What is log_{3}(2)-log_{3}(x) ?

The solution to log_{3}(2)-log_{3}(x) is log_{3}(2/x)

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simplify log_{3}(2)-log_{3}(x)

simplify

lo g_{3} (2) - lo g_{3} (x)

lo g_{3} (\frac{2}{x})

Solution steps

lo g_{3} (2) - lo g_{3} (x)

Apply log rule:

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

lo g_{3} (2) - lo g_{3} (x) = lo g_{3} (\frac{2}{x})

= lo g_{3} (\frac{2}{x})

ln (\frac{7}{9 x ^{9} y})

ln (\frac{36 5}{25})

lo g_{8} ((\frac{u ^{3}}{v})^{2})

ln (\frac{x}{e ^{4 x}})

ln (\frac{e ^{8}}{15})

What is log_{3}(2)-log_{3}(x) ?
The solution to log_{3}(2)-log_{3}(x) is log_{3}(2/x)