log(x+9)+log(6)=log(63)

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Solution for log(x+9)+log(6)=log(63) equation:


Simplifying
log(x + 9) + log(6) = log(63)

Reorder the terms:
glo(9 + x) + log(6) = log(63)
(9 * glo + x * glo) + log(6) = log(63)
(9glo + glox) + log(6) = log(63)

Reorder the terms for easier multiplication:
9glo + glox + 6glo = log(63)

Reorder the terms:
9glo + 6glo + glox = log(63)

Combine like terms: 9glo + 6glo = 15glo
15glo + glox = log(63)

Reorder the terms for easier multiplication:
15glo + glox = 63glo

Solving
15glo + glox = 63glo

Solving for variable 'g'.

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

Add '-63glo' to each side of the equation.
15glo + -63glo + glox = 63glo + -63glo

Combine like terms: 15glo + -63glo = -48glo
-48glo + glox = 63glo + -63glo

Combine like terms: 63glo + -63glo = 0
-48glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-48 + x) = 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 '(-48 + x)' equal to zero and attempt to solve: Simplifying -48 + x = 0 Solving -48 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + x = 0 + 48 x = 0 + 48 Combine like terms: 0 + 48 = 48 x = 48 Add '-1x' to each side of the equation. x + -1x = 48 + -1x Combine like terms: x + -1x = 0 0 = 48 + -1x Simplifying 0 = 48 + -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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