Solve rational exponential equation

A question is this type if and only if it involves solving an equation with exponential expressions in a fraction or ratio form.

3 questions · Moderate -0.2

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CAIE P3 2016 November Q1

3 marks Moderate -0.5

1 Solve the equation \(\frac { 3 ^ { x } + 2 } { 3 ^ { x } - 2 } = 8\), giving your answer correct to 3 decimal places.

CAIE P3 2018 November Q2

4 marks Moderate -0.3

2 Showing all necessary working, solve the equation \(\frac { 2 \mathrm { e } ^ { x } + \mathrm { e } ^ { - x } } { \mathrm { e } ^ { x } - \mathrm { e } ^ { - x } } = 4\), giving your answer correct to 2 decimal places.

CAIE P3 2019 November Q3

4 marks Standard +0.3

3 Showing all necessary working, solve the equation \(\frac { 3 ^ { 2 x } + 3 ^ { - x } } { 3 ^ { 2 x } - 3 ^ { - x } } = 4\). Give your answer correct to 3 decimal places.