1.Let S={a : log2(92a−4+1)−log2(32a−4+1)=2}S = \{a \, : \, \log_2(9^{2a-4}+1) - \log_2(3^{2a-4}+1) = 2\}S={a:log2(92a−4+1)−log2(32a−4+1)=2}. Then the maximum value of β\betaβ for which the equationx2−2(∑a∈Sa)x+∑a∈S(a+1)2 2β=0x^2 - 2\left(\sum_{a \in S} a\right) x + \sum_{a \in S} (a+1)^2 \, 2^{\beta} = 0x2−2(a∈S∑a)x+a∈S∑(a+1)22β=0has real roots, isa.101010b.999c.121212d.444Login to continueOnly logged in users canattempt or see the solution.
