16^x-1=216

решить уравнение

16^ (x-1) = 216

2^4 (x-1) = 216

log2 (2^4 (x-1)) = log2 (216)

4 (x-1) log2 (2) = log2 (2^3*3^3) = log2 (2^3) + log2 (3^3) = 3log2 (2) + 3log2 (3) = 3 (1+log2 (3))

4 (x-1) = 3 (1+log2 (3))

x-1 = 3/4 (1+log2 (3))

x = 3/4 (1+log2 (3)) + 1