log(4)(-7-5X)=1

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Solution for log(4)(-7-5X)=1 equation:


Simplifying
log(4)(-7 + -5X) = 1

Reorder the terms for easier multiplication:
4glo(-7 + -5X) = 1
(-7 * 4glo + -5X * 4glo) = 1
(-28glo + -20gloX) = 1

Solving
-28glo + -20gloX = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -28glo + -20gloX = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -28glo + -20gloX = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 28glo + 20gloX) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + 28glo + 20gloX)' equal to zero and attempt to solve: Simplifying 1 + 28glo + 20gloX = 0 Solving 1 + 28glo + 20gloX = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 28glo + -1 + 20gloX = 0 + -1 Reorder the terms: 1 + -1 + 28glo + 20gloX = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 28glo + 20gloX = 0 + -1 28glo + 20gloX = 0 + -1 Combine like terms: 0 + -1 = -1 28glo + 20gloX = -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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