log[4]3+log[4]x=log[4]18

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Solution for log[4]3+log[4]x=log[4]18 equation:


Simplifying
log[4] * 3 + log[4] * x = log[4] * 18

Reorder the terms for easier multiplication:
4 * 3glo + log[4] * x = log[4] * 18

Multiply 4 * 3
12glo + log[4] * x = log[4] * 18

Reorder the terms for easier multiplication:
12glo + 4glo * x = log[4] * 18

Multiply glo * x
12glo + 4glox = log[4] * 18

Reorder the terms for easier multiplication:
12glo + 4glox = 4 * 18glo

Multiply 4 * 18
12glo + 4glox = 72glo

Solving
12glo + 4glox = 72glo

Solving for variable 'g'.

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

Add '-72glo' to each side of the equation.
12glo + -72glo + 4glox = 72glo + -72glo

Combine like terms: 12glo + -72glo = -60glo
-60glo + 4glox = 72glo + -72glo

Combine like terms: 72glo + -72glo = 0
-60glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '4glo'.
4glo(-15 + x) = 0

Ignore the factor 4.

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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Add '-1x' to each side of the equation. x + -1x = 15 + -1x Combine like terms: x + -1x = 0 0 = 15 + -1x Simplifying 0 = 15 + -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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