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Simplifying log(7) * 3 + log(7)(x2 + 7) = log(7) * 48 Reorder the terms for easier multiplication: 7 * 3glo + log(7)(x2 + 7) = log(7) * 48 Multiply 7 * 3 21glo + log(7)(x2 + 7) = log(7) * 48 Reorder the terms: 21glo + glo * 7(7 + x2) = log(7) * 48 Reorder the terms for easier multiplication: 21glo + 7glo(7 + x2) = log(7) * 48 21glo + (7 * 7glo + x2 * 7glo) = log(7) * 48 21glo + (49glo + 7glox2) = log(7) * 48 Combine like terms: 21glo + 49glo = 70glo 70glo + 7glox2 = log(7) * 48 Reorder the terms for easier multiplication: 70glo + 7glox2 = 7 * 48glo Multiply 7 * 48 70glo + 7glox2 = 336glo Solving 70glo + 7glox2 = 336glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-336glo' to each side of the equation. 70glo + -336glo + 7glox2 = 336glo + -336glo Combine like terms: 70glo + -336glo = -266glo -266glo + 7glox2 = 336glo + -336glo Combine like terms: 336glo + -336glo = 0 -266glo + 7glox2 = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(-38 + x2) = 0 Ignore the factor 7.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 '(-38 + x2)' equal to zero and attempt to solve: Simplifying -38 + x2 = 0 Solving -38 + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + x2 = 0 + 38 Combine like terms: -38 + 38 = 0 0 + x2 = 0 + 38 x2 = 0 + 38 Combine like terms: 0 + 38 = 38 x2 = 38 Add '-1x2' to each side of the equation. x2 + -1x2 = 38 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 38 + -1x2 Simplifying 0 = 38 + -1x2 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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