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

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


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

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

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

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

Combine like terms: -2glo + 2glo = 0
0 + 5glox = -2glo + 2glo + -1glox
5glox = -2glo + 2glo + -1glox

Combine like terms: -2glo + 2glo = 0
5glox = 0 + -1glox
5glox = -1glox

Solving
5glox = -1glox

Solving for variable 'g'.

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

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

Combine like terms: 5glox + glox = 6glox
6glox = -1glox + glox

Combine like terms: -1glox + glox = 0
6glox = 0

Divide each side by '6'.
glox = 0

Simplifying
glox = 0

The solution to this equation could not be determined.

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