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Rewrite the power $9^{\left(2x+4\right)}$ with base $3$
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$3^{\left(5x-8\right)}=\left(3^{2}\right)^{\left(2x+4\right)}$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 3^(5x-8)=9^(2x+4). 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. Factor the polynomial \left(2x+4\right) by it's greatest common factor (GCF): 2.