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Simplifying ln(2e3x + 4) = 5 Reorder the terms: ln(4 + 2e3x) = 5 (4 * ln + 2e3x * ln) = 5 Reorder the terms: (2e3lnx + 4ln) = 5 (2e3lnx + 4ln) = 5 Solving 2e3lnx + 4ln = 5 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4ln' to each side of the equation. 2e3lnx + 4ln + -4ln = 5 + -4ln Combine like terms: 4ln + -4ln = 0 2e3lnx + 0 = 5 + -4ln 2e3lnx = 5 + -4ln Divide each side by '2lnx'. e3 = 2.5l-1n-1x-1 + -2x-1 Simplifying e3 = 2.5l-1n-1x-1 + -2x-1 Reorder the terms: e3 + -2.5l-1n-1x-1 + 2x-1 = 2.5l-1n-1x-1 + -2.5l-1n-1x-1 + -2x-1 + 2x-1 Combine like terms: 2.5l-1n-1x-1 + -2.5l-1n-1x-1 = 0.0 e3 + -2.5l-1n-1x-1 + 2x-1 = 0.0 + -2x-1 + 2x-1 e3 + -2.5l-1n-1x-1 + 2x-1 = -2x-1 + 2x-1 Combine like terms: -2x-1 + 2x-1 = 0 e3 + -2.5l-1n-1x-1 + 2x-1 = 0 The solution to this equation could not be determined.
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