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Popular >

simplify log_{a}(m/n)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify log_{10}(x)+log_{10}(x^2y)+3log_{10}(y)simplify

lo g_{10} (x) + lo g_{10} (x^{2} y) + 3 lo g_{10} (y)

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

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

simplify ln(xsin(x))simplify

ln (x sin (x))

simplify 20log_{6}(u)+5log_{6}(v)simplify

20 lo g_{6} (u) + 5 lo g_{6} (v)

simplify ln(8)+ln(x)+ln(y)simplify

ln (8) + ln (x) + ln (y)

Frequently Asked Questions (FAQ)

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