What is log_{2}(11)-log_{2}(9) ?

The solution to log_{2}(11)-log_{2}(9) is log_{2}(11/9)

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simplify log_{2}(11)-log_{2}(9)

simplify

lo g_{2} (11) - lo g_{2} (9)

lo g_{2} (\frac{11}{9})

Decimal Notation

0.28950 \dots

Solution steps

lo g_{2} (11) - lo g_{2} (9)

Apply log rule:

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

lo g_{2} (11) - lo g_{2} (9) = lo g_{2} (\frac{11}{9})

= lo g_{2} (\frac{11}{9})

lo g_{2} ((\frac{5}{4})^{x - 3})

lo g_{5} (\frac{a ^{2} b ^{2} x}{c ^{3}})

lo g_{10} (\frac{x y ^{2}}{z})

ln (y e^{x})

- lo g_{10} (4.5 \cdot 1 0^{- 4})

What is log_{2}(11)-log_{2}(9) ?
The solution to log_{2}(11)-log_{2}(9) is log_{2}(11/9)