Question

$log_{10}5 . log_{10}20 + ( log_{10 }2)^{2}$
solve it​

Answer 1

check the attachment

hope it helps

Answer 2

$log_{10}(5) log_{10}(20) + {( log_{10}(2)) }^{2} \\ \\ (log_{10}(10) - log_{10}(2) )( log_{10}(10) + log_{10}(2) ) + {( log_{10}(2) )}^{2} \\ \\ 1 - {( log_{10}(2) )}^{2} + {( log_{10}(2) )}^{2} \\ \\ = 1$

hope it helps