What is log_{3}(2)-log_{3}(11) ?

The solution to log_{3}(2)-log_{3}(11) is log_{3}(2/11)

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simplify log_{3}(2)-log_{3}(11)

simplify

lo g_{3} (2) - lo g_{3} (11)

lo g_{3} (\frac{2}{11})

Decimal Notation

- 1.55172 \dots

Solution steps

lo g_{3} (2) - lo g_{3} (11)

Apply log rule:

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

lo g_{3} (2) - lo g_{3} (11) = lo g_{3} (\frac{2}{11})

= lo g_{3} (\frac{2}{11})

lo g_{2} (x \cdot y \cdot z^{3})

- \frac{1}{3} lo g_{10} (\frac{1}{3}) - \frac{2}{3} lo g_{10} (\frac{2}{3})

lo g_{2} (225) - lo g_{2} (5) + lo g_{2} (3)

lo g_{3} (x^{2}) + lo g_{3} (25)

3 lo g_{10} (7 x) - 4 lo g_{10} (7 y)

What is log_{3}(2)-log_{3}(11) ?
The solution to log_{3}(2)-log_{3}(11) is log_{3}(2/11)