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If the bases are the same, then the exponents must be equal to each other
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$2x+1=8x-3$
Learn how to solve equations problems step by step online. Find the roots of 3^(2x+1)=3^(8x-3). 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 -3 and -1. Combining like terms 2x and -8x.