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Simplifying ln(7x + 21) = ln(7x + -28) Reorder the terms: ln(21 + 7x) = ln(7x + -28) (21 * ln + 7x * ln) = ln(7x + -28) (21ln + 7lnx) = ln(7x + -28) Reorder the terms: 21ln + 7lnx = ln(-28 + 7x) 21ln + 7lnx = (-28 * ln + 7x * ln) 21ln + 7lnx = (-28ln + 7lnx) Add '-7lnx' to each side of the equation. 21ln + 7lnx + -7lnx = -28ln + 7lnx + -7lnx Combine like terms: 7lnx + -7lnx = 0 21ln + 0 = -28ln + 7lnx + -7lnx 21ln = -28ln + 7lnx + -7lnx Combine like terms: 7lnx + -7lnx = 0 21ln = -28ln + 0 21ln = -28ln Solving 21ln = -28ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '28ln' to each side of the equation. 21ln + 28ln = -28ln + 28ln Combine like terms: 21ln + 28ln = 49ln 49ln = -28ln + 28ln Combine like terms: -28ln + 28ln = 0 49ln = 0 Divide each side by '49'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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