log(4x+3)=1+log(x-7)

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Solution for log(4x+3)=1+log(x-7) equation:


Simplifying
log(4x + 3) = 1 + log(x + -7)

Reorder the terms:
glo(3 + 4x) = 1 + log(x + -7)
(3 * glo + 4x * glo) = 1 + log(x + -7)
(3glo + 4glox) = 1 + log(x + -7)

Reorder the terms:
3glo + 4glox = 1 + glo(-7 + x)
3glo + 4glox = 1 + (-7 * glo + x * glo)
3glo + 4glox = 1 + (-7glo + glox)

Solving
3glo + 4glox = 1 + -7glo + glox

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.
3glo + 7glo + 4glox = 1 + -7glo + 7glo + glox

Combine like terms: 3glo + 7glo = 10glo
10glo + 4glox = 1 + -7glo + 7glo + glox

Combine like terms: -7glo + 7glo = 0
10glo + 4glox = 1 + 0 + glox
10glo + 4glox = 1 + glox

Add '-1glox' to each side of the equation.
10glo + 4glox + -1glox = 1 + glox + -1glox

Combine like terms: 4glox + -1glox = 3glox
10glo + 3glox = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
10glo + 3glox = 1 + 0
10glo + 3glox = 1

Reorder the terms:
-1 + 10glo + 3glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 10glo + 3glox = 0

The solution to this equation could not be determined.

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