What is log_{b}(19x*18y) ?

The solution to log_{b}(19x*18y) is log_{b}(19)+log_{b}(x)+log_{b}(18)+log_{b}(y)

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simplify log_{b}(19x*18y)

simplify

lo g_{b} (19 x \cdot 18 y)

lo g_{b} (19) + lo g_{b} (x) + lo g_{b} (18) + lo g_{b} (y)

Solution steps

lo g_{b} (19 x \cdot 18 y)

Apply log rule:

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

lo g_{b} (19 x \cdot 18 y) = lo g_{b} (19) + lo g_{b} (x) + lo g_{b} (18) + lo g_{b} (y)

= lo g_{b} (19) + lo g_{b} (x) + lo g_{b} (18) + lo g_{b} (y)

lo g_{10} (6) + lo g_{10} (8)

ln (\frac{x ^{2}}{( x - 1 ) ^{3}})

lo g_{10} (\frac{( x + 2 ) ^{3}}{x y})

lo g_{10} (\frac{x - y}{3})

ln (\frac{13}{4})

What is log_{b}(19x*18y) ?
The solution to log_{b}(19x*18y) is log_{b}(19)+log_{b}(x)+log_{b}(18)+log_{b}(y)