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Simplifying ln(e2x * e3x + -2) = 3 Multiply e2x * e3x ln(e5x2 + -2) = 3 Reorder the terms: ln(-2 + e5x2) = 3 (-2 * ln + e5x2 * ln) = 3 Reorder the terms: (e5lnx2 + -2ln) = 3 (e5lnx2 + -2ln) = 3 Solving e5lnx2 + -2ln = 3 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2ln' to each side of the equation. e5lnx2 + -2ln + 2ln = 3 + 2ln Combine like terms: -2ln + 2ln = 0 e5lnx2 + 0 = 3 + 2ln e5lnx2 = 3 + 2ln Divide each side by 'lnx2'. e5 = 3l-1n-1x-2 + 2x-2 Simplifying e5 = 3l-1n-1x-2 + 2x-2 Reorder the terms: e5 + -3l-1n-1x-2 + -2x-2 = 3l-1n-1x-2 + -3l-1n-1x-2 + 2x-2 + -2x-2 Combine like terms: 3l-1n-1x-2 + -3l-1n-1x-2 = 0 e5 + -3l-1n-1x-2 + -2x-2 = 0 + 2x-2 + -2x-2 e5 + -3l-1n-1x-2 + -2x-2 = 2x-2 + -2x-2 Combine like terms: 2x-2 + -2x-2 = 0 e5 + -3l-1n-1x-2 + -2x-2 = 0 The solution to this equation could not be determined.
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