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

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

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simplify log_{c}(x^2y^2z)

simplify

lo g_{c} (x^{2} y^{2} z)

2 lo g_{c} (x) + 2 lo g_{c} (y) + lo g_{c} (z)

Solution steps

lo g_{c} (x^{2} y^{2} z)

Apply log rule:

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

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

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

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

lo g_{c} (y^{2}) = 2 lo g_{c} (y)

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

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

lo g_{4} (\frac{x ^{2}}{yz})

ln (a \cdot b^{x})

ln (\frac{4}{1.213})

\frac{1}{2} lo g_{b} (x) + 3 lo g_{b} (y) - 5 lo g_{b} (x)

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