What is ln(11/2)+1+1/((11/2)^2) ?

The solution to ln(11/2)+1+1/((11/2)^2) is ln(11)-ln(2)+125/121

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simplify ln(11/2)+1+1/((11/2)^2)

simplify

ln (\frac{11}{2}) + 1 + \frac{1}{( \frac{11}{2} ) ^{2}}

ln (11) - ln (2) + \frac{125}{121}

Decimal Notation

2.73780 \dots

Solution steps

ln (\frac{11}{2}) + 1 + \frac{1}{( \frac{11}{2} ) ^{2}}

Apply log rule:

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

ln (\frac{11}{2}) = ln (11) - ln (2)

= ln (11) - ln (2) + 1 + \frac{1}{( \frac{11}{2} ) ^{2}}

\frac{1}{( \frac{11}{2} ) ^{2}} = \frac{2 ^{2}}{1 1 ^{2}}

= ln (11) - ln (2) + 1 + \frac{2 ^{2}}{1 1 ^{2}}

\frac{2 ^{2}}{1 1 ^{2}} = \frac{4}{121}

= ln (11) - ln (2) + 1 + \frac{4}{121}

Combine the fractions

1 + \frac{4}{121} : \frac{125}{121}

= ln (11) - ln (2) + \frac{125}{121}

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What is ln(11/2)+1+1/((11/2)^2) ?
The solution to ln(11/2)+1+1/((11/2)^2) is ln(11)-ln(2)+125/121