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Simplifying ln(x) = ln(5) + ln(x + -7) Multiply ln * x lnx = ln(5) + ln(x + -7) Reorder the terms for easier multiplication: lnx = 5ln + ln(x + -7) Reorder the terms: lnx = 5ln + ln(-7 + x) lnx = 5ln + (-7 * ln + x * ln) lnx = 5ln + (-7ln + lnx) Combine like terms: 5ln + -7ln = -2ln lnx = -2ln + lnx Add '-1lnx' to each side of the equation. lnx + -1lnx = -2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = -2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = -2ln + 0 0 = -2ln Solving 0 = -2ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2ln' to each side of the equation. 0 + 2ln = -2ln + 2ln Remove the zero: 2ln = -2ln + 2ln Combine like terms: -2ln + 2ln = 0 2ln = 0 Divide each side by '2'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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