log[9](x+6)=log[9](9+1)

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Solution for log[9](x+6)=log[9](9+1) equation:


Simplifying
log[9](x + 6) = log[9](9 + 1)

Reorder the terms:
glo * 9(6 + x) = log[9](9 + 1)

Reorder the terms for easier multiplication:
9glo(6 + x) = log[9](9 + 1)
(6 * 9glo + x * 9glo) = log[9](9 + 1)
(54glo + 9glox) = log[9](9 + 1)

Combine like terms: 9 + 1 = 10
54glo + 9glox = glo * 9(10)

Reorder the terms for easier multiplication:
54glo + 9glox = 9 * 10glo

Multiply 9 * 10
54glo + 9glox = 90glo

Solving
54glo + 9glox = 90glo

Solving for variable 'g'.

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

Add '-90glo' to each side of the equation.
54glo + -90glo + 9glox = 90glo + -90glo

Combine like terms: 54glo + -90glo = -36glo
-36glo + 9glox = 90glo + -90glo

Combine like terms: 90glo + -90glo = 0
-36glo + 9glox = 0

Factor out the Greatest Common Factor (GCF), '9glo'.
9glo(-4 + x) = 0

Ignore the factor 9.

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