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

Further Mathematics
WAEC 2022

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
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Correct Answer: Option 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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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free