Solve, correct to three significant figures, (0.3)\(^x\) = (0,5)\(^8\)

FURTHER MATHEMATICS
WAEC 2019

Solve, correct to three significant figures, (0.3)\(^x\) = (0,5)\(^8\)

  • A. 4.61
  • B. 4.606
  • C. 0.461
  • D. 0.0130

Correct Answer: B. 4.606

Explanation

(0,3)\(^x\) = (0.5)\(^8\)

xlog 0,3 = 9 log 0.5

x = \(\frac{8 \log 0.5}{\log 0.3}\)

= 4.606



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