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

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

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

expand

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

lo g_{b} (7) + lo g_{b} (x) + lo g_{b} (2) + lo g_{b} (y)

Solution steps

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

Apply log rule:

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

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

= lo g_{b} (7) + lo g_{b} (x) + lo g_{b} (2) + lo g_{b} (y)

1 - lo g_{\frac{1}{3}} (x) + lo g_{\frac{1}{3}} (x + 3)

lo g_{7} (x y)

2 lo g_{10} (x) + 4 lo g_{10} (y)

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

ln (x) - ln (12)

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