What is log_{b}(5x*2y) ?

The solution to log_{b}(5x*2y) is log_{b}(10)+log_{b}(x)+log_{b}(y)

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simplify log_{b}(5x*2y)

simplify

lo g_{b} (5 x \cdot 2 y)

lo g_{b} (10) + lo g_{b} (x) + lo g_{b} (y)

Solution steps

lo g_{b} (5 x \cdot 2 y)

Simplify

5 x \cdot 2 y : 10 x y

= lo g_{b} (10 x y)

Apply log rule:

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

lo g_{b} (10 x y) = lo g_{b} (10) + lo g_{b} (x) + lo g_{b} (y)

= lo g_{b} (10) + lo g_{b} (x) + lo g_{b} (y)

ln (x) - ln (1 - x)

lo g_{3} (24) - lo g_{3} (6)

lo g_{7} (\frac{x}{49})

lo g_{b} (\frac{x ^{3} y}{z ^{2}})

ln (\frac{x ^{2} - 1}{x ^{7}})

What is log_{b}(5x*2y) ?
The solution to log_{b}(5x*2y) is log_{b}(10)+log_{b}(x)+log_{b}(y)