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Popular >

simplify ln(y/a)

Solution

simplify

ln (\frac{y}{a})

Solution

ln (y) - ln (a)

Solution steps

ln (\frac{y}{a})

Apply log rule:

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

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

= ln (y) - ln (a)

Popular Examples

simplify ln((100000-20)/(20(50000)))simplify

ln (\frac{100000 - 20}{20 ( 50000 )})

simplify log_{2}(39xy^2)-log_{3}(27xy)simplify

lo g_{2} (39 x y^{2}) - lo g_{3} (27 x y)

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

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

simplify (ln^2(10)-ln^2(2)-ln^2(5))/2 simplify

\frac{ln ^{2} ( 10 ) - ln ^{2} ( 2 ) - ln ^{2} ( 5 )}{2}

simplify ln(x^{1/3}y^{1/2})simplify

ln (x^{\frac{1}{3}} y^{\frac{1}{2}})

Frequently Asked Questions (FAQ)

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