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Simplifying Log[4](x2 + 2x) = log[4] * 15 Reorder the terms: goL * 4(2x + x2) = log[4] * 15 Reorder the terms for easier multiplication: 4goL(2x + x2) = log[4] * 15 (2x * 4goL + x2 * 4goL) = log[4] * 15 (8goxL + 4gox2L) = log[4] * 15 Reorder the terms for easier multiplication: 8goxL + 4gox2L = 4 * 15glo Multiply 4 * 15 8goxL + 4gox2L = 60glo Solving 8goxL + 4gox2L = 60glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-60glo' to each side of the equation. 8goxL + -60glo + 4gox2L = 60glo + -60glo Reorder the terms: -60glo + 8goxL + 4gox2L = 60glo + -60glo Combine like terms: 60glo + -60glo = 0 -60glo + 8goxL + 4gox2L = 0 Factor out the Greatest Common Factor (GCF), '4go'. 4go(-15l + 2xL + x2L) = 0 Ignore the factor 4.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 '(-15l + 2xL + x2L)' equal to zero and attempt to solve: Simplifying -15l + 2xL + x2L = 0 Solving -15l + 2xL + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '15l' to each side of the equation. -15l + 2xL + 15l + x2L = 0 + 15l Reorder the terms: -15l + 15l + 2xL + x2L = 0 + 15l Combine like terms: -15l + 15l = 0 0 + 2xL + x2L = 0 + 15l 2xL + x2L = 0 + 15l Remove the zero: 2xL + x2L = 15l Add '-2xL' to each side of the equation. 2xL + -2xL + x2L = 15l + -2xL Combine like terms: 2xL + -2xL = 0 0 + x2L = 15l + -2xL x2L = 15l + -2xL Add '-1x2L' to each side of the equation. x2L + -1x2L = 15l + -2xL + -1x2L Combine like terms: x2L + -1x2L = 0 0 = 15l + -2xL + -1x2L Simplifying 0 = 15l + -2xL + -1x2L 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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