What is log_{8}((sqrt(xy))/3) ?

The solution to log_{8}((sqrt(xy))/3) is log_{8}(sqrt(xy))-log_{8}(3)

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simplify log_{8}((sqrt(xy))/3)

simplify

lo g_{8} (\frac{x y}{3})

lo g_{8} (x y) - lo g_{8} (3)

Solution steps

lo g_{8} (\frac{x y}{3})

Apply log rule:

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

lo g_{8} (\frac{x y}{3}) = lo g_{8} (x y) - lo g_{8} (3)

= lo g_{8} (x y) - lo g_{8} (3)

- \frac{5}{14} lo g_{2} (\frac{5}{14}) - \frac{9}{14} lo g_{2} (\frac{9}{14})

lo g_{10} (\frac{g}{f})

lo g_{11} (\frac{m}{n})

lo g_{10} (4) + 2 lo g_{10} (3) - lo g_{10} (6)

lo g_{b} (x^{2} y^{9} z)

What is log_{8}((sqrt(xy))/3) ?
The solution to log_{8}((sqrt(xy))/3) is log_{8}(sqrt(xy))-log_{8}(3)