What is log_{b}((sqrt(xy))/z) ?

The solution to log_{b}((sqrt(xy))/z) is log_{b}(sqrt(xy))-log_{b}(z)

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simplify log_{b}((sqrt(xy))/z)

simplify

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

lo g_{b} (x y) - lo g_{b} (z)

Solution steps

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

Apply log rule:

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

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

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

- 2 x - 4 (4 x - 8)

- \frac{7}{2} - 1

(3 x^{2} - 2 x + 1) + (- x^{2} + 3 x + 1)

\frac{1}{10} \cdot \frac{1}{8}

\frac{69}{2}

What is log_{b}((sqrt(xy))/z) ?
The solution to log_{b}((sqrt(xy))/z) is log_{b}(sqrt(xy))-log_{b}(z)