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Simplifying 2e3x + 5 = ln Reorder the terms: 5 + 2e3x = ln Solving 5 + 2e3x = ln Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2e3x = -5 + ln Combine like terms: 5 + -5 = 0 0 + 2e3x = -5 + ln 2e3x = -5 + ln Divide each side by '2x'. e3 = -2.5x-1 + 0.5lnx-1 Simplifying e3 = -2.5x-1 + 0.5lnx-1 Reorder the terms: e3 = 0.5lnx-1 + -2.5x-1 Reorder the terms: e3 + -0.5lnx-1 + 2.5x-1 = 0.5lnx-1 + -0.5lnx-1 + -2.5x-1 + 2.5x-1 Combine like terms: 0.5lnx-1 + -0.5lnx-1 = 0.0 e3 + -0.5lnx-1 + 2.5x-1 = 0.0 + -2.5x-1 + 2.5x-1 e3 + -0.5lnx-1 + 2.5x-1 = -2.5x-1 + 2.5x-1 Combine like terms: -2.5x-1 + 2.5x-1 = 0.0 e3 + -0.5lnx-1 + 2.5x-1 = 0.0 The solution to this equation could not be determined.
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