What is expand log_{b}(7x*3y) ?

The solution to expand log_{b}(7x*3y) is log_{b}(7)+log_{b}(x)+log_{b}(3)+log_{b}(y)

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expand log_{b}(7x*3y)

expand

lo g_{b} (7 x \cdot 3 y)

lo g_{b} (7) + lo g_{b} (x) + lo g_{b} (3) + lo g_{b} (y)

Solution steps

lo g_{b} (7 x \cdot 3 y)

Apply log rule:

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

lo g_{b} (7 x \cdot 3 y) = lo g_{b} (7) + lo g_{b} (x) + lo g_{b} (3) + lo g_{b} (y)

= lo g_{b} (7) + lo g_{b} (x) + lo g_{b} (3) + lo g_{b} (y)

lo g_{2} (5) + \frac{1}{2} lo g_{2} (36) - lo g_{2} (10)

lo g_{4} (16 y z^{3})

lo g_{10} (5 x + 8) - lo g_{10} (x)

lo g_{4} (\frac{z}{16})

lo g_{8} (64 x^{5})

What is expand log_{b}(7x*3y) ?
The solution to expand log_{b}(7x*3y) is log_{b}(7)+log_{b}(x)+log_{b}(3)+log_{b}(y)