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Find the roots of the equation using the Quadratic Formula
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$3^{\left(5x-8\right)}=9^{\left(2x+4\right)}$
Learn how to solve problems step by step online. Find the roots of 3^(5x-8)=9^(2x+4). Find the roots of the equation using the Quadratic Formula. Rewrite the power 9^{\left(2x+4\right)} with base 3. Simplify \left(3^{2}\right)^{\left(2x+4\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2x+4. If the bases are the same, then the exponents must be equal to each other.