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Decompose $27$ in it's prime factors
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$\left(3^{3}\right)^{\left(5x-4\right)}=81^{\left(7x-2\right)}$
Learn how to solve problems step by step online. Solve the exponential equation 27^(5x-4)=81^(7x-2). Decompose 27 in it's prime factors. Simplify \left(3^{3}\right)^{\left(5x-4\right)} 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 5x-4. Rewrite the power 81^{\left(7x-2\right)} with base 3. Simplify \left(3^{4}\right)^{\left(7x-2\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals 7x-2.