7*(2^(3x-5)) = 53
7*(2^(3x-5)) = 53 divide both sides by 7
2^(3x - 5) = 7 4/7 take the log of both sides
(3x - 5) log(2) = log 7 4/7
(3x - 5) =log 7 4/7 / log (2)
(3x - 5) = 2.9205655
3x = 2.9205655 + 5
3x = 7.9205655 divide both sides by 3
x = 2.6401885