log(7x+9)=2+log(4x-5)

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Solution for log(7x+9)=2+log(4x-5) equation:


Simplifying
log(7x + 9) = 2 + log(4x + -5)

Reorder the terms:
glo(9 + 7x) = 2 + log(4x + -5)
(9 * glo + 7x * glo) = 2 + log(4x + -5)
(9glo + 7glox) = 2 + log(4x + -5)

Reorder the terms:
9glo + 7glox = 2 + glo(-5 + 4x)
9glo + 7glox = 2 + (-5 * glo + 4x * glo)
9glo + 7glox = 2 + (-5glo + 4glox)

Solving
9glo + 7glox = 2 + -5glo + 4glox

Solving for variable 'g'.

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

Add '5glo' to each side of the equation.
9glo + 5glo + 7glox = 2 + -5glo + 5glo + 4glox

Combine like terms: 9glo + 5glo = 14glo
14glo + 7glox = 2 + -5glo + 5glo + 4glox

Combine like terms: -5glo + 5glo = 0
14glo + 7glox = 2 + 0 + 4glox
14glo + 7glox = 2 + 4glox

Add '-4glox' to each side of the equation.
14glo + 7glox + -4glox = 2 + 4glox + -4glox

Combine like terms: 7glox + -4glox = 3glox
14glo + 3glox = 2 + 4glox + -4glox

Combine like terms: 4glox + -4glox = 0
14glo + 3glox = 2 + 0
14glo + 3glox = 2

Reorder the terms:
-2 + 14glo + 3glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 14glo + 3glox = 0

The solution to this equation could not be determined.

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