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Simplifying ln(x) + log(3x + -13) = 1 Multiply ln * x lnx + log(3x + -13) = 1 Reorder the terms: lnx + glo(-13 + 3x) = 1 lnx + (-13 * glo + 3x * glo) = 1 lnx + (-13glo + 3glox) = 1 Reorder the terms: -13glo + 3glox + lnx = 1 Solving -13glo + 3glox + lnx = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1lnx' to each side of the equation. -13glo + 3glox + lnx + -1lnx = 1 + -1lnx Combine like terms: lnx + -1lnx = 0 -13glo + 3glox + 0 = 1 + -1lnx -13glo + 3glox = 1 + -1lnx Reorder the terms: -1 + -13glo + 3glox + lnx = 1 + -1lnx + -1 + lnx Reorder the terms: -1 + -13glo + 3glox + lnx = 1 + -1 + -1lnx + lnx Combine like terms: 1 + -1 = 0 -1 + -13glo + 3glox + lnx = 0 + -1lnx + lnx -1 + -13glo + 3glox + lnx = -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -1 + -13glo + 3glox + lnx = 0 The solution to this equation could not be determined.
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