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Simplifying 2log(x) + -1Log(4) = Log(x + 15) Multiply glo * x 2glox + -1Log(4) = Log(x + 15) Reorder the terms for easier multiplication: 2glox + -1 * 4goL = Log(x + 15) Multiply -1 * 4 2glox + -4goL = Log(x + 15) Reorder the terms: 2glox + -4goL = goL(15 + x) 2glox + -4goL = (15 * goL + x * goL) 2glox + -4goL = (15goL + goxL) Solving 2glox + -4goL = 15goL + goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15goL' to each side of the equation. 2glox + -4goL + -15goL = 15goL + -15goL + goxL Combine like terms: -4goL + -15goL = -19goL 2glox + -19goL = 15goL + -15goL + goxL Combine like terms: 15goL + -15goL = 0 2glox + -19goL = 0 + goxL 2glox + -19goL = goxL Add '-1goxL' to each side of the equation. 2glox + -19goL + -1goxL = goxL + -1goxL Combine like terms: goxL + -1goxL = 0 2glox + -19goL + -1goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(2lx + -19L + -1xL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(2lx + -19L + -1xL)' equal to zero and attempt to solve: Simplifying 2lx + -19L + -1xL = 0 Reorder the terms: -19L + 2lx + -1xL = 0 Solving -19L + 2lx + -1xL = 0 Move all terms containing g to the left, all other terms to the right. Add '19L' to each side of the equation. -19L + 2lx + 19L + -1xL = 0 + 19L Reorder the terms: -19L + 19L + 2lx + -1xL = 0 + 19L Combine like terms: -19L + 19L = 0 0 + 2lx + -1xL = 0 + 19L 2lx + -1xL = 0 + 19L Remove the zero: 2lx + -1xL = 19L Add '-2lx' to each side of the equation. 2lx + -2lx + -1xL = 19L + -2lx Combine like terms: 2lx + -2lx = 0 0 + -1xL = 19L + -2lx -1xL = 19L + -2lx Add 'xL' to each side of the equation. -1xL + xL = 19L + -2lx + xL Combine like terms: -1xL + xL = 0 0 = 19L + -2lx + xL Simplifying 0 = 19L + -2lx + xL 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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