log(5x+9)=1+log(x-6)

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Solution for log(5x+9)=1+log(x-6) equation:


Simplifying
log(5x + 9) = 1 + log(x + -6)

Reorder the terms:
glo(9 + 5x) = 1 + log(x + -6)
(9 * glo + 5x * glo) = 1 + log(x + -6)
(9glo + 5glox) = 1 + log(x + -6)

Reorder the terms:
9glo + 5glox = 1 + glo(-6 + x)
9glo + 5glox = 1 + (-6 * glo + x * glo)
9glo + 5glox = 1 + (-6glo + glox)

Solving
9glo + 5glox = 1 + -6glo + glox

Solving for variable 'g'.

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

Add '6glo' to each side of the equation.
9glo + 6glo + 5glox = 1 + -6glo + 6glo + glox

Combine like terms: 9glo + 6glo = 15glo
15glo + 5glox = 1 + -6glo + 6glo + glox

Combine like terms: -6glo + 6glo = 0
15glo + 5glox = 1 + 0 + glox
15glo + 5glox = 1 + glox

Add '-1glox' to each side of the equation.
15glo + 5glox + -1glox = 1 + glox + -1glox

Combine like terms: 5glox + -1glox = 4glox
15glo + 4glox = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
15glo + 4glox = 1 + 0
15glo + 4glox = 1

Reorder the terms:
-1 + 15glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 15glo + 4glox = 0

The solution to this equation could not be determined.

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