What is log_{3}(5)-log_{3}(8) ?

The solution to log_{3}(5)-log_{3}(8) is log_{3}(5/8)

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simplify log_{3}(5)-log_{3}(8)

simplify

lo g_{3} (5) - lo g_{3} (8)

lo g_{3} (\frac{5}{8})

Decimal Notation

- 0.42781 \dots

Solution steps

lo g_{3} (5) - lo g_{3} (8)

Apply log rule:

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

lo g_{3} (5) - lo g_{3} (8) = lo g_{3} (\frac{5}{8})

= lo g_{3} (\frac{5}{8})

lo g_{4} (\frac{16}{x ^{4}})

lo g_{b} (x^{2} + 1) - \frac{1}{2} lo g_{b} (x^{2} + 2)

- (\frac{6}{7}) lo g_{2} (\frac{6}{7}) - (\frac{1}{7}) lo g_{2} (\frac{1}{7})

- lo g_{10} (3.2 \times 1 0^{- 4})

ln (\frac{0.1}{0.4})

What is log_{3}(5)-log_{3}(8) ?
The solution to log_{3}(5)-log_{3}(8) is log_{3}(5/8)