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Simplifying 3Log[2](x + -1) = log[2](27) Reorder the terms: 3goL * 2(-1 + x) = log[2](27) Reorder the terms for easier multiplication: 3 * 2goL(-1 + x) = log[2](27) Multiply 3 * 2 6goL(-1 + x) = log[2](27) (-1 * 6goL + x * 6goL) = log[2](27) (-6goL + 6goxL) = log[2](27) Reorder the terms for easier multiplication: -6goL + 6goxL = 2 * 27glo Multiply 2 * 27 -6goL + 6goxL = 54glo Solving -6goL + 6goxL = 54glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-54glo' to each side of the equation. -6goL + -54glo + 6goxL = 54glo + -54glo Reorder the terms: -54glo + -6goL + 6goxL = 54glo + -54glo Combine like terms: 54glo + -54glo = 0 -54glo + -6goL + 6goxL = 0 Factor out the Greatest Common Factor (GCF), '6go'. 6go(-9l + -1L + xL) = 0 Ignore the factor 6.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 '(-9l + -1L + xL)' equal to zero and attempt to solve: Simplifying -9l + -1L + xL = 0 Reorder the terms: -1L + -9l + xL = 0 Solving -1L + -9l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + -9l + L + xL = 0 + L Reorder the terms: -1L + L + -9l + xL = 0 + L Combine like terms: -1L + L = 0 0 + -9l + xL = 0 + L -9l + xL = 0 + L Remove the zero: -9l + xL = L Add '9l' to each side of the equation. -9l + 9l + xL = L + 9l Combine like terms: -9l + 9l = 0 0 + xL = L + 9l xL = L + 9l Add '-1xL' to each side of the equation. xL + -1xL = L + 9l + -1xL Combine like terms: xL + -1xL = 0 0 = L + 9l + -1xL Simplifying 0 = L + 9l + -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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