Question

[log10 ^(5 log 10^100)]^2​

Answer 1

$\sf{Question}$

$\tt{The\ Value\ Of [log_{10}(5\ log_{10}100)]²}$

$\tt{Solution}$

$\tt{:→[log_{10}(5\ log_{10} 10²)]²}$

$\tt{:→[log_{10}(10\ log_{10} 10)]²⁣   .....As\ log\ a^{m}=m\ log\ a}$

$\tt{:→[log_{10}(10×1)]²⁣      .....As\ log_a a=1}$

$\tt{:→[log_{10}10]²}$

$\tt{:→[1]²= 1}$