Log(2)x+6+log(2)3=log(2)30

Solution for Log(2)x+6+log(2)3=log(2)30 equation:

Simplifying
Log(2) * x + 6 + log(2) * 3 = log(2) * 30

Reorder the terms for easier multiplication:
2goL * x + 6 + log(2) * 3 = log(2) * 30

Multiply goL * x
2goxL + 6 + log(2) * 3 = log(2) * 30

Reorder the terms for easier multiplication:
2goxL + 6 + 2 * 3glo = log(2) * 30

Multiply 2 * 3
2goxL + 6 + 6glo = log(2) * 30

Reorder the terms:
6 + 6glo + 2goxL = log(2) * 30

Reorder the terms for easier multiplication:
6 + 6glo + 2goxL = 2 * 30glo

Multiply 2 * 30
6 + 6glo + 2goxL = 60glo

Solving
6 + 6glo + 2goxL = 60glo

Solving for variable 'g'.

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

Add '-60glo' to each side of the equation.
6 + 6glo + -60glo + 2goxL = 60glo + -60glo

Combine like terms: 6glo + -60glo = -54glo
6 + -54glo + 2goxL = 60glo + -60glo

Combine like terms: 60glo + -60glo = 0
6 + -54glo + 2goxL = 0

Add '-6' to each side of the equation.
6 + -54glo + -6 + 2goxL = 0 + -6

Reorder the terms:
6 + -6 + -54glo + 2goxL = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -54glo + 2goxL = 0 + -6
-54glo + 2goxL = 0 + -6

Combine like terms: 0 + -6 = -6
-54glo + 2goxL = -6

Reorder the terms:
6 + -54glo + 2goxL = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -54glo + 2goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -27glo + goxL) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -27glo + goxL)' equal to zero and attempt to solve:

Simplifying
3 + -27glo + goxL = 0

Solving
3 + -27glo + goxL = 0

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

Add '-3' to each side of the equation.
3 + -27glo + -3 + goxL = 0 + -3

Reorder the terms:
3 + -3 + -27glo + goxL = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -27glo + goxL = 0 + -3
-27glo + goxL = 0 + -3

Combine like terms: 0 + -3 = -3
-27glo + goxL = -3

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.