A) \[\left( 0,8 \right]\]
B) \[\left[ 8,\infty \right)\]
C) \[\left[ 16,\infty \right)\]
D) \[\left( 0,16 \right]\]
Correct Answer: C
Solution :
If the function \[f(x)\] has smallest value at\[x=1\], then \[\underset{x\to {{1}^{-}}}{\mathop{\lim }}\,f(x)\ge f(1)\Rightarrow -1+{{\log }_{2}}b\ge 3\] \[\Rightarrow {{\log }_{2}}b\ge 4\Rightarrow b\ge 16\] \[\therefore b\in [16,\,\,\infty )\]You need to login to perform this action.
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