4log(9x+17)-5=7

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Solution for 4log(9x+17)-5=7 equation: 


Simplifying
4log(9x + 17) + -5 = 7

Reorder the terms:
4glo(17 + 9x) + -5 = 7
(17 * 4glo + 9x * 4glo) + -5 = 7
(68glo + 36glox) + -5 = 7

Reorder the terms:
-5 + 68glo + 36glox = 7

Solving
-5 + 68glo + 36glox = 7

Solving for variable 'g'.

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

Add '5' to each side of the equation.
-5 + 68glo + 5 + 36glox = 7 + 5

Reorder the terms:
-5 + 5 + 68glo + 36glox = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 68glo + 36glox = 7 + 5
68glo + 36glox = 7 + 5

Combine like terms: 7 + 5 = 12
68glo + 36glox = 12

Reorder the terms:
-12 + 68glo + 36glox = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 68glo + 36glox = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 17glo + 9glox) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + 17glo + 9glox)' equal to zero and attempt to solve:

Simplifying
-3 + 17glo + 9glox = 0

Solving
-3 + 17glo + 9glox = 0

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

Add '3' to each side of the equation.
-3 + 17glo + 3 + 9glox = 0 + 3

Reorder the terms:
-3 + 3 + 17glo + 9glox = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 17glo + 9glox = 0 + 3
17glo + 9glox = 0 + 3

Combine like terms: 0 + 3 = 3
17glo + 9glox = 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.

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