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Simplifying Logx + log(-4x + -23) = log(15) Reorder the terms: goxL + glo(-23 + -4x) = log(15) goxL + (-23 * glo + -4x * glo) = log(15) goxL + (-23glo + -4glox) = log(15) Reorder the terms: -23glo + -4glox + goxL = log(15) Reorder the terms for easier multiplication: -23glo + -4glox + goxL = 15glo Solving -23glo + -4glox + goxL = 15glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15glo' to each side of the equation. -23glo + -4glox + -15glo + goxL = 15glo + -15glo Reorder the terms: -23glo + -15glo + -4glox + goxL = 15glo + -15glo Combine like terms: -23glo + -15glo = -38glo -38glo + -4glox + goxL = 15glo + -15glo Combine like terms: 15glo + -15glo = 0 -38glo + -4glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-38l + -4lx + xL) = 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 '(-38l + -4lx + xL)' equal to zero and attempt to solve: Simplifying -38l + -4lx + xL = 0 Solving -38l + -4lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '38l' to each side of the equation. -38l + -4lx + 38l + xL = 0 + 38l Reorder the terms: -38l + 38l + -4lx + xL = 0 + 38l Combine like terms: -38l + 38l = 0 0 + -4lx + xL = 0 + 38l -4lx + xL = 0 + 38l Remove the zero: -4lx + xL = 38l Add '4lx' to each side of the equation. -4lx + 4lx + xL = 38l + 4lx Combine like terms: -4lx + 4lx = 0 0 + xL = 38l + 4lx xL = 38l + 4lx Add '-1xL' to each side of the equation. xL + -1xL = 38l + 4lx + -1xL Combine like terms: xL + -1xL = 0 0 = 38l + 4lx + -1xL Simplifying 0 = 38l + 4lx + -1xL 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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