TMUA 2023 Paper 1 Q7 — Worked Solution

P1·Indices, Logarithms & Exponentials·5.0Official · 2023 · Q7

hidden-quadraticexponential-equationlogarithm

P (x)

and

Q (x)

are defined as follows:

P (x) = 2^{x} + 4, Q (x) = 2^{2 x - 2} - 2^{x + 2} + 16.

Find the largest value of

x

such that

P (x)

and

Q (x)

are in the ratio

4 : 1

, respectively.

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