When simplified has the value equal to

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

log⁡3(1+13)+log⁡3(1+14)+log⁡3(1+15)+⋯+log⁡3(1+1242)\log_3\left(1+\frac{1}{3}\right) + \log_3\left(1+\frac{1}{4}\right) + \log_3\left(1+\frac{1}{5}\right) + \dots + \log_3\left(1+\frac{1}{242}\right) when simplified has the value equal to (a) 1 (b) 3 (c) 4 (d) 5

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