Log(4)(x-1)=log(4)12

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Solution for Log(4)(x-1)=log(4)12 equation:


Simplifying
Log(4)(x + -1) = log(4) * 12

Reorder the terms:
goL * 4(-1 + x) = log(4) * 12

Reorder the terms for easier multiplication:
4goL(-1 + x) = log(4) * 12
(-1 * 4goL + x * 4goL) = log(4) * 12
(-4goL + 4goxL) = log(4) * 12

Reorder the terms for easier multiplication:
-4goL + 4goxL = 4 * 12glo

Multiply 4 * 12
-4goL + 4goxL = 48glo

Solving
-4goL + 4goxL = 48glo

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-48glo' to each side of the equation.
-4goL + -48glo + 4goxL = 48glo + -48glo

Reorder the terms:
-48glo + -4goL + 4goxL = 48glo + -48glo

Combine like terms: 48glo + -48glo = 0
-48glo + -4goL + 4goxL = 0

Factor out the Greatest Common Factor (GCF), '4go'.
4go(-12l + -1L + xL) = 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 '(-12l + -1L + xL)' equal to zero and attempt to solve: Simplifying -12l + -1L + xL = 0 Reorder the terms: -1L + -12l + xL = 0 Solving -1L + -12l + 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 + -12l + L + xL = 0 + L Reorder the terms: -1L + L + -12l + xL = 0 + L Combine like terms: -1L + L = 0 0 + -12l + xL = 0 + L -12l + xL = 0 + L Remove the zero: -12l + xL = L Add '12l' to each side of the equation. -12l + 12l + xL = L + 12l Combine like terms: -12l + 12l = 0 0 + xL = L + 12l xL = L + 12l Add '-1xL' to each side of the equation. xL + -1xL = L + 12l + -1xL Combine like terms: xL + -1xL = 0 0 = L + 12l + -1xL Simplifying 0 = L + 12l + -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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