log(5x+1)=1+log(x-8)

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Solution for log(5x+1)=1+log(x-8) equation:


Simplifying
log(5x + 1) = 1 + log(x + -8)

Reorder the terms:
glo(1 + 5x) = 1 + log(x + -8)
(1 * glo + 5x * glo) = 1 + log(x + -8)
(1glo + 5glox) = 1 + log(x + -8)

Reorder the terms:
1glo + 5glox = 1 + glo(-8 + x)
1glo + 5glox = 1 + (-8 * glo + x * glo)
1glo + 5glox = 1 + (-8glo + glox)

Solving
1glo + 5glox = 1 + -8glo + glox

Solving for variable 'g'.

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

Add '8glo' to each side of the equation.
1glo + 8glo + 5glox = 1 + -8glo + 8glo + glox

Combine like terms: 1glo + 8glo = 9glo
9glo + 5glox = 1 + -8glo + 8glo + glox

Combine like terms: -8glo + 8glo = 0
9glo + 5glox = 1 + 0 + glox
9glo + 5glox = 1 + glox

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

Combine like terms: 5glox + -1glox = 4glox
9glo + 4glox = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
9glo + 4glox = 1 + 0
9glo + 4glox = 1

Reorder the terms:
-1 + 9glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 9glo + 4glox = 0

The solution to this equation could not be determined.

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