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Solve the equation $4\lvert 5^x - 1 \rvert = 5^x$, and give your answers correct to $3$ decimal places.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Solve the equation $4\lvert 5^x - 1 \rvert = 5^x$, and give your answers correct to $3$ decimal places.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the equivalent non-modular equation $4^2(5^x-1)^2=(5^x)^2$ or the corresponding pair of equations $4(5^x-1)= \pm 5^x$” …