What is log_{2}(7xy) ?

The solution to log_{2}(7xy) is log_{2}(7)+log_{2}(x)+log_{2}(y)

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simplify log_{2}(7xy)

simplify

lo g_{2} (7 x y)

lo g_{2} (7) + lo g_{2} (x) + lo g_{2} (y)

Solution steps

lo g_{2} (7 x y)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{2} (7 x y) = lo g_{2} (7) + lo g_{2} (x) + lo g_{2} (y)

= lo g_{2} (7) + lo g_{2} (x) + lo g_{2} (y)

ln (\frac{33}{58})

\frac{ln ( 21 ) - 3 ln ( 2 )}{5 ln ( 2 )}

ln (\frac{4}{15})

lo g_{10} (\frac{x}{1000 y ^{2}})

What is log_{2}(7xy) ?
The solution to log_{2}(7xy) is log_{2}(7)+log_{2}(x)+log_{2}(y)