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UP TGT Mathematics Algebra Test Series - Part 3

If x^(log_10(x)) = 100x, find the sum of all possible values of x.

Type: MCQ • Marks: 1
If x^(log_10(x)) = 100x, find the sum of all possible values of x.
Options
A. 100
B. 100.1
C. 101
D. 11
Explanation
Take log_10: (log_10 x)^2 - log_10 x - 2 = 0 => log_10 x = 2 or -1 => x = 100 or 0.1. Sum = 100.1.
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