Log[3](-7-5x)=4

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Solution for Log[3](-7-5x)=4 equation:


Simplifying
Log[3](-7 + -5x) = 4

Reorder the terms for easier multiplication:
3goL(-7 + -5x) = 4
(-7 * 3goL + -5x * 3goL) = 4
(-21goL + -15goxL) = 4

Solving
-21goL + -15goxL = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + -21goL + -15goxL = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -21goL + -15goxL = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 21goL + 15goxL) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4 + 21goL + 15goxL)' equal to zero and attempt to solve: Simplifying 4 + 21goL + 15goxL = 0 Solving 4 + 21goL + 15goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 21goL + -4 + 15goxL = 0 + -4 Reorder the terms: 4 + -4 + 21goL + 15goxL = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 21goL + 15goxL = 0 + -4 21goL + 15goxL = 0 + -4 Combine like terms: 0 + -4 = -4 21goL + 15goxL = -4 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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