2=4log[9](2x-10)

Solution for 2=4log[9](2x-10) equation:

Simplifying
2 = 4log[9](2x + -10)

Reorder the terms:
2 = 4glo * 9(-10 + 2x)

Reorder the terms for easier multiplication:
2 = 4 * 9glo(-10 + 2x)

Multiply 4 * 9
2 = 36glo(-10 + 2x)
2 = (-10 * 36glo + 2x * 36glo)
2 = (-360glo + 72glox)

Solving
2 = -360glo + 72glox

Solving for variable 'g'.

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

Add '360glo' to each side of the equation.
2 + 360glo = -360glo + 360glo + 72glox

Combine like terms: -360glo + 360glo = 0
2 + 360glo = 0 + 72glox
2 + 360glo = 72glox

Add '-72glox' to each side of the equation.
2 + 360glo + -72glox = 72glox + -72glox

Combine like terms: 72glox + -72glox = 0
2 + 360glo + -72glox = 0

Add '-2' to each side of the equation.
2 + 360glo + -2 + -72glox = 0 + -2

Reorder the terms:
2 + -2 + 360glo + -72glox = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 360glo + -72glox = 0 + -2
360glo + -72glox = 0 + -2

Combine like terms: 0 + -2 = -2
360glo + -72glox = -2

Reorder the terms:
2 + 360glo + -72glox = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 360glo + -72glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 180glo + -36glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + 180glo + -36glox)' equal to zero and attempt to solve:

Simplifying
1 + 180glo + -36glox = 0

Solving
1 + 180glo + -36glox = 0

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

Add '-1' to each side of the equation.
1 + 180glo + -1 + -36glox = 0 + -1

Reorder the terms:
1 + -1 + 180glo + -36glox = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 180glo + -36glox = 0 + -1
180glo + -36glox = 0 + -1

Combine like terms: 0 + -1 = -1
180glo + -36glox = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.