What is log_{3}(2)-log_{3}(7) ?

The solution to log_{3}(2)-log_{3}(7) is log_{3}(2/7)

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simplify log_{3}(2)-log_{3}(7)

simplify

lo g_{3} (2) - lo g_{3} (7)

lo g_{3} (\frac{2}{7})

Decimal Notation

- 1.14031 \dots

Solution steps

lo g_{3} (2) - lo g_{3} (7)

Apply log rule:

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

lo g_{3} (2) - lo g_{3} (7) = lo g_{3} (\frac{2}{7})

= lo g_{3} (\frac{2}{7})

lo g_{10} (\frac{a ^{4}}{b ^{2} c ^{3}})

lo g_{9} (\frac{y}{81})

lo g_{7} (\frac{g}{49})

(\frac{2}{3}) lo g_{10} (\frac{E}{0.7})

ln (5) + ln (x) + ln (y)

What is log_{3}(2)-log_{3}(7) ?
The solution to log_{3}(2)-log_{3}(7) is log_{3}(2/7)