Solve modulus equation directly with exponential or trigonometric argument

Solve a modulus equation where the argument directly involves an exponential or trigonometric function without a preceding linear modulus equation to solve first, e.g. 2|3^x-1| = 3^x.

1 questions · Standard +0.3

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CAIE P3 2013 November Q2
4 marks Standard +0.3
2 Solve the equation \(2 \left| 3 ^ { x } - 1 \right| = 3 ^ { x }\), giving your answers correct to 3 significant figures.