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Popular >

simplify ln(y/x)-y/x

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify-2log_{e}(3/2)simplify

- 2 lo g_{e} (\frac{3}{2})

join 1/2 ln(1+sqrt(2))join

\frac{1}{2} ln (1 + 2)

simplify ln(1/(1-20))simplify

ln (\frac{1}{1 - 20})

simplify ln(x^2sqrt(x-1))simplify

ln (x^{2} x - 1)

expand log_{12}(n/(19))expand

lo g_{12} (\frac{n}{19})

Frequently Asked Questions (FAQ)

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