tmua 2023 Q7

tmua · Uk · paper1 1 marks Exponential Functions Exponential Equation Solving

$\mathrm { P } ( x )$ and $Q ( x )$ are defined as follows:
$$\begin{aligned} & \mathrm { P } ( x ) = 2 ^ { x } + 4 \\ & \mathrm { Q } ( x ) = 2 ^ { ( 2 x - 2 ) } - 2 ^ { ( x + 2 ) } + 16 \end{aligned}$$
Find the largest value of $x$ such that $\mathrm { P } ( x )$ and $Q ( x )$ are in the ratio $4 : 1$, respectively.

..... 9

$\mathrm { P } ( x )$ and $Q ( x )$ are defined as follows:

$$\begin{aligned}
& \mathrm { P } ( x ) = 2 ^ { x } + 4 \\
& \mathrm { Q } ( x ) = 2 ^ { ( 2 x - 2 ) } - 2 ^ { ( x + 2 ) } + 16
\end{aligned}$$

Find the largest value of $x$ such that $\mathrm { P } ( x )$ and $Q ( x )$ are in the ratio $4 : 1$, respectively.

Paper Questions

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