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Simplifying log(7)(4x + 4) + -1log(7)(4) = log(7)(2) Reorder the terms: glo * 7(4 + 4x) + -1log(7)(4) = log(7)(2) Reorder the terms for easier multiplication: 7glo(4 + 4x) + -1log(7)(4) = log(7)(2) (4 * 7glo + 4x * 7glo) + -1log(7)(4) = log(7)(2) (28glo + 28glox) + -1log(7)(4) = log(7)(2) Reorder the terms for easier multiplication: 28glo + 28glox + -1 * 7 * 4glo = log(7)(2) Multiply -1 * 7 28glo + 28glox + -7 * 4glo = log(7)(2) Multiply -7 * 4 28glo + 28glox + -28glo = log(7)(2) Reorder the terms: 28glo + -28glo + 28glox = log(7)(2) Combine like terms: 28glo + -28glo = 0 0 + 28glox = log(7)(2) 28glox = log(7)(2) Reorder the terms for easier multiplication: 28glox = 7 * 2glo Multiply 7 * 2 28glox = 14glo Solving 28glox = 14glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glo' to each side of the equation. -14glo + 28glox = 14glo + -14glo Combine like terms: 14glo + -14glo = 0 -14glo + 28glox = 0 Factor out the Greatest Common Factor (GCF), '14glo'. 14glo(-1 + 2x) = 0 Ignore the factor 14.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 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 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 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Add '-2x' to each side of the equation. 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 0 = 1 + -2x Simplifying 0 = 1 + -2x 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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