Log(6)(7x-3)=2

Solution for Log(6)(7x-3)=2 equation:

Simplifying
Log(6)(7x + -3) = 2

Reorder the terms:
goL * 6(-3 + 7x) = 2

Reorder the terms for easier multiplication:
6goL(-3 + 7x) = 2
(-3 * 6goL + 7x * 6goL) = 2
(-18goL + 42goxL) = 2

Solving
-18goL + 42goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -18goL + 42goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -18goL + 42goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -9goL + 21goxL) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -9goL + 21goxL)' equal to zero and attempt to solve:

Simplifying
-1 + -9goL + 21goxL = 0

Solving
-1 + -9goL + 21goxL = 0

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

Add '1' to each side of the equation.
-1 + -9goL + 1 + 21goxL = 0 + 1

Reorder the terms:
-1 + 1 + -9goL + 21goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9goL + 21goxL = 0 + 1
-9goL + 21goxL = 0 + 1

Combine like terms: 0 + 1 = 1
-9goL + 21goxL = 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.