What is log_{b}(x^2y^3z) ?

The solution to log_{b}(x^2y^3z) is 2log_{b}(x)+3log_{b}(y)+log_{b}(z)

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simplify log_{b}(x^2y^3z)

simplify

lo g_{b} (x^{2} y^{3} z)

2 lo g_{b} (x) + 3 lo g_{b} (y) + lo g_{b} (z)

Solution steps

lo g_{b} (x^{2} y^{3} z)

Apply log rule:

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

lo g_{b} (x^{2} y^{3} z) = lo g_{b} (x^{2}) + lo g_{b} (y^{3}) + lo g_{b} (z)

= lo g_{b} (x^{2}) + lo g_{b} (y^{3}) + lo g_{b} (z)

lo g_{b} (x^{2}) = 2 lo g_{b} (x)

lo g_{b} (y^{3}) = 3 lo g_{b} (y)

= 2 lo g_{b} (x) + 3 lo g_{b} (y) + lo g_{b} (z)

ln (\frac{π}{6})

ln (cosh (b)) - ln (cosh (a))

ln ((x^{3} + 2) (x^{2} + 3))

lo g_{4} (2) + 2 lo g_{4} (3)

What is log_{b}(x^2y^3z) ?
The solution to log_{b}(x^2y^3z) is 2log_{b}(x)+3log_{b}(y)+log_{b}(z)