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

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Further Mathematics WAEC 2022

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

  • \(\frac{1}{3}\)
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The correct answer is: C

Explanation

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

\(log_{10}4(3x-1) = log_{10}(9x+2)\)

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

12x - 4 = 9x + 2

12x - 9x = 2 + 4

3x = 6

x = 2

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