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Popular >

simplify ln| y/x |-y/x+ln|x|

Solution

simplify

ln \frac{y}{x} - \frac{y}{x} + ln ∣ x ∣

Solution

ln ∣ y ∣ - \frac{y}{x}

Solution steps

ln \frac{y}{x} - \frac{y}{x} + ln ∣ x ∣

Apply log rule:

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

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

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

Simplify

\frac{y}{x} ∣ x ∣ : ∣ y ∣

= ln ∣ y ∣ - \frac{y}{x}

Popular Examples

simplify ln((45.5)/(6.26))simplify

ln (\frac{45.5}{6.26})

simplify ln(2000/70)simplify

ln (\frac{2000}{70})

join-1/2 ln^2(2)join

- \frac{1}{2} ln^{2} (2)

simplify log_{10}(([0.73])/([0.39]))+9.252 simplify

lo g_{10} (\frac{[ 0.73 ]}{[ 0.39 ]}) + 9.252

simplify 10log_{10}((8*10^{-4})/(1*10^{-12)})simplify

10 lo g_{10} (\frac{8 \cdot 1 0 ^{- 4}}{1 \cdot 1 0 ^{- 12}})

Frequently Asked Questions (FAQ)

What is ln| y/x |-y/x+ln|x| ?
The solution to ln| y/x |-y/x+ln|x| is ln|y|-y/x