(a)[3]
Solve for $x$ in $|2x - 5| = |x + 6|$.
(b)[2]
Hence find the value of $y$ for which $|2^{1-y} - 5| = |2^{-y} + 6|$. Give your answer correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
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-modulus equation $(2x-5)^2=(x+6)^2$, or the corresponding pair of linear equations” …
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