin! Literally 90% failed to get it right!

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[dougnettleton]

9^(2x-1) - 9^(2x-2) = 1944
9^(2x-2)×[9 - 1] = 1944
9^(2x-2)×8/8 = 1944/8
9^(2x-2) = 243 = 3^5
3^(4x-4) = 3^5
4x-4 = 5
x = 9 / 4