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Simplifying log(x + 4) + ln(x + 5) = 1 Reorder the terms: glo(4 + x) + ln(x + 5) = 1 (4 * glo + x * glo) + ln(x + 5) = 1 (4glo + glox) + ln(x + 5) = 1 Reorder the terms: 4glo + glox + ln(5 + x) = 1 4glo + glox + (5 * ln + x * ln) = 1 4glo + glox + (5ln + lnx) = 1 Solving 4glo + glox + 5ln + lnx = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5ln' to each side of the equation. 4glo + glox + 5ln + -5ln + lnx = 1 + -5ln Combine like terms: 5ln + -5ln = 0 4glo + glox + 0 + lnx = 1 + -5ln 4glo + glox + lnx = 1 + -5ln Add '-1lnx' to each side of the equation. 4glo + glox + lnx + -1lnx = 1 + -5ln + -1lnx Combine like terms: lnx + -1lnx = 0 4glo + glox + 0 = 1 + -5ln + -1lnx 4glo + glox = 1 + -5ln + -1lnx Reorder the terms: -1 + 4glo + glox + 5ln + lnx = 1 + -5ln + -1lnx + -1 + 5ln + lnx Reorder the terms: -1 + 4glo + glox + 5ln + lnx = 1 + -1 + -5ln + 5ln + -1lnx + lnx Combine like terms: 1 + -1 = 0 -1 + 4glo + glox + 5ln + lnx = 0 + -5ln + 5ln + -1lnx + lnx -1 + 4glo + glox + 5ln + lnx = -5ln + 5ln + -1lnx + lnx Combine like terms: -5ln + 5ln = 0 -1 + 4glo + glox + 5ln + lnx = 0 + -1lnx + lnx -1 + 4glo + glox + 5ln + lnx = -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -1 + 4glo + glox + 5ln + lnx = 0 The solution to this equation could not be determined.
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