What is log_{5}(4)-log_{5}(9) ?

The solution to log_{5}(4)-log_{5}(9) is log_{5}(4/9)

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simplify log_{5}(4)-log_{5}(9)

simplify

lo g_{5} (4) - lo g_{5} (9)

lo g_{5} (\frac{4}{9})

Decimal Notation

- 0.50385 \dots

Solution steps

lo g_{5} (4) - lo g_{5} (9)

Apply log rule:

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

lo g_{5} (4) - lo g_{5} (9) = lo g_{5} (\frac{4}{9})

= lo g_{5} (\frac{4}{9})

lo g_{m} (\frac{67}{83})

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

lo g_{2} (8 x)

lo g_{10} (10000 y)

What is log_{5}(4)-log_{5}(9) ?
The solution to log_{5}(4)-log_{5}(9) is log_{5}(4/9)