2^x+3=5^3x-1

Question

thanks!

Answer 1

2^(x+3) = 5^(3x-1)
(x+3)log2 = (3x+1)log5
xlog2 + 3log2 = 3xlog5 + log5
x(log2 - 3log5) = log5 - 3log2
x = (log5 - 3log2)/(log2 - 3log5)
x = 0.11366