log(5)4+log(5)(x-3)=log(5)33

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Solution for log(5)4+log(5)(x-3)=log(5)33 equation:


Simplifying
log(5) * 4 + log(5)(x + -3) = log(5) * 33

Reorder the terms for easier multiplication:
5 * 4glo + log(5)(x + -3) = log(5) * 33

Multiply 5 * 4
20glo + log(5)(x + -3) = log(5) * 33

Reorder the terms:
20glo + glo * 5(-3 + x) = log(5) * 33

Reorder the terms for easier multiplication:
20glo + 5glo(-3 + x) = log(5) * 33
20glo + (-3 * 5glo + x * 5glo) = log(5) * 33
20glo + (-15glo + 5glox) = log(5) * 33

Combine like terms: 20glo + -15glo = 5glo
5glo + 5glox = log(5) * 33

Reorder the terms for easier multiplication:
5glo + 5glox = 5 * 33glo

Multiply 5 * 33
5glo + 5glox = 165glo

Solving
5glo + 5glox = 165glo

Solving for variable 'g'.

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

Add '-165glo' to each side of the equation.
5glo + -165glo + 5glox = 165glo + -165glo

Combine like terms: 5glo + -165glo = -160glo
-160glo + 5glox = 165glo + -165glo

Combine like terms: 165glo + -165glo = 0
-160glo + 5glox = 0

Factor out the Greatest Common Factor (GCF), '5glo'.
5glo(-32 + x) = 0

Ignore the factor 5.

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 '(-32 + x)' equal to zero and attempt to solve: Simplifying -32 + x = 0 Solving -32 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + x = 0 + 32 x = 0 + 32 Combine like terms: 0 + 32 = 32 x = 32 Add '-1x' to each side of the equation. x + -1x = 32 + -1x Combine like terms: x + -1x = 0 0 = 32 + -1x Simplifying 0 = 32 + -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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