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Popular >

simplify ln|x|+ln|sin(x)|

Solution

simplify

ln ∣ x ∣ + ln ∣ sin (x) ∣

Solution

ln (∣ x ∣ ∣ sin (x) ∣)

Solution steps

ln ∣ x ∣ + ln ∣ sin (x) ∣

Apply log rule:

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

ln ∣ x ∣ + ln ∣ sin (x) ∣ = ln (∣ x ∣ ∣ sin (x) ∣)

= ln (∣ x ∣ ∣ sin (x) ∣)

Popular Examples

simplify log_{10}(6.5x10^7)-log_{10}(1000)simplify

lo g_{10} (6.5 x 1 0^{7}) - lo g_{10} (1000)

simplify 1/2 ln((e+sqrt(e^2-1))/(e-sqrt(e^2-1)))simplify

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

simplify 6*ln(3)-6*ln(2)simplify

6 \cdot ln (3) - 6 \cdot ln (2)

simplify (10000)/(200pi^2)(ln((400)/(0.4))+ln(8))simplify

\frac{10000}{200 π ^{2}} (ln (\frac{400}{0.4}) + ln (8))

simplify 6ln(2(0+1))simplify

6 ln (2 (0 + 1))

Frequently Asked Questions (FAQ)

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