JEE Main 202116 Mar, Evening shiftMathematicsMediumSequence and Series179× since 2002
S_n(x) = loga1/2x + loga1/3x + loga1/6x + loga1/11x + loga1/18x + loga1/27x + ...... up to n-terms, where a > 1. If S₂₄(x) = 1093 and S₁₂(2x) = 265, then value of a is equal to ____________.