The sum of the roots of the equation

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

Problem

The sum of the roots of the equation x+1−2log⁡2(3+2x)+2log⁡4(10−2−x)=0x + 1 - 2\log_2 (3 + 2^x) + 2\log_4 (10 - 2^{-x}) = 0 , is: (A) log⁡214\log_2 14 (B) log⁡211\log_2 11 (C) log⁡212\log_2 12 (D) log⁡213\log_2 13

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