What is log_{c}((x^6)/(sqrt(w)))+log_{c}(z^2) ?

The solution to log_{c}((x^6)/(sqrt(w)))+log_{c}(z^2) is log_{c}((x^6z^2)/(sqrt(w)))

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simplify log_{c}((x^6)/(sqrt(w)))+log_{c}(z^2)

simplify

lo g_{c} (\frac{x ^{6}}{w}) + lo g_{c} (z^{2})

lo g_{c} (\frac{x ^{6} z ^{2}}{w})

Solution steps

lo g_{c} (\frac{x ^{6}}{w}) + lo g_{c} (z^{2})

Apply log rule:

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

lo g_{c} (\frac{x ^{6}}{w}) + lo g_{c} (z^{2}) = lo g_{c} (\frac{x ^{6}}{w} z^{2})

= lo g_{c} (\frac{x ^{6}}{w} z^{2})

Simplify

\frac{x ^{6}}{w} z^{2} : \frac{x ^{6} z ^{2}}{w}

= lo g_{c} (\frac{x ^{6} z ^{2}}{w})

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

lo g_{10} (\frac{11 a}{4})

lo g_{x} (\frac{1}{2})

What is log_{c}((x^6)/(sqrt(w)))+log_{c}(z^2) ?
The solution to log_{c}((x^6)/(sqrt(w)))+log_{c}(z^2) is log_{c}((x^6z^2)/(sqrt(w)))