Log(x^2+3x+36)=1+log(x-3)

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Solution for Log(x^2+3x+36)=1+log(x-3) equation: 


Simplifying
Log(x2 + 3x + 36) = 1 + log(x + -3)

Reorder the terms:
goL(36 + 3x + x2) = 1 + log(x + -3)
(36 * goL + 3x * goL + x2 * goL) = 1 + log(x + -3)
(36goL + 3goxL + gox2L) = 1 + log(x + -3)

Reorder the terms:
36goL + 3goxL + gox2L = 1 + glo(-3 + x)
36goL + 3goxL + gox2L = 1 + (-3 * glo + x * glo)
36goL + 3goxL + gox2L = 1 + (-3glo + glox)

Solving
36goL + 3goxL + gox2L = 1 + -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.
36goL + 3goxL + 3glo + gox2L = 1 + -3glo + 3glo + glox

Reorder the terms:
3glo + 36goL + 3goxL + gox2L = 1 + -3glo + 3glo + glox

Combine like terms: -3glo + 3glo = 0
3glo + 36goL + 3goxL + gox2L = 1 + 0 + glox
3glo + 36goL + 3goxL + gox2L = 1 + glox

Add '-1glox' to each side of the equation.
3glo + 36goL + 3goxL + -1glox + gox2L = 1 + glox + -1glox

Reorder the terms:
3glo + -1glox + 36goL + 3goxL + gox2L = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
3glo + -1glox + 36goL + 3goxL + gox2L = 1 + 0
3glo + -1glox + 36goL + 3goxL + gox2L = 1

Reorder the terms:
-1 + 3glo + -1glox + 36goL + 3goxL + gox2L = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 3glo + -1glox + 36goL + 3goxL + gox2L = 0

The solution to this equation could not be determined.

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