log(3x+8)=2+log(6x-7)

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Solution for log(3x+8)=2+log(6x-7) equation:


Simplifying
log(3x + 8) = 2 + log(6x + -7)

Reorder the terms:
glo(8 + 3x) = 2 + log(6x + -7)
(8 * glo + 3x * glo) = 2 + log(6x + -7)
(8glo + 3glox) = 2 + log(6x + -7)

Reorder the terms:
8glo + 3glox = 2 + glo(-7 + 6x)
8glo + 3glox = 2 + (-7 * glo + 6x * glo)
8glo + 3glox = 2 + (-7glo + 6glox)

Solving
8glo + 3glox = 2 + -7glo + 6glox

Solving for variable 'g'.

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

Add '7glo' to each side of the equation.
8glo + 7glo + 3glox = 2 + -7glo + 7glo + 6glox

Combine like terms: 8glo + 7glo = 15glo
15glo + 3glox = 2 + -7glo + 7glo + 6glox

Combine like terms: -7glo + 7glo = 0
15glo + 3glox = 2 + 0 + 6glox
15glo + 3glox = 2 + 6glox

Add '-6glox' to each side of the equation.
15glo + 3glox + -6glox = 2 + 6glox + -6glox

Combine like terms: 3glox + -6glox = -3glox
15glo + -3glox = 2 + 6glox + -6glox

Combine like terms: 6glox + -6glox = 0
15glo + -3glox = 2 + 0
15glo + -3glox = 2

Reorder the terms:
-2 + 15glo + -3glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 15glo + -3glox = 0

The solution to this equation could not be determined.

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