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Proven Potential TMUA Sample Paper 1 · Q9

Paper 1Powers & logarithms

You are given that

S=1+log⁡313+log⁡319+log⁡3127+⋯+log⁡313n−1+log⁡313n.S=1+\log_3\frac13+\log_3\frac19+\log_3\frac1{27}+\cdots+\log_3\frac1{3^{n-1}}+\log_3\frac1{3^n}.

If S=−2S=-2, what is the value of nn?

A33
B−3-3
C22
D66
ENo solutions

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