log(5x+4)=log^6

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Solution for log(5x+4)=log^6 equation:


Simplifying
log(5x + 4) = log6

Reorder the terms:
glo(4 + 5x) = log6
(4 * glo + 5x * glo) = log6
(4glo + 5glox) = log6

Solving
4glo + 5glox = g6lo

Solving for variable 'g'.

Combine like terms: g6lo + -1g6lo = 0
4glo + 5glox + -1g6lo = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(4 + 5x + -1g5) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4 + 5x + -1g5)' equal to zero and attempt to solve: Simplifying 4 + 5x + -1g5 = 0 Reorder the terms: 4 + -1g5 + 5x = 0 Solving 4 + -1g5 + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1g5 + -4 + 5x = 0 + -4 Reorder the terms: 4 + -4 + -1g5 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g5 + 5x = 0 + -4 -1g5 + 5x = 0 + -4 Combine like terms: 0 + -4 = -4 -1g5 + 5x = -4 Add '-5x' to each side of the equation. -1g5 + 5x + -5x = -4 + -5x Combine like terms: 5x + -5x = 0 -1g5 + 0 = -4 + -5x -1g5 = -4 + -5x Divide each side by '-1'. g5 = 4 + 5x Simplifying g5 = 4 + 5x 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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