What is ln((s^2+25)/(s^2+81)) ?

The solution to ln((s^2+25)/(s^2+81)) is ln(s^2+25)-ln(s^2+81)

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simplify ln((s^2+25)/(s^2+81))

simplify

ln (\frac{s ^{2} + 25}{s ^{2} + 81})

ln (s^{2} + 25) - ln (s^{2} + 81)

Solution steps

ln (\frac{s ^{2} + 25}{s ^{2} + 81})

Apply log rule:

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

ln (\frac{s ^{2} + 25}{s ^{2} + 81}) = ln (s^{2} + 25) - ln (s^{2} + 81)

= ln (s^{2} + 25) - ln (s^{2} + 81)

lo g_{a} (\frac{50}{9})

lo g_{10} (\frac{z ^{3}}{x})

2 ln (6) - ln (3)

ln (\frac{2}{7} t^{3})

lo g_{10} (\frac{z ^{3}}{y})

What is ln((s^2+25)/(s^2+81)) ?
The solution to ln((s^2+25)/(s^2+81)) is ln(s^2+25)-ln(s^2+81)