If log x 4=0.4, then the value of x is · ABC26GN2026

$\log _{x} 4=0.4 \Leftrightarrow \log _{x} 4=\frac{4}{10}=\frac{2}{5} \Leftrightarrow x^{2 / 5}=4$ $\Leftrightarrow x=4^{5 / 2}=\left(2^{2}\right)^{5 / 2}$ $\Leftrightarrow x=2^{\left(2 \times \frac{5}{2}\right)}=2^{5} \Leftrightarrow x=32$.