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Popular >

simplify ln(x/(y-x))

Solution

simplify

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

Solution

ln (x) - ln (y - x)

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify ln(x/s)simplify

ln (\frac{x}{s})

simplify 1/3 ln(x-3)+1/3 ln(x^2+9)simplify

\frac{1}{3} ln (x - 3) + \frac{1}{3} ln (x^{2} + 9)

simplify 1/5 ln(5|ln(x)|)+C simplify

\frac{1}{5} ln (5 ∣ ln (x) ∣) + C

simplify 2ln(3)-ln(5)-16/45 simplify

2 ln (3) - ln (5) - \frac{16}{45}

simplify 1/6*log_{2}(1/6)+5/6*log_{2}(5/6)simplify

\frac{1}{6} \cdot lo g_{2} (\frac{1}{6}) + \frac{5}{6} \cdot lo g_{2} (\frac{5}{6})

Frequently Asked Questions (FAQ)

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