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

$Log_{2} (Log_{5} (x)) = 3 \\ \\ 2^{3} = Log_{5} (x) \\ \\ 8 = Log_{5} (x) \\ \\ x = 5^{8} \\ \\ x = 390,625$