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Find the roots of the equation using the Quadratic Formula
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$\sqrt[3]{8^x}=65536$
Learn how to solve equations problems step by step online. Find the roots of 8^x^1/3=65536. Find the roots of the equation using the Quadratic Formula. Simplify \sqrt[3]{8^x} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals x and n equals \frac{1}{3}. Decompose 8 in it's prime factors. Simplify \left(2^{3}\right)^{\frac{1}{3}x} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{3}x.