log^13(2-4x)=log^13(5x+2)

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Solution for log^13(2-4x)=log^13(5x+2) equation:


Simplifying
log13(2 + -4x) = log13(5x + 2)
(2 * g13lo + -4x * g13lo) = log13(5x + 2)
(2g13lo + -4g13lox) = log13(5x + 2)

Reorder the terms:
2g13lo + -4g13lox = g13lo(2 + 5x)
2g13lo + -4g13lox = (2 * g13lo + 5x * g13lo)
2g13lo + -4g13lox = (2g13lo + 5g13lox)

Add '-2g13lo' to each side of the equation.
2g13lo + -2g13lo + -4g13lox = 2g13lo + -2g13lo + 5g13lox

Combine like terms: 2g13lo + -2g13lo = 0
0 + -4g13lox = 2g13lo + -2g13lo + 5g13lox
-4g13lox = 2g13lo + -2g13lo + 5g13lox

Combine like terms: 2g13lo + -2g13lo = 0
-4g13lox = 0 + 5g13lox
-4g13lox = 5g13lox

Solving
-4g13lox = 5g13lox

Solving for variable 'g'.

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

Add '-5g13lox' to each side of the equation.
-4g13lox + -5g13lox = 5g13lox + -5g13lox

Combine like terms: -4g13lox + -5g13lox = -9g13lox
-9g13lox = 5g13lox + -5g13lox

Combine like terms: 5g13lox + -5g13lox = 0
-9g13lox = 0

Divide each side by '-9'.
g13lox = 0

Simplifying
g13lox = 0

The solution to this equation could not be determined.

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