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Simplifying Log(4)[6x + 4] = log(4)[42] Reorder the terms: goL * 4[4 + 6x] = log(4)[42] Reorder the terms for easier multiplication: 4goL[4 + 6x] = log(4)[42] [4 * 4goL + 6x * 4goL] = log(4)[42] [16goL + 24goxL] = log(4)[42] Reorder the terms for easier multiplication: 16goL + 24goxL = 4 * 42glo Multiply 4 * 42 16goL + 24goxL = 168glo Solving 16goL + 24goxL = 168glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-168glo' to each side of the equation. 16goL + -168glo + 24goxL = 168glo + -168glo Reorder the terms: -168glo + 16goL + 24goxL = 168glo + -168glo Combine like terms: 168glo + -168glo = 0 -168glo + 16goL + 24goxL = 0 Factor out the Greatest Common Factor (GCF), '8go'. 8go(-21l + 2L + 3xL) = 0 Ignore the factor 8.Subproblem 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 '(-21l + 2L + 3xL)' equal to zero and attempt to solve: Simplifying -21l + 2L + 3xL = 0 Reorder the terms: 2L + -21l + 3xL = 0 Solving 2L + -21l + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -21l + -2L + 3xL = 0 + -2L Reorder the terms: 2L + -2L + -21l + 3xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -21l + 3xL = 0 + -2L -21l + 3xL = 0 + -2L Remove the zero: -21l + 3xL = -2L Add '21l' to each side of the equation. -21l + 21l + 3xL = -2L + 21l Combine like terms: -21l + 21l = 0 0 + 3xL = -2L + 21l 3xL = -2L + 21l Add '-3xL' to each side of the equation. 3xL + -3xL = -2L + 21l + -3xL Combine like terms: 3xL + -3xL = 0 0 = -2L + 21l + -3xL Simplifying 0 = -2L + 21l + -3xL 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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