What is ln((s^2+a^2)/(s^2+b^2)) ?

The solution to ln((s^2+a^2)/(s^2+b^2)) is ln(s^2+a^2)-ln(s^2+b^2)

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simplify ln((s^2+a^2)/(s^2+b^2))

simplify

ln (\frac{s ^{2} + a ^{2}}{s ^{2} + b ^{2}})

ln (s^{2} + a^{2}) - ln (s^{2} + b^{2})

Solution steps

ln (\frac{s ^{2} + a ^{2}}{s ^{2} + b ^{2}})

Apply log rule:

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

ln (\frac{s ^{2} + a ^{2}}{s ^{2} + b ^{2}}) = ln (s^{2} + a^{2}) - ln (s^{2} + b^{2})

= ln (s^{2} + a^{2}) - ln (s^{2} + b^{2})

lo g_{3} (x) + 2 lo g_{3} ((x + 1)^{2}) - lo g_{3} (81)

ln (\frac{( x ^{4} y )}{3 z ^{5}})

ln (sin (x) [\frac{π}{4} \frac{3 π}{4}])

- lo g_{10} (5.63408 \cdot 1 0^{- 6})

lo g_{b} (\frac{A}{b})

What is ln((s^2+a^2)/(s^2+b^2)) ?
The solution to ln((s^2+a^2)/(s^2+b^2)) is ln(s^2+a^2)-ln(s^2+b^2)