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Popular >

simplify ln|x|+ln|cos(y/x)|

Solution

simplify

ln ∣ x ∣ + ln cos (\frac{y}{x})

Solution

ln (∣ x ∣ cos (\frac{y}{x}))

Solution steps

ln ∣ x ∣ + ln cos (\frac{y}{x})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln ∣ x ∣ + ln cos (\frac{y}{x}) = ln (∣ x ∣ cos (\frac{y}{x}))

= ln (∣ x ∣ cos (\frac{y}{x}))

Popular Examples

simplify 1/6 ln|x^2+9|+1/6 ln|(x^2)/9+1|simplify

\frac{1}{6} ln x^{2} + 9 + \frac{1}{6} ln \frac{x ^{2}}{9} + 1

expand ln((x^4)/(y^5))expand

ln (\frac{x ^{4}}{y ^{5}})

expand log_{3}((a^5b)/(c^2))expand

lo g_{3} (\frac{a ^{5} b}{c ^{2}})

simplify 2ln(5)-2ln(3)simplify

2 ln (5) - 2 ln (3)

simplify log_{2}(x-4)+5log_{2}(x+1)-3log_{2}(x-1)simplify

lo g_{2} (x - 4) + 5 lo g_{2} (x + 1) - 3 lo g_{2} (x - 1)

Frequently Asked Questions (FAQ)

What is ln|x|+ln|cos(y/x)| ?
The solution to ln|x|+ln|cos(y/x)| is ln(|x||cos(y/x)|)