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