4logx-2=log(x-3)

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Solution for 4logx-2=log(x-3) equation:


Simplifying
4logx + -2 = log(x + -3)

Reorder the terms:
-2 + 4glox = log(x + -3)

Reorder the terms:
-2 + 4glox = glo(-3 + x)
-2 + 4glox = (-3 * glo + x * glo)
-2 + 4glox = (-3glo + glox)

Solving
-2 + 4glox = -3glo + glox

Solving for variable 'g'.

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

Add '3glo' to each side of the equation.
-2 + 3glo + 4glox = -3glo + 3glo + glox

Combine like terms: -3glo + 3glo = 0
-2 + 3glo + 4glox = 0 + glox
-2 + 3glo + 4glox = glox

Add '-1glox' to each side of the equation.
-2 + 3glo + 4glox + -1glox = glox + -1glox

Combine like terms: 4glox + -1glox = 3glox
-2 + 3glo + 3glox = glox + -1glox

Combine like terms: glox + -1glox = 0
-2 + 3glo + 3glox = 0

Add '2' to each side of the equation.
-2 + 3glo + 2 + 3glox = 0 + 2

Reorder the terms:
-2 + 2 + 3glo + 3glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3glo + 3glox = 0 + 2
3glo + 3glox = 0 + 2

Combine like terms: 0 + 2 = 2
3glo + 3glox = 2

Reorder the terms:
-2 + 3glo + 3glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 3glo + 3glox = 0

The solution to this equation could not be determined.

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