What is log_{b}(5xy) ?

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

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simplify log_{b}(5xy)

simplify

lo g_{b} (5 x y)

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

Solution steps

lo g_{b} (5 x y)

Apply log rule:

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

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

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

\frac{1}{2} lo g_{10} (a) + 5 lo g_{10} (b)

lo g_{10} (7 x^{3} y)

lo g_{10} (\frac{y}{1000})

2 \cdot lo g_{4} (9) + 3 \cdot lo g_{4} (2)

lo g_{b} (z^{2} y)

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