Logarithms' challenger #2

Algebra Level 2

Find the value of:\text{Find the value of:}loga(112)+loga(113)+loga(114)...+loga(11n)\log_ {a}{\left(1-\frac{1}{2}\right)}+\log_ {a}{\left(1-\frac{1}{3}\right)}+\log_ {a}{\left(1-\frac{1}{4}\right)}...+\log_ {a}{\left(1-\frac{1}{n}\right)}


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