What is log_{3}(6)-log_{3}(4) ?

The solution to log_{3}(6)-log_{3}(4) is log_{3}(3/2)

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simplify log_{3}(6)-log_{3}(4)

simplify

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

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

Decimal Notation

0.36907 \dots

Solution steps

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

Apply log rule:

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

lo g_{3} (6) - lo g_{3} (4) = lo g_{3} (\frac{6}{4})

= lo g_{3} (\frac{6}{4})

Cancel

\frac{6}{4} : \frac{3}{2}

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

lo g_{10} (\frac{6}{x})

lo g_{3} (7 x)

ln (x + 3) + 2 ln (x)

ln (\frac{x - 2}{2})

What is log_{3}(6)-log_{3}(4) ?
The solution to log_{3}(6)-log_{3}(4) is log_{3}(3/2)