Question

(log10(5log10 100))^2​

Answer 1

Answer:

1

Hello.  Hope this helps!

Step-by-step explanation:

$\displaystyle\bigl(\log_{10}(5\log_{10}100)\bigr)^2\\ \\=\bigl(\log_{10}(5\log_{10}10^2)\bigr)^2\\ \\=\big(\!\log_{10}(5\times2)\bigr)^2\\ \\=(\log_{10}10)^2\\ \\=1^2\\ \\=1$