What is ln((1+x^{11})/(1+x^3)) ?

The solution to ln((1+x^{11})/(1+x^3)) is ln(1+x^{11})-ln(1+x^3)

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simplify ln((1+x^{11})/(1+x^3))

simplify

ln (\frac{1 + x ^{11}}{1 + x ^{3}})

ln (1 + x^{11}) - ln (1 + x^{3})

Solution steps

ln (\frac{1 + x ^{11}}{1 + x ^{3}})

Apply log rule:

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

ln (\frac{1 + x ^{11}}{1 + x ^{3}}) = ln (1 + x^{11}) - ln (1 + x^{3})

= ln (x^{11} + 1) - ln (x^{3} + 1)

6.1 + lo g_{10} (\frac{14}{11.2})

ln (5.67 \cdot 1 0^{- 8})

ln (\frac{7 x}{x ^{2} - 225})

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

ln (d - L) - ln (d)

What is ln((1+x^{11})/(1+x^3)) ?
The solution to ln((1+x^{11})/(1+x^3)) is ln(1+x^{11})-ln(1+x^3)