5log(4x-9)=30

Solution for 5log(4x-9)=30 equation:

Simplifying
5log(4x + -9) = 30

Reorder the terms:
5glo(-9 + 4x) = 30
(-9 * 5glo + 4x * 5glo) = 30
(-45glo + 20glox) = 30

Solving
-45glo + 20glox = 30

Solving for variable 'g'.

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

Reorder the terms:
-30 + -45glo + 20glox = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -45glo + 20glox = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + -9glo + 4glox) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -9glo + 4glox)' equal to zero and attempt to solve:

Simplifying
-6 + -9glo + 4glox = 0

Solving
-6 + -9glo + 4glox = 0

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

Add '6' to each side of the equation.
-6 + -9glo + 6 + 4glox = 0 + 6

Reorder the terms:
-6 + 6 + -9glo + 4glox = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -9glo + 4glox = 0 + 6
-9glo + 4glox = 0 + 6

Combine like terms: 0 + 6 = 6
-9glo + 4glox = 6

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.