en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((sin(x))/(x^2))

Solution

simplify

ln (\frac{sin ( x )}{x ^{2}})

Solution

ln (sin (x)) - 2 ln (x)

Solution steps

ln (\frac{sin ( x )}{x ^{2}})

Apply log rule:

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

ln (\frac{sin ( x )}{x ^{2}}) = ln (sin (x)) - ln (x^{2})

= ln (sin (x)) - ln (x^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{2}) = 2 ln (x)

= ln (sin (x)) - 2 ln (x)

Popular Examples

simplify ln(sin(9)x^3)simplify

ln (sin (9) x^{3})

simplify ln(m^2e^{mx})simplify

ln (m^{2} e^{m x})

simplify log_{10}(18.4*10^{12})-6 simplify

lo g_{10} (18.4 \cdot 1 0^{12}) - 6

simplify ln((2t)/(t^4+2t+1))simplify

ln (\frac{2 t}{t ^{4} + 2 t + 1})

simplify ln(8)+5ln(x)+5ln(x^2+7)simplify

ln (8) + 5 ln (x) + 5 ln (x^{2} + 7)

Frequently Asked Questions (FAQ)

What is ln((sin(x))/(x^2)) ?
The solution to ln((sin(x))/(x^2)) is ln(sin(x))-2ln(x)