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Simplifying log(7)(x) + log(7)(x + 3) = log(7)(28) Reorder the terms for easier multiplication: 7glo * x + log(7)(x + 3) = log(7)(28) Multiply glo * x 7glox + log(7)(x + 3) = log(7)(28) Reorder the terms: 7glox + glo * 7(3 + x) = log(7)(28) Reorder the terms for easier multiplication: 7glox + 7glo(3 + x) = log(7)(28) 7glox + (3 * 7glo + x * 7glo) = log(7)(28) 7glox + (21glo + 7glox) = log(7)(28) Reorder the terms: 21glo + 7glox + 7glox = log(7)(28) Combine like terms: 7glox + 7glox = 14glox 21glo + 14glox = log(7)(28) Reorder the terms for easier multiplication: 21glo + 14glox = 7 * 28glo Multiply 7 * 28 21glo + 14glox = 196glo Solving 21glo + 14glox = 196glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-196glo' to each side of the equation. 21glo + -196glo + 14glox = 196glo + -196glo Combine like terms: 21glo + -196glo = -175glo -175glo + 14glox = 196glo + -196glo Combine like terms: 196glo + -196glo = 0 -175glo + 14glox = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(-25 + 2x) = 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 '(-25 + 2x)' equal to zero and attempt to solve: Simplifying -25 + 2x = 0 Solving -25 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = 0 + 25 2x = 0 + 25 Combine like terms: 0 + 25 = 25 2x = 25 Add '-2x' to each side of the equation. 2x + -2x = 25 + -2x Combine like terms: 2x + -2x = 0 0 = 25 + -2x Simplifying 0 = 25 + -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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