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Popular >

simplify 3ln(x/y)

Solution

simplify

3 ln (\frac{x}{y})

Solution

3 (ln (x) - ln (y))

Solution steps

3 ln (\frac{x}{y})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x}{y}) = ln (x) - ln (y)

= 3 (ln (x) - ln (y))

Popular Examples

simplify 3ln(2)-ln(3)simplify

3 ln (2) - ln (3)

simplify 14.77+10*log_{10}((179.68)/(1.905))simplify

14.77 + 10 \cdot lo g_{10} (\frac{179.68}{1.905})

simplify-log_{10}(7.2*10^{-6})simplify

- lo g_{10} (7.2 \cdot 1 0^{- 6})

simplify 4.3279+log_{10}((0.47)/(0.29))simplify

4.3279 + lo g_{10} (\frac{0.47}{0.29})

simplify 20log_{10}((4pi)/(299000))simplify

20 lo g_{10} (\frac{4 π}{299000})

Frequently Asked Questions (FAQ)

What is 3ln(x/y) ?
The solution to 3ln(x/y) is 3(ln(x)-ln(y))