log(x+4)=log(48)+log(3)

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Solution for log(x+4)=log(48)+log(3) equation:


Simplifying
log(x + 4) = log(48) + log(3)

Reorder the terms:
glo(4 + x) = log(48) + log(3)
(4 * glo + x * glo) = log(48) + log(3)
(4glo + glox) = log(48) + log(3)

Reorder the terms for easier multiplication:
4glo + glox = 48glo + log(3)

Reorder the terms for easier multiplication:
4glo + glox = 48glo + 3glo

Combine like terms: 48glo + 3glo = 51glo
4glo + glox = 51glo

Solving
4glo + glox = 51glo

Solving for variable 'g'.

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

Add '-51glo' to each side of the equation.
4glo + -51glo + glox = 51glo + -51glo

Combine like terms: 4glo + -51glo = -47glo
-47glo + glox = 51glo + -51glo

Combine like terms: 51glo + -51glo = 0
-47glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-47 + 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 '(-47 + x)' equal to zero and attempt to solve: Simplifying -47 + x = 0 Solving -47 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + x = 0 + 47 x = 0 + 47 Combine like terms: 0 + 47 = 47 x = 47 Add '-1x' to each side of the equation. x + -1x = 47 + -1x Combine like terms: x + -1x = 0 0 = 47 + -1x Simplifying 0 = 47 + -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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