(i)[3]
Solve for $x$ in $|9x - 2| = |3x + 2|$.
(ii)[2]
Hence, by using logarithms, solve the equation $|3^{y+2} - 2| = |3^{y+1} + 2|$, giving your answer correct to 3 significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Solve for $x$ in $|9x - 2| = |3x + 2|$.
Hence, by using logarithms, solve the equation $|3^{y+2} - 2| = |3^{y+1} + 2|$, giving your answer correct to 3 significant figures.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the equation $(9x-2)^2=(3x+2)^2$ without the modulus signs, or set out the pair of linear equations” …