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Solve the equation log8x - 4log8x = 2

Mathematics
WAEC 1994

Solve the equation log8x - 4log8x = 2

  • A. 1/4
  • B. 1/2
  • C. 1
  • D. 2
  • E. 4
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Correct Answer: Option A
Explanation

log\(_8\)x - 4log\(_8\)x = 2; log\(_8\)x - log\(_8\)x\(^4\) = 2
log\(_8\)(\(\frac{\text{x}}{x^4}\)) = 2
\(\frac{\text{x}}{x^4}\) = 8\(^2\) = \(\frac{1}{x^3}\) = 64
x\(^3\) = (\(\frac{1}{4}\))\(^3\);

x = \(\frac{1}{4}\)


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