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

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

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

simplify

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

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

Decimal Notation

0.10155 \dots

Solution steps

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

Apply log rule:

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

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

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

3 ln (\frac{3}{2})

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

lo g_{3} (\frac{x}{9})

ln (\frac{1}{t})

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

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