What is log_{3}(20)-log_{3}(4) ?

The solution to log_{3}(20)-log_{3}(4) is log_{3}(5)

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simplify log_{3}(20)-log_{3}(4)

simplify

lo g_{3} (20) - lo g_{3} (4)

lo g_{3} (5)

Decimal Notation

1.46497 \dots

Solution steps

lo g_{3} (20) - lo g_{3} (4)

Apply log rule:

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

lo g_{3} (20) - lo g_{3} (4) = lo g_{3} (\frac{20}{4})

= lo g_{3} (\frac{20}{4})

Divide the numbers:

\frac{20}{4} = 5

= lo g_{3} (5)

ln (\frac{11}{16})

ln (\frac{3}{4}) - 1

ln (e^{3} \cdot (e^{2} - 1))

lo g_{b} (\frac{m}{n})

lo g_{2} (\frac{n}{4})

What is log_{3}(20)-log_{3}(4) ?
The solution to log_{3}(20)-log_{3}(4) is log_{3}(5)