Question

If (x+y) square=125xy,then 2log(x+y)=​
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Answer 1

$\huge{ \bigstar}\huge{\mathcal{ \overbrace{ \underbrace{ \pink{ \fbox{ \green{ \blue{S} \pink{o} \red{l} \green{u} \purple{t} \blue{i} \green{o} \red{n}}}}}}}} \huge{ \bigstar}$

$\longrightarrow \bf{ {(x + y)}^{2} = 125xy} \\ \purple{ \bold{Putting \: log \: on \: both \: sides, \: we \: get,}} \\ \longrightarrow \bf{log {(x + y)}^{2} = log125xy } \\ \longrightarrow \bf{2log(x + y) = log125 + logx + logy} \\ \longrightarrow \bf{2log(x + y) = log {5}^{3} + logx + logy} \\ \longrightarrow{ \boxed{\bf{2log(x + y) = 3log5 + logx + logy}}}$