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Simplifying Log[2](30x) + -1log[2](5) = log[2](12) Remove parenthesis around (30x) goL * 2 * 30x + -1log[2](5) = log[2](12) Reorder the terms for easier multiplication: 2 * 30goL * x + -1log[2](5) = log[2](12) Multiply 2 * 30 60goL * x + -1log[2](5) = log[2](12) Multiply goL * x 60goxL + -1log[2](5) = log[2](12) Reorder the terms for easier multiplication: 60goxL + -1 * 2 * 5glo = log[2](12) Multiply -1 * 2 60goxL + -2 * 5glo = log[2](12) Multiply -2 * 5 60goxL + -10glo = log[2](12) Reorder the terms: -10glo + 60goxL = log[2](12) Reorder the terms for easier multiplication: -10glo + 60goxL = 2 * 12glo Multiply 2 * 12 -10glo + 60goxL = 24glo Solving -10glo + 60goxL = 24glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. -10glo + -24glo + 60goxL = 24glo + -24glo Combine like terms: -10glo + -24glo = -34glo -34glo + 60goxL = 24glo + -24glo Combine like terms: 24glo + -24glo = 0 -34glo + 60goxL = 0 Factor out the Greatest Common Factor (GCF), '2go'. 2go(-17l + 30xL) = 0 Ignore the factor 2.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 '(-17l + 30xL)' equal to zero and attempt to solve: Simplifying -17l + 30xL = 0 Solving -17l + 30xL = 0 Move all terms containing g to the left, all other terms to the right. Add '17l' to each side of the equation. -17l + 17l + 30xL = 0 + 17l Combine like terms: -17l + 17l = 0 0 + 30xL = 0 + 17l 30xL = 0 + 17l Remove the zero: 30xL = 17l Add '-30xL' to each side of the equation. 30xL + -30xL = 17l + -30xL Combine like terms: 30xL + -30xL = 0 0 = 17l + -30xL Simplifying 0 = 17l + -30xL 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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