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

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


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

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

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

Reorder the terms:
-7glo + 7glo + 4glox + glox = 1

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

Combine like terms: 4glox + glox = 5glox
5glox = 1

Solving
5glox = 1

Solving for variable 'g'.

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

Divide each side by '5lox'.
g = 0.2l-1o-1x-1

Simplifying
g = 0.2l-1o-1x-1

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