What is log_{x}(a)-log_{x}(b) ?

The solution to log_{x}(a)-log_{x}(b) is log_{x}(a/b)

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simplify log_{x}(a)-log_{x}(b)

simplify

lo g_{x} (a) - lo g_{x} (b)

lo g_{x} (\frac{a}{b})

Solution steps

lo g_{x} (a) - lo g_{x} (b)

Apply log rule:

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

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

= lo g_{x} (\frac{a}{b})

ln (\frac{r}{9 s})

ln (\frac{x ^{5}}{y ^{2}})

1 - lo g_{2} (\frac{k - 1}{k})

ln (\frac{1}{v})

What is log_{x}(a)-log_{x}(b) ?
The solution to log_{x}(a)-log_{x}(b) is log_{x}(a/b)