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Simplifying Log(7x + -10) = 2logc Reorder the terms: goL(-10 + 7x) = 2logc (-10 * goL + 7x * goL) = 2logc (-10goL + 7goxL) = 2logc Solving -10goL + 7goxL = 2cglo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2cglo' to each side of the equation. -10goL + -2cglo + 7goxL = 2cglo + -2cglo Reorder the terms: -2cglo + -10goL + 7goxL = 2cglo + -2cglo Combine like terms: 2cglo + -2cglo = 0 -2cglo + -10goL + 7goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-2cl + -10L + 7xL) = 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 '(-2cl + -10L + 7xL)' equal to zero and attempt to solve: Simplifying -2cl + -10L + 7xL = 0 Reorder the terms: -10L + -2cl + 7xL = 0 Solving -10L + -2cl + 7xL = 0 Move all terms containing g to the left, all other terms to the right. Add '10L' to each side of the equation. -10L + -2cl + 10L + 7xL = 0 + 10L Reorder the terms: -10L + 10L + -2cl + 7xL = 0 + 10L Combine like terms: -10L + 10L = 0 0 + -2cl + 7xL = 0 + 10L -2cl + 7xL = 0 + 10L Remove the zero: -2cl + 7xL = 10L Add '2cl' to each side of the equation. -2cl + 2cl + 7xL = 10L + 2cl Combine like terms: -2cl + 2cl = 0 0 + 7xL = 10L + 2cl 7xL = 10L + 2cl Add '-7xL' to each side of the equation. 7xL + -7xL = 10L + 2cl + -7xL Combine like terms: 7xL + -7xL = 0 0 = 10L + 2cl + -7xL Simplifying 0 = 10L + 2cl + -7xL 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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