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Simplifying log(8)(x2 + 11) = log(8)(9x + 3) Reorder the terms: glo * 8(11 + x2) = log(8)(9x + 3) Reorder the terms for easier multiplication: 8glo(11 + x2) = log(8)(9x + 3) (11 * 8glo + x2 * 8glo) = log(8)(9x + 3) (88glo + 8glox2) = log(8)(9x + 3) Reorder the terms: 88glo + 8glox2 = glo * 8(3 + 9x) Reorder the terms for easier multiplication: 88glo + 8glox2 = 8glo(3 + 9x) 88glo + 8glox2 = (3 * 8glo + 9x * 8glo) 88glo + 8glox2 = (24glo + 72glox) Solving 88glo + 8glox2 = 24glo + 72glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. 88glo + -24glo + 8glox2 = 24glo + -24glo + 72glox Combine like terms: 88glo + -24glo = 64glo 64glo + 8glox2 = 24glo + -24glo + 72glox Combine like terms: 24glo + -24glo = 0 64glo + 8glox2 = 0 + 72glox 64glo + 8glox2 = 72glox Add '-72glox' to each side of the equation. 64glo + -72glox + 8glox2 = 72glox + -72glox Combine like terms: 72glox + -72glox = 0 64glo + -72glox + 8glox2 = 0 Factor out the Greatest Common Factor (GCF), '8glo'. 8glo(8 + -9x + x2) = 0 Factor a trinomial. 8glo((1 + -1x)(8 + -1x)) = 0 Ignore the factor 8.Subproblem 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + x 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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