(i)[3]
Find the values of $x$ from the equation $2|x - 1| = 3|x|$.
(ii)[2]
Hence solve the equation $2|5^x - 1| = 3|5^x|$, and express your answer correct to 3 significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Find the values of $x$ from the equation $2|x - 1| = 3|x|$.
Hence solve the equation $2|5^x - 1| = 3|5^x|$, and express 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 non-modular equation $(2(x-1))^2 = (3x)^2$, or two linear equations $2(x-1)=\pm 3x$” …