Quadratic EquationMedium
Question
The least value of the experssion 2 log10 x - logx (0.01),for x > 1, is
Options
A.10
B.2
C.- 0.01
D.None of these
Solution
Here, 2 log10 x - logx(10)(-2) = 2 log10 x + 2 logx 10
= 2 log10 x + 2
Using, AM ≤ GM, ew get
⇒ log10 x +
≥ 2
or 2 log10 x - logx (0.01) ≥ 4
∴ Least value is 4
= 2 log10 x + 2
Using, AM ≤ GM, ew get
⇒ log10 x +
≥ 2 or 2 log10 x - logx (0.01) ≥ 4
∴ Least value is 4
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