What is log_{3}(10)-log_{3}(5) ?

The solution to log_{3}(10)-log_{3}(5) is log_{3}(2)

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simplify log_{3}(10)-log_{3}(5)

simplify

lo g_{3} (10) - lo g_{3} (5)

lo g_{3} (2)

Decimal Notation

0.63092 \dots

Solution steps

lo g_{3} (10) - lo g_{3} (5)

Apply log rule:

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

lo g_{3} (10) - lo g_{3} (5) = lo g_{3} (\frac{10}{5})

= lo g_{3} (\frac{10}{5})

Divide the numbers:

\frac{10}{5} = 2

= lo g_{3} (2)

lo g_{9} (z) + \frac{1}{2} lo g_{9} (x) + \frac{1}{2} lo g_{9} (y)

ln (6.5 \cdot 1 0^{- 17})

ln (\frac{( 1 + x )}{1 - x})

ln (3) + 7 ln (x) - 2 ln (y)

lo g_{5} (\frac{4 a b ^{3} c ^{4}}{d ^{2}})

What is log_{3}(10)-log_{3}(5) ?
The solution to log_{3}(10)-log_{3}(5) is log_{3}(2)