What is ln((sqrt(x^2+y^2)*2+arctan(y/x))/2) ?

The solution to ln((sqrt(x^2+y^2)*2+arctan(y/x))/2) is ln(sqrt(x^2+y^2)*2+arctan(y/x))-ln(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((sqrt(x^2+y^2)*2+arctan(y/x))/2)

simplify

ln (\frac{x ^{2} + y ^{2} \cdot 2 + arctan ( \frac{y}{x} )}{2})

ln (x^{2} + y^{2} \cdot 2 + arctan (\frac{y}{x})) - ln (2)

Solution steps

ln (\frac{x ^{2} + y ^{2} \cdot 2 + arctan ( \frac{y}{x} )}{2})

Apply log rule:

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

ln (\frac{x ^{2} + y ^{2} \cdot 2 + arctan ( \frac{y}{x} )}{2}) = ln (x^{2} + y^{2} \cdot 2 + arctan (\frac{y}{x})) - ln (2)

= ln (arctan (\frac{y}{x}) + 2 x^{2} + y^{2}) - ln (2)

- ln (x) - ln (4 x)

ln ((x^{2} - 2 x - 24) (x^{2} - 3 x))

ln (3 x^{2} - 3) - ln (x^{2})

lo g_{z} (\frac{x}{9})

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

What is ln((sqrt(x^2+y^2)*2+arctan(y/x))/2) ?
The solution to ln((sqrt(x^2+y^2)*2+arctan(y/x))/2) is ln(sqrt(x^2+y^2)*2+arctan(y/x))-ln(2)