What is ln((z+sqrt(r^2+z^2))/(-z+sqrt(r^2+z^2))) ?

The solution to ln((z+sqrt(r^2+z^2))/(-z+sqrt(r^2+z^2))) is ln(z+sqrt(r^2+z^2))-ln(-z+sqrt(r^2+z^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((z+sqrt(r^2+z^2))/(-z+sqrt(r^2+z^2)))

simplify

ln (\frac{z + r ^{2} + z ^{2}}{- z + r ^{2} + z ^{2}})

ln (z + r^{2} + z^{2}) - ln (- z + r^{2} + z^{2})

Solution steps

ln (\frac{z + r ^{2} + z ^{2}}{- z + r ^{2} + z ^{2}})

Apply log rule:

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

ln (\frac{z + r ^{2} + z ^{2}}{- z + r ^{2} + z ^{2}}) = ln (z + r^{2} + z^{2}) - ln (- z + r^{2} + z^{2})

= ln (z + z^{2} + r^{2}) - ln (- z + z^{2} + r^{2})

6 ln (4 x)

- ln (\frac{1}{10})

ln (x) - ln (x - 4) - \frac{1}{2} ln (x + 1)

lo g_{x} (\frac{a y ^{4}}{z ^{4}})

ln (\frac{e}{y ^{3}})

What is ln((z+sqrt(r^2+z^2))/(-z+sqrt(r^2+z^2))) ?
The solution to ln((z+sqrt(r^2+z^2))/(-z+sqrt(r^2+z^2))) is ln(z+sqrt(r^2+z^2))-ln(-z+sqrt(r^2+z^2))