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Simplifying ln(x + 3) = ln * x + ln * 3 Reorder the terms: ln(3 + x) = ln * x + ln * 3 (3 * ln + x * ln) = ln * x + ln * 3 (3ln + lnx) = ln * x + ln * 3 Multiply ln * x 3ln + lnx = lnx + ln * 3 Reorder the terms for easier multiplication: 3ln + lnx = lnx + 3ln Reorder the terms: 3ln + lnx = 3ln + lnx Add '-3ln' to each side of the equation. 3ln + -3ln + lnx = 3ln + -3ln + lnx Combine like terms: 3ln + -3ln = 0 0 + lnx = 3ln + -3ln + lnx lnx = 3ln + -3ln + lnx Combine like terms: 3ln + -3ln = 0 lnx = 0 + lnx lnx = lnx Add '-1lnx' to each side of the equation. lnx + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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