Exponential or logarithmic simultaneous

A question is this type if and only if it involves simultaneous equations with exponential (eˣ) or logarithmic (ln x, log x) functions.

2 questions · Standard +0.6

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Edexcel C12 2014 January Q6

6 marks Standard +0.3

6. Given that \(a\) and \(b\) are positive constants, solve the simultaneous equations $$\begin{gathered} a b = 25 \\ \log _ { 4 } a - \log _ { 4 } b = 3 \end{gathered}$$ Show each step of your working, giving exact values for \(a\) and \(b\).

OCR C3 Q4

7 marks Standard +0.8

4. Giving your answers to 2 decimal places, solve the simultaneous equations $$\begin{aligned} & \mathrm { e } ^ { 2 y } - x + 2 = 0 \\ & \ln ( x + 3 ) - 2 y - 1 = 0 \end{aligned}$$