What is log_{4}(11)-log_{4}(9) ?

The solution to log_{4}(11)-log_{4}(9) is log_{4}(11/9)

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simplify log_{4}(11)-log_{4}(9)

simplify

lo g_{4} (11) - lo g_{4} (9)

lo g_{4} (\frac{11}{9})

Decimal Notation

0.14475 \dots

Solution steps

lo g_{4} (11) - lo g_{4} (9)

Apply log rule:

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

lo g_{4} (11) - lo g_{4} (9) = lo g_{4} (\frac{11}{9})

= lo g_{4} (\frac{11}{9})

4 ln (3 x) - ln (9 x)

lo g_{10} (z \cdot w x \cdot y)

4 lo g_{5} (x) - lo g_{5} (125)

ln (\frac{x ^{2} - 2}{x ^{2} + 4})

ln (\frac{13.1}{9.9})

What is log_{4}(11)-log_{4}(9) ?
The solution to log_{4}(11)-log_{4}(9) is log_{4}(11/9)