log(8x+5)=1+log(x-2)

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Solution for log(8x+5)=1+log(x-2) equation:


Simplifying
log(8x + 5) = 1 + log(x + -2)

Reorder the terms:
glo(5 + 8x) = 1 + log(x + -2)
(5 * glo + 8x * glo) = 1 + log(x + -2)
(5glo + 8glox) = 1 + log(x + -2)

Reorder the terms:
5glo + 8glox = 1 + glo(-2 + x)
5glo + 8glox = 1 + (-2 * glo + x * glo)
5glo + 8glox = 1 + (-2glo + glox)

Solving
5glo + 8glox = 1 + -2glo + glox

Solving for variable 'g'.

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

Add '2glo' to each side of the equation.
5glo + 2glo + 8glox = 1 + -2glo + 2glo + glox

Combine like terms: 5glo + 2glo = 7glo
7glo + 8glox = 1 + -2glo + 2glo + glox

Combine like terms: -2glo + 2glo = 0
7glo + 8glox = 1 + 0 + glox
7glo + 8glox = 1 + glox

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

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

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

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

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

The solution to this equation could not be determined.

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