What is log_{b}(xyz) ?

The solution to log_{b}(xyz) is log_{b}(x)+log_{b}(y)+log_{b}(z)

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simplify log_{b}(xyz)

simplify

lo g_{b} (x yz)

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

Solution steps

lo g_{b} (x yz)

Apply log rule:

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

lo g_{b} (x yz) = lo g_{b} (x) + lo g_{b} (y) + lo g_{b} (z)

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

3 ln (x) + 6 ln (y) - 4 ln (z)

4 ln (x) - \frac{1}{4} ln (y)

lo g_{2} (\frac{8}{x + 7})

lo g_{2} (2 x + 1) - 5 lo g_{4} (x^{2}) + 4 lo g_{2} (x)

lo g_{3} ((\frac{3}{x})^{3})

What is log_{b}(xyz) ?
The solution to log_{b}(xyz) is log_{b}(x)+log_{b}(y)+log_{b}(z)