Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

(a)[3]

Solve for $x$ in the equation $|4x - 1| = |x - 3|$.

(b)[3]

Hence solve the equation $|4^{y+1} - 1| = |4^y - 3|$ correct to 3 significant figures.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply $(4x-1)^2=(x-3)^2$ or the two linear equations $4x-1=\pm(x-3)$

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