Question

X^2=16^X
Find the value of x

Answer 1

`{x}^(2) = {16}^(x) \\ \\ {x}^(2) = 2 {}^(4x)`

introduce logarithm of base 10:

`log( {x}^(2) ) = log( {2}^(4x) ) \\ \\ 2 log(x) = 4x log(2) \\ \\ log(x) = 0.6x \\ \\ x = 4 .{10}^(x)`