log(6x+8)=1+log(x-3)

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Solution for log(6x+8)=1+log(x-3) equation:


Simplifying
log(6x + 8) = 1 + log(x + -3)

Reorder the terms:
glo(8 + 6x) = 1 + log(x + -3)
(8 * glo + 6x * glo) = 1 + log(x + -3)
(8glo + 6glox) = 1 + log(x + -3)

Reorder the terms:
8glo + 6glox = 1 + glo(-3 + x)
8glo + 6glox = 1 + (-3 * glo + x * glo)
8glo + 6glox = 1 + (-3glo + glox)

Solving
8glo + 6glox = 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.
8glo + 3glo + 6glox = 1 + -3glo + 3glo + glox

Combine like terms: 8glo + 3glo = 11glo
11glo + 6glox = 1 + -3glo + 3glo + glox

Combine like terms: -3glo + 3glo = 0
11glo + 6glox = 1 + 0 + glox
11glo + 6glox = 1 + glox

Add '-1glox' to each side of the equation.
11glo + 6glox + -1glox = 1 + glox + -1glox

Combine like terms: 6glox + -1glox = 5glox
11glo + 5glox = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
11glo + 5glox = 1 + 0
11glo + 5glox = 1

Reorder the terms:
-1 + 11glo + 5glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 11glo + 5glox = 0

The solution to this equation could not be determined.

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