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

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

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

expand

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

lo g_{b} (5) + lo g_{b} (x) + lo g_{b} (2) + lo g_{b} (y)

Solution steps

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

= lo g_{b} (5) + lo g_{b} (x) + lo g_{b} (2) + lo g_{b} (y)

6 lo g_{10} (d) - 3 lo g_{10} (k)

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

- lo g_{10} (3.7 \cdot 1 0^{- 5})

lo g_{10} (x^{2} x^{3} + 1)

4 lo g_{10} (x) - lo g_{10} (\frac{1}{x}) - lo g_{10} (y)

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