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Simplifying ln(2x + e) = 0 Reorder the terms: ln(e + 2x) = 0 (e * ln + 2x * ln) = 0 (eln + 2lnx) = 0 Solving eln + 2lnx = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2lnx' to each side of the equation. eln + 2lnx + -2lnx = 0 + -2lnx Combine like terms: 2lnx + -2lnx = 0 eln + 0 = 0 + -2lnx eln = 0 + -2lnx Remove the zero: eln = -2lnx Divide each side by 'ln'. e = -2x Simplifying e = -2x
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