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Popular >

simplify u(ln(u)-ln(x))

Solution

simplify

u (ln (u) - ln (x))

Solution

u ln (\frac{u}{x})

Solution steps

u (ln (u) - ln (x))

Apply log rule:

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

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

= u ln (\frac{u}{x})

Popular Examples

simplify log_{1.8}((8.13)/(6.09))+52.11-52.34 simplify

lo g_{1.8} (\frac{8.13}{6.09}) + 52.11 - 52.34

simplify 1/4 ln(x)-1/8 ln(x^2+4)simplify

\frac{1}{4} ln (x) - \frac{1}{8} ln (x^{2} + 4)

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

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

simplify ln(11/7)simplify

ln (\frac{11}{7})

simplify ln((sqrt(3))/2)+ln(1)simplify

ln (\frac{3}{2}) + ln (1)

Frequently Asked Questions (FAQ)

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