What is log_{4}(5xy) ?

The solution to log_{4}(5xy) is log_{4}(5)+log_{4}(x)+log_{4}(y)

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simplify log_{4}(5xy)

simplify

lo g_{4} (5 x y)

lo g_{4} (5) + lo g_{4} (x) + lo g_{4} (y)

Solution steps

lo g_{4} (5 x y)

Apply log rule:

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

lo g_{4} (5 x y) = lo g_{4} (5) + lo g_{4} (x) + lo g_{4} (y)

= lo g_{4} (5) + lo g_{4} (x) + lo g_{4} (y)

lo g_{10} (125) - lo g_{10} (8)

ln (x^{6} 5 - x)

ln (\frac{( x ^{2} - 1 )}{x ^{9}})

lo g_{9} (\frac{3 x ^{3}}{y})

lo g_{n} (\frac{4}{n})

What is log_{4}(5xy) ?
The solution to log_{4}(5xy) is log_{4}(5)+log_{4}(x)+log_{4}(y)