Log[9](x)-log[9](x+4)=0

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Solution for Log[9](x)-log[9](x+4)=0 equation:


Simplifying
Log[9](x) + -1log[9](x + 4) = 0

Reorder the terms for easier multiplication:
9goL * x + -1log[9](x + 4) = 0

Multiply goL * x
9goxL + -1log[9](x + 4) = 0

Reorder the terms:
9goxL + -1glo * 9(4 + x) = 0

Reorder the terms for easier multiplication:
9goxL + -1 * 9glo(4 + x) = 0

Multiply -1 * 9
9goxL + -9glo(4 + x) = 0
9goxL + (4 * -9glo + x * -9glo) = 0
9goxL + (-36glo + -9glox) = 0

Reorder the terms:
-36glo + -9glox + 9goxL = 0

Solving
-36glo + -9glox + 9goxL = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '9go'.
9go(-4l + -1lx + xL) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-4l + -1lx + xL)' equal to zero and attempt to solve: Simplifying -4l + -1lx + xL = 0 Solving -4l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '4l' to each side of the equation. -4l + -1lx + 4l + xL = 0 + 4l Reorder the terms: -4l + 4l + -1lx + xL = 0 + 4l Combine like terms: -4l + 4l = 0 0 + -1lx + xL = 0 + 4l -1lx + xL = 0 + 4l Remove the zero: -1lx + xL = 4l Add 'lx' to each side of the equation. -1lx + lx + xL = 4l + lx Combine like terms: -1lx + lx = 0 0 + xL = 4l + lx xL = 4l + lx Add '-1xL' to each side of the equation. xL + -1xL = 4l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = 4l + lx + -1xL Simplifying 0 = 4l + lx + -1xL 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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