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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers1 Mark
MCQ
The solution of the equation $\frac{2^3}{\log3\text{x}}=\frac{1}{64}$ is?
  • A
    $3$
  • B
    $\frac{1}{3}$
  • ✓
    $\frac{1}{\sqrt{(3)}}$
  • D
    $\text{None of these}$
✓

Answer

Correct option: C.
$\frac{1}{\sqrt{(3)}}$

$\frac{3}{\log_3\text{x}}=-6$
$\therefore64=2^6$
$\therefore\log_3\text{x}=-\frac{1}{2}$ or $\text{x}=3^{-\frac{1}{2}}=\frac{1}{\sqrt3}$

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