What is log_{b}((x^3y)/(z^5)) ?

The solution to log_{b}((x^3y)/(z^5)) is 3log_{b}(x)+log_{b}(y)-5log_{b}(z)

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simplify log_{b}((x^3y)/(z^5))

simplify

lo g_{b} (\frac{x ^{3} y}{z ^{5}})

3 lo g_{b} (x) + lo g_{b} (y) - 5 lo g_{b} (z)

Solution steps

lo g_{b} (\frac{x ^{3} y}{z ^{5}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{b} (\frac{x ^{3} y}{z ^{5}}) = lo g_{b} (x^{3} y) - lo g_{b} (z^{5})

= lo g_{b} (x^{3} y) - lo g_{b} (z^{5})

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

lo g_{b} (z^{5}) = 5 lo g_{b} (z)

= 3 lo g_{b} (x) + lo g_{b} (y) - 5 lo g_{b} (z)

(- \frac{1}{2})^{6}

2 (x - 4) = 7 - 3 x

\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{11}{50} \cdot \frac{10}{49}

\frac{x - 7}{4} + \frac{x - 1}{3} = x - 5

\frac{7}{12} = \frac{7}{9} m

What is log_{b}((x^3y)/(z^5)) ?
The solution to log_{b}((x^3y)/(z^5)) is 3log_{b}(x)+log_{b}(y)-5log_{b}(z)