4.75
4.00
1.75
1.00
Correct answer is B
\(\log_{2}(12x - 10) = 1 + \log_{2}(4x + 3)\)
Recall, \( 1 = \log_{2}2\), so
\(\log_{2}(12x - 10) = \log_{2}2 + \log_{2}(4x + 3)\)
= \(\log_{2}(12x - 10) = \log_{2}(2(4x + 3))\)
\(\implies (12x - 10) = 2(4x + 3) \therefore 12x - 10 = 8x + 6\)
\(12x - 8x = 4x = 6 + 10 = 16 \implies x = 4\)
If \(y = x^{3} - x^{2} - x + 6\), find the values of x at the turning point....
A stone is thrown vertically upward and distance, S metres after t seconds is given by S = 12t ...
Marks 2 3 4 5 6 7 8 No of students 5 7 9 6 3 6 4 The table above sho...
If \(2\sin^{2} \theta = 1 + \cos \theta, 0° \leq \theta \leq 90°\), find the value of \(\the...
Marks 0 1 2 3 4 5 Number of candidates 6 4 8 10 9 3 The table abov...
The equation of a circle is \(3x^{2} + 3y^{2} + 6x - 12y + 6 = 0\). Find its radius...
If \(\log_{10}y + 3\log_{10}x \geq \log_{10}x\), express y in terms of x....
Forces \(F_{1} = (8N, 030°)\) and \(F_{2} = (10N, 150°)\) act on a particle. Find the horizo...