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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

y (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})

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

Popular Examples

simplify 3log_{9}(2)-2log_{9}(5)simplify

3 lo g_{9} (2) - 2 lo g_{9} (5)

simplify 4log_{2}(x)-1/3 log_{2}(x^2+1)simplify

4 lo g_{2} (x) - \frac{1}{3} lo g_{2} (x^{2} + 1)

simplify ln(5/7)simplify

ln (\frac{5}{7})

simplify 4log_{8}(12)-4log_{8}(4)simplify

4 lo g_{8} (12) - 4 lo g_{8} (4)

simplify-3/7 log_{2}(3/7)-4/7 log_{2}(4/7)simplify

- \frac{3}{7} lo g_{2} (\frac{3}{7}) - \frac{4}{7} lo g_{2} (\frac{4}{7})

Frequently Asked Questions (FAQ)

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