Log(2x)=log(x)

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Solution for Log(2x)=log(x) equation:


Simplifying
Log(2x) = log(x)

Remove parenthesis around (2x)
goL * 2x = log(x)

Reorder the terms for easier multiplication:
2goL * x = log(x)

Multiply goL * x
2goxL = log(x)

Multiply glo * x
2goxL = glox

Solving
2goxL = glox

Solving for variable 'g'.

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

Add '-1glox' to each side of the equation.
-1glox + 2goxL = glox + -1glox

Combine like terms: glox + -1glox = 0
-1glox + 2goxL = 0

Factor out the Greatest Common Factor (GCF), 'gox'.
gox(-1l + 2L) = 0

Subproblem 1

Set the factor 'gox' equal to zero and attempt to solve: Simplifying gox = 0 Solving gox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gox = 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 '(-1l + 2L)' equal to zero and attempt to solve: Simplifying -1l + 2L = 0 Reorder the terms: 2L + -1l = 0 Solving 2L + -1l = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -2L + -1l = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -1l = 0 + -2L -1l = 0 + -2L Remove the zero: -1l = -2L Add 'l' to each side of the equation. -1l + l = -2L + l Combine like terms: -1l + l = 0 0 = -2L + l Simplifying 0 = -2L + l 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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