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Popular >

simplify log_{3}(m/n)

Solution

simplify

lo g_{3} (\frac{m}{n})

Solution

lo g_{3} (m) - lo g_{3} (n)

Solution steps

lo g_{3} (\frac{m}{n})

Apply log rule:

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

lo g_{3} (\frac{m}{n}) = lo g_{3} (m) - lo g_{3} (n)

= lo g_{3} (m) - lo g_{3} (n)

Popular Examples

simplify log_{b}(ab)simplify

lo g_{b} (ab)

simplify log_{10}((x^5)/(z^3sqrt(y^2)))simplify

lo g_{10} (\frac{x ^{5}}{z ^{3} y ^{2}})

simplify 1/4 log_{2}(4)+3/4 log_{2}(4/3)simplify

\frac{1}{4} lo g_{2} (4) + \frac{3}{4} lo g_{2} (\frac{4}{3})

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lo g_{10} (8) - 2 lo g_{10} (2) + 4 lo g_{10} (x)

simplify log_{2}(8/(sqrt(x+2)))simplify

lo g_{2} (\frac{8}{x + 2})

Frequently Asked Questions (FAQ)

What is log_{3}(m/n) ?
The solution to log_{3}(m/n) is log_{3}(m)-log_{3}(n)