What is log_{3}(6)-log_{3}(13) ?

The solution to log_{3}(6)-log_{3}(13) is 1+log_{3}(2/13)

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simplify log_{3}(6)-log_{3}(13)

simplify

lo g_{3} (6) - lo g_{3} (13)

1 + lo g_{3} (\frac{2}{13})

Decimal Notation

- 0.70378 \dots

Solution steps

lo g_{3} (6) - lo g_{3} (13)

lo g_{3} (6) = 1 + lo g_{3} (2)

= 1 + lo g_{3} (2) - lo g_{3} (13)

Apply log rule:

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

lo g_{3} (2) - lo g_{3} (13) = lo g_{3} (\frac{2}{13})

= 1 + lo g_{3} (\frac{2}{13})

3 ln (\frac{3}{13})

ln (\frac{[ 0.2 ] ^{1}}{[ 0.1 ] ^{2}})

lo g_{10} (\frac{10000}{y})

lo g_{2} (3) + lo g_{2} (6) - lo g_{2} (4)

What is log_{3}(6)-log_{3}(13) ?
The solution to log_{3}(6)-log_{3}(13) is 1+log_{3}(2/13)