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

Logarithmic and exponential functions — practice question

(i)[3]

Solve $|4x + 5| = |x - 7|$.

(ii)[2]

Hence, solve $|2^{y+2} + 5| = |2^{y} - 7|$ by using logarithms, and give the answer correct to $3$ significant figures.

Worked solution & mark scheme

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 $(4x+5)^2=(x-7)^2$ or a pair of distinct linear equations

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