(i)[3]
Solve for $x$ in the equation $|2x+3| = |x+8|$.
(ii)[2]
Hence, solve the equation $|2^{x+1}+3| = |2^x+8|$ using logarithms. Give the 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 form $(2x+3)^2=(x+8)^2$ or the matching pair of linear equations” …
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