Question

Log_2(log_5 x) =3 show steps

Answer 1

Use the definition of a logarithm
If Log(x) = y ; then b^y = x


`Log_(2) (Log_(5) (x)) = 3 \\ \\ 2^(3) = Log_(5) (x) \\ \\ 8 = Log_(5) (x) \\ \\ x = 5^(8) \\ \\ x = 390,625`