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Popular >

simplify x(ln(x)-ln(y))

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify ln(x/2)-ln(x)simplify

ln (\frac{x}{2}) - ln (x)

simplify 2log_{10}(a)-log_{10}(b)simplify

2 lo g_{10} (a) - lo g_{10} (b)

simplify log_{10}((11x^3)/4)simplify

lo g_{10} (\frac{11 x ^{3}}{4})

simplify ln(sin(θ))-ln((sin(θ))/6)simplify

ln (sin (θ)) - ln (\frac{sin ( θ )}{6})

simplify log_{10}(x)-3log_{10}(y)-2log_{10}(z)simplify

lo g_{10} (x) - 3 lo g_{10} (y) - 2 lo g_{10} (z)

Frequently Asked Questions (FAQ)

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