What is ln(9+s^2)-ln(25+s^2) ?

The solution to ln(9+s^2)-ln(25+s^2) is ln((9+s^2)/(25+s^2))

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simplify ln(9+s^2)-ln(25+s^2)

simplify

ln (9 + s^{2}) - ln (25 + s^{2})

ln (\frac{9 + s ^{2}}{25 + s ^{2}})

Solution steps

ln (9 + s^{2}) - ln (25 + s^{2})

Apply log rule:

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

ln (9 + s^{2}) - ln (25 + s^{2}) = ln (\frac{s ^{2} + 9}{s ^{2} + 25})

= ln (\frac{9 + s ^{2}}{25 + s ^{2}})

lo g_{10} (4 a^{5} b^{4})

ln (\frac{154}{234})

ln (\frac{x ^{P} e ^{- y}}{z})

2 lo g_{10} (ab)

lo g_{3} (8) - lo g_{3} (7)

What is ln(9+s^2)-ln(25+s^2) ?
The solution to ln(9+s^2)-ln(25+s^2) is ln((9+s^2)/(25+s^2))