What is log_{5}(3)-log_{5}(4) ?

The solution to log_{5}(3)-log_{5}(4) is log_{5}(3/4)

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simplify log_{5}(3)-log_{5}(4)

simplify

lo g_{5} (3) - lo g_{5} (4)

lo g_{5} (\frac{3}{4})

Decimal Notation

- 0.17874 \dots

Solution steps

lo g_{5} (3) - lo g_{5} (4)

Apply log rule:

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

lo g_{5} (3) - lo g_{5} (4) = lo g_{5} (\frac{3}{4})

= lo g_{5} (\frac{3}{4})

ln (y) - 2 ln (x)

ln (\frac{e ^{2}}{4})

lo g_{a} (\frac{x ^{3}}{y z ^{4}})

ln (x^{14} \frac{y ^{17}}{z ^{13}})

ln (\frac{e ^{3}}{15})

What is log_{5}(3)-log_{5}(4) ?
The solution to log_{5}(3)-log_{5}(4) is log_{5}(3/4)