What is log_{b}(x^7y^3z) ?

The solution to log_{b}(x^7y^3z) is 7log_{b}(x)+3log_{b}(y)+log_{b}(z)

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simplify log_{b}(x^7y^3z)

simplify

lo g_{b} (x^{7} y^{3} z)

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

Solution steps

lo g_{b} (x^{7} y^{3} z)

Apply log rule:

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

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

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

lo g_{b} (x^{7}) = 7 lo g_{b} (x)

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

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

- 2 ln ∣ 4 - 1 ∣ + 3 ln ∣ 4 - 2 ∣ + ln 4^{2} + 1 + 2 - ln (\frac{5}{2})

lo g_{2} (5) + lo g_{2} (x^{3})

lo g_{5} (\frac{x ^{11}}{x - 7})

3 e (x y^{3}) - 5 ln (x cos (y))

ln (x (x + 1))

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