(x-1)log(.5)=(3x)log(4)

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Solution for (x-1)log(.5)=(3x)log(4) equation:


Simplifying
(x + -1) * log(0.5) = (3x) * log(4)

Reorder the terms:
(-1 + x) * log(0.5) = (3x) * log(4)

Reorder the terms for easier multiplication:
0.5glo(-1 + x) = (3x) * log(4)
(-1 * 0.5glo + x * 0.5glo) = (3x) * log(4)
(-0.5glo + 0.5glox) = (3x) * log(4)

Remove parenthesis around (3x)
-0.5glo + 0.5glox = 3x * log(4)

Reorder the terms for easier multiplication:
-0.5glo + 0.5glox = 3 * 4x * glo

Multiply 3 * 4
-0.5glo + 0.5glox = 12x * glo

Multiply x * glo
-0.5glo + 0.5glox = 12glox

Solving
-0.5glo + 0.5glox = 12glox

Solving for variable 'g'.

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

Add '-12glox' to each side of the equation.
-0.5glo + 0.5glox + -12glox = 12glox + -12glox

Combine like terms: 0.5glox + -12glox = -11.5glox
-0.5glo + -11.5glox = 12glox + -12glox

Combine like terms: 12glox + -12glox = 0
-0.5glo + -11.5glox = 0

The solution to this equation could not be determined.

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