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Simplifying ln(5e2x) = 3x + -1 Remove parenthesis around (5e2x) ln * 5e2x = 3x + -1 Reorder the terms for easier multiplication: 5ln * e2x = 3x + -1 Multiply ln * e2x 5e2lnx = 3x + -1 Reorder the terms: 5e2lnx = -1 + 3x Solving 5e2lnx = -1 + 3x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Divide each side by '5lnx'. e2 = -0.2l-1n-1x-1 + 0.6l-1n-1 Simplifying e2 = -0.2l-1n-1x-1 + 0.6l-1n-1 Reorder the terms: e2 = 0.6l-1n-1 + -0.2l-1n-1x-1 Reorder the terms: e2 + -0.6l-1n-1 + 0.2l-1n-1x-1 = 0.6l-1n-1 + -0.6l-1n-1 + -0.2l-1n-1x-1 + 0.2l-1n-1x-1 Combine like terms: 0.6l-1n-1 + -0.6l-1n-1 = 0.0 e2 + -0.6l-1n-1 + 0.2l-1n-1x-1 = 0.0 + -0.2l-1n-1x-1 + 0.2l-1n-1x-1 e2 + -0.6l-1n-1 + 0.2l-1n-1x-1 = -0.2l-1n-1x-1 + 0.2l-1n-1x-1 Combine like terms: -0.2l-1n-1x-1 + 0.2l-1n-1x-1 = 0.0 e2 + -0.6l-1n-1 + 0.2l-1n-1x-1 = 0.0 The solution to this equation could not be determined.
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