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Popular >

simplify log_{3}(13)-log_{3}(39)

Solution

simplify

lo g_{3} (13) - lo g_{3} (39)

Solution

- 1

Solution steps

lo g_{3} (13) - lo g_{3} (39)

Apply log rule:

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

lo g_{3} (13) - lo g_{3} (39) = lo g_{3} (\frac{13}{39})

= lo g_{3} (\frac{13}{39})

\frac{13}{39} = 3^{- 1}

= lo g_{3} (3^{- 1})

Apply log rule:

lo g_{a} (a^{b}) = b

= - 1

Popular Examples

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3 - 2.7 (8 - x) = 16.5

simplify (3a)^{-2}simplify

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expand (x^{3/2}+4)^2 expand

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Frequently Asked Questions (FAQ)

What is log_{3}(13)-log_{3}(39) ?
The solution to log_{3}(13)-log_{3}(39) is -1