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Model Paper 3 — Applied Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceApplied MathsModel Paper 31 Mark
MCQ
If $\log _{\sqrt{3}} 27=x$, then the value of $x$ is
  • A
    3
  • B
    9
  • C
    4
  • ✓
    6
✓

Answer

Correct option: D.
6
(d) 6
Explanation: $\log _{\sqrt{3}} 27=x \Rightarrow(\sqrt{3})^{x}=27$
$\Rightarrow 3^{\frac{x}{2}}=3^{3} \Rightarrow \frac{x}{2}=3 \Rightarrow x=6$

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