What is log_{b}(7x*2y) ?

The solution to log_{b}(7x*2y) is log_{b}(14)+log_{b}(x)+log_{b}(y)

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simplify log_{b}(7x*2y)

simplify

lo g_{b} (7 x \cdot 2 y)

lo g_{b} (14) + lo g_{b} (x) + lo g_{b} (y)

Solution steps

lo g_{b} (7 x \cdot 2 y)

Simplify

7 x \cdot 2 y : 14 x y

= lo g_{b} (14 x y)

Apply log rule:

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

lo g_{b} (14 x y) = lo g_{b} (14) + lo g_{b} (x) + lo g_{b} (y)

= lo g_{b} (14) + lo g_{b} (x) + lo g_{b} (y)

20 lo g_{2} (x) - 5 lo g_{2} (y)

lo g_{10} (\frac{z ^{3}}{x ^{5} y})

lo g_{10} (48) - lo g_{10} (2)

lo g_{10} (\frac{7 ( x + 6 ) ^{3}}{x ^{5}})

ln (\frac{e ^{5}}{3})

What is log_{b}(7x*2y) ?
The solution to log_{b}(7x*2y) is log_{b}(14)+log_{b}(x)+log_{b}(y)