log(8x+7)=1+log(x-1)

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Solution for log(8x+7)=1+log(x-1) equation:


Simplifying
log(8x + 7) = 1 + log(x + -1)

Reorder the terms:
glo(7 + 8x) = 1 + log(x + -1)
(7 * glo + 8x * glo) = 1 + log(x + -1)
(7glo + 8glox) = 1 + log(x + -1)

Reorder the terms:
7glo + 8glox = 1 + glo(-1 + x)
7glo + 8glox = 1 + (-1 * glo + x * glo)
7glo + 8glox = 1 + (-1glo + glox)

Solving
7glo + 8glox = 1 + -1glo + glox

Solving for variable 'g'.

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

Add 'glo' to each side of the equation.
7glo + glo + 8glox = 1 + -1glo + glo + glox

Combine like terms: 7glo + glo = 8glo
8glo + 8glox = 1 + -1glo + glo + glox

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

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

Combine like terms: 8glox + -1glox = 7glox
8glo + 7glox = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
8glo + 7glox = 1 + 0
8glo + 7glox = 1

Reorder the terms:
-1 + 8glo + 7glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 8glo + 7glox = 0

The solution to this equation could not be determined.

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