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## Homework Statement

For x>1, find the minimum possible value of [tex]2 log_{2}x-log_{x}(0.01)[/tex]

## The Attempt at a Solution

Greater the value of x, greater is the value of expression. Right?

I tried to differentiate it, but it was no help. The derivative becomes zero when |log x|=[tex]\sqrt{log 2}[/tex]

Help me further.