If \(log_{10}(3x+1) + log_{10}4 = log_{10}(9x+2)\), find the value of x

  • A \(\frac{1}{3}\)
  • B 1
  • C 2
  • D 3
waec 2022furthermathematics

The correct answer is C. 2

\(log_{10}(3x+1) + log_{10}4 = log_{10}(9x+2)\)

\(log_{10}4(3x+1) = log_{10}(9x+2)\)

4(3x+1) = 9x + 2

12x -4 = 9x + 2

12x - 9x = 2 + 4

3x = 6

x = 2

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