What is log_{5}(8)-log_{5}(3) ?

The solution to log_{5}(8)-log_{5}(3) is log_{5}(8/3)

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simplify log_{5}(8)-log_{5}(3)

simplify

lo g_{5} (8) - lo g_{5} (3)

lo g_{5} (\frac{8}{3})

Decimal Notation

0.60942 \dots

Solution steps

lo g_{5} (8) - lo g_{5} (3)

Apply log rule:

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

lo g_{5} (8) - lo g_{5} (3) = lo g_{5} (\frac{8}{3})

= lo g_{5} (\frac{8}{3})

lo g_{3} (28) - lo g_{3} (7)

ln (\frac{x y ^{2}}{e ^{3} z ^{4}})

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

- lo g_{10} (2) - lo g_{10} (3)

ln (3 x) - ln (x)

What is log_{5}(8)-log_{5}(3) ?
The solution to log_{5}(8)-log_{5}(3) is log_{5}(8/3)