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Simplifying 2x(ln) + x(ln) * e = ln(6) Multiply x * ln 2lnx + x(ln) * e = ln(6) Multiply x * ln 2lnx + lnx * e = ln(6) Multiply lnx * e 2lnx + elnx = ln(6) Reorder the terms: elnx + 2lnx = ln(6) Reorder the terms for easier multiplication: elnx + 2lnx = 6ln Solving elnx + 2lnx = 6ln 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. elnx + 2lnx + -2lnx = 6ln + -2lnx Combine like terms: 2lnx + -2lnx = 0 elnx + 0 = 6ln + -2lnx elnx = 6ln + -2lnx Divide each side by 'lnx'. e = 6x-1 + -2 Simplifying e = 6x-1 + -2 Reorder the terms: e = -2 + 6x-1
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