-2=log(3x+5)

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


Simplifying
-2 = log(3x + 5)

Reorder the terms:
-2 = glo(5 + 3x)
-2 = (5 * glo + 3x * glo)
-2 = (5glo + 3glox)

Solving
-2 = 5glo + 3glox

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
-2 + -5glo = 5glo + -5glo + 3glox

Combine like terms: 5glo + -5glo = 0
-2 + -5glo = 0 + 3glox
-2 + -5glo = 3glox

Add '-3glox' to each side of the equation.
-2 + -5glo + -3glox = 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
-2 + -5glo + -3glox = 0

Add '2' to each side of the equation.
-2 + -5glo + 2 + -3glox = 0 + 2

Reorder the terms:
-2 + 2 + -5glo + -3glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5glo + -3glox = 0 + 2
-5glo + -3glox = 0 + 2

Combine like terms: 0 + 2 = 2
-5glo + -3glox = 2

Reorder the terms:
-2 + -5glo + -3glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -5glo + -3glox = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 5glo + 3glox) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2 + 5glo + 3glox)' equal to zero and attempt to solve: Simplifying 2 + 5glo + 3glox = 0 Solving 2 + 5glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5glo + -2 + 3glox = 0 + -2 Reorder the terms: 2 + -2 + 5glo + 3glox = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5glo + 3glox = 0 + -2 5glo + 3glox = 0 + -2 Combine like terms: 0 + -2 = -2 5glo + 3glox = -2 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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