What is ln((xy)/(x^2+y^2)) ?

The solution to ln((xy)/(x^2+y^2)) is ln(x)+ln(y)-ln(x^2+y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((xy)/(x^2+y^2))

simplify

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

ln (x) + ln (y) - ln (x^{2} + y^{2})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (x + 6) - ln (x - 4)

ln (\frac{( 3 x - 8 ) ^{2}}{5 x + 1})

2 lo g_{\frac{16}{3}} (6)

lo g_{10} (5 \cdot 1 0^{- 2})

ln (\frac{0.25}{9})

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