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Simplifying log(5x + -4) = log(x + 1) + log(4) Reorder the terms: glo(-4 + 5x) = log(x + 1) + log(4) (-4 * glo + 5x * glo) = log(x + 1) + log(4) (-4glo + 5glox) = log(x + 1) + log(4) Reorder the terms: -4glo + 5glox = glo(1 + x) + log(4) -4glo + 5glox = (1 * glo + x * glo) + log(4) -4glo + 5glox = (1glo + glox) + log(4) Reorder the terms for easier multiplication: -4glo + 5glox = 1glo + glox + 4glo Reorder the terms: -4glo + 5glox = 1glo + 4glo + glox Combine like terms: 1glo + 4glo = 5glo -4glo + 5glox = 5glo + glox Solving -4glo + 5glox = 5glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glo' to each side of the equation. -4glo + -5glo + 5glox = 5glo + -5glo + glox Combine like terms: -4glo + -5glo = -9glo -9glo + 5glox = 5glo + -5glo + glox Combine like terms: 5glo + -5glo = 0 -9glo + 5glox = 0 + glox -9glo + 5glox = glox Add '-1glox' to each side of the equation. -9glo + 5glox + -1glox = glox + -1glox Combine like terms: 5glox + -1glox = 4glox -9glo + 4glox = glox + -1glox Combine like terms: glox + -1glox = 0 -9glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-9 + 4x) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-9 + 4x)' equal to zero and attempt to solve: Simplifying -9 + 4x = 0 Solving -9 + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Add '-4x' to each side of the equation. 4x + -4x = 9 + -4x Combine like terms: 4x + -4x = 0 0 = 9 + -4x Simplifying 0 = 9 + -4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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