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Popular >

simplify ln|y|+ln|x|

Solution

simplify

ln ∣ y ∣ + ln ∣ x ∣

Solution

ln (∣ y ∣ ∣ x ∣)

Solution steps

ln ∣ y ∣ + ln ∣ x ∣

Apply log rule:

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

ln ∣ y ∣ + ln ∣ x ∣ = ln (∣ y ∣ ∣ x ∣)

= ln (∣ y ∣ ∣ x ∣)

Popular Examples

simplify 1/2 log_{10}(2)+1/2 log_{10}(5)simplify

\frac{1}{2} lo g_{10} (2) + \frac{1}{2} lo g_{10} (5)

simplify [2ln(3)-2ln(9)]-[2ln(2)-2ln(7)]simplify

[2 ln (3) - 2 ln (9)] - [2 ln (2) - 2 ln (7)]

simplify 5log_{10}(x)-15log_{10}(y)simplify

5 lo g_{10} (x) - 15 lo g_{10} (y)

expand log_{a}((2x)/(x-1))expand

lo g_{a} (\frac{2 x}{x - 1})

expand log_{10}(x^3)ylog_{10}(x)3y expand

lo g_{10} (x^{3}) y lo g_{10} (x) 3 y

Frequently Asked Questions (FAQ)

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