log(4)(-3-5x)=2

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Solution for log(4)(-3-5x)=2 equation:


Simplifying
log(4)(-3 + -5x) = 2

Reorder the terms for easier multiplication:
4glo(-3 + -5x) = 2
(-3 * 4glo + -5x * 4glo) = 2
(-12glo + -20glox) = 2

Solving
-12glo + -20glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -12glo + -20glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -12glo + -20glox = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 6glo + 10glox) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(1 + 6glo + 10glox)' equal to zero and attempt to solve: Simplifying 1 + 6glo + 10glox = 0 Solving 1 + 6glo + 10glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6glo + -1 + 10glox = 0 + -1 Reorder the terms: 1 + -1 + 6glo + 10glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6glo + 10glox = 0 + -1 6glo + 10glox = 0 + -1 Combine like terms: 0 + -1 = -1 6glo + 10glox = -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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