Question 90
Solve the equation
$$
\sqrt{2^{x+1}-1} + \sqrt{2^x-1} + 2^x = 2 \cdot (3 \cdot 4^x - 2^{x+1} \cdot \sqrt{2^{2x+1}-1}).
$$
$$
\sqrt{2^{x+1}-1} + \sqrt{2^x-1} + 2^x = 2 \cdot (3 \cdot 4^x - 2^{x+1} \cdot \sqrt{2^{2x+1}-1}).
$$
MathNet 2016-part-04 — 184 problems (EN–VI) Question 90
Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)