Log(67)=log(21x)

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Solution for Log(67)=log(21x) equation:


Simplifying
Log(67) = log(21x)

Reorder the terms for easier multiplication:
67goL = log(21x)

Remove parenthesis around (21x)
67goL = glo * 21x

Reorder the terms for easier multiplication:
67goL = 21glo * x

Multiply glo * x
67goL = 21glox

Solving
67goL = 21glox

Solving for variable 'g'.

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

Add '-21glox' to each side of the equation.
-21glox + 67goL = 21glox + -21glox

Combine like terms: 21glox + -21glox = 0
-21glox + 67goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-21lx + 67L) = 0

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 '(-21lx + 67L)' equal to zero and attempt to solve: Simplifying -21lx + 67L = 0 Reorder the terms: 67L + -21lx = 0 Solving 67L + -21lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-67L' to each side of the equation. 67L + -67L + -21lx = 0 + -67L Combine like terms: 67L + -67L = 0 0 + -21lx = 0 + -67L -21lx = 0 + -67L Remove the zero: -21lx = -67L Add '21lx' to each side of the equation. -21lx + 21lx = -67L + 21lx Combine like terms: -21lx + 21lx = 0 0 = -67L + 21lx Simplifying 0 = -67L + 21lx 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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