WAEC - Further Mathematics (2022 - No. 3)
If \(log_{10}(3x-1) + log_{10}4 = log_{10}(9x+2)\), find the value of x
\(\frac{1}{3}\)
1
2
3
설명
\(log_{10}(3x - 1) + log_{10}4 = log_{10}(9x+2)\)
\(log_{10}4(3x-1) = log_{10}(9x+2)\)
4(3x - 1) = 9x + 2
12x - 4 = 9x + 2
12x - 9x = 2 + 4
3x = 6
x = 2