Answer:
[tex] {x}^{2} = {16}^{x} \\ \\ {x}^{2} = 2 {}^{4x} [/tex]
introduce logarithm of base 10:
[tex] log( {x}^{2} ) = log( {2}^{4x} ) \\ \\ 2 log(x) = 4x log(2) \\ \\ log(x) = 0.6x \\ \\ x = 4 .{10}^{x} [/tex]
