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Simplifying log(x + 2) = 8 + -1ln(2x + 1) Reorder the terms: glo(2 + x) = 8 + -1ln(2x + 1) (2 * glo + x * glo) = 8 + -1ln(2x + 1) (2glo + glox) = 8 + -1ln(2x + 1) Reorder the terms: 2glo + glox = 8 + -1ln(1 + 2x) 2glo + glox = 8 + (1 * -1ln + 2x * -1ln) 2glo + glox = 8 + (-1ln + -2lnx) Solving 2glo + glox = 8 + -1ln + -2lnx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -8 + 2glo + glox + ln + 2lnx = 8 + -1ln + -2lnx + -8 + ln + 2lnx Reorder the terms: -8 + 2glo + glox + ln + 2lnx = 8 + -8 + -1ln + ln + -2lnx + 2lnx Combine like terms: 8 + -8 = 0 -8 + 2glo + glox + ln + 2lnx = 0 + -1ln + ln + -2lnx + 2lnx -8 + 2glo + glox + ln + 2lnx = -1ln + ln + -2lnx + 2lnx Combine like terms: -1ln + ln = 0 -8 + 2glo + glox + ln + 2lnx = 0 + -2lnx + 2lnx -8 + 2glo + glox + ln + 2lnx = -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 -8 + 2glo + glox + ln + 2lnx = 0 The solution to this equation could not be determined.
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