log(4)(5x+7)=4

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


Simplifying
log(4)(5x + 7) = 4

Reorder the terms:
glo * 4(7 + 5x) = 4

Reorder the terms for easier multiplication:
4glo(7 + 5x) = 4
(7 * 4glo + 5x * 4glo) = 4
(28glo + 20glox) = 4

Solving
28glo + 20glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 28glo + 20glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 28glo + 20glox = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 7glo + 5glox) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + 7glo + 5glox)' equal to zero and attempt to solve: Simplifying -1 + 7glo + 5glox = 0 Solving -1 + 7glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 7glo + 1 + 5glox = 0 + 1 Reorder the terms: -1 + 1 + 7glo + 5glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7glo + 5glox = 0 + 1 7glo + 5glox = 0 + 1 Combine like terms: 0 + 1 = 1 7glo + 5glox = 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.

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