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If the bases are the same, then the exponents must be equal to each other
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$3x-2=x-1$
Learn how to solve problems step by step online. Solve the exponential equation 7^(3x-2)=7^(x-1). If the bases are the same, then the exponents must be equal to each other. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values 2 and -1. Combining like terms 3x and -x.