log[3]+log[3]5=log[3](14x+3)

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Solution for log[3]+log[3]5=log[3](14x+3) equation:


Simplifying
log[3] + log[3] * 5 = log[3](14x + 3)

Reorder the terms for easier multiplication:
3glo + log[3] * 5 = log[3](14x + 3)

Reorder the terms for easier multiplication:
3glo + 3 * 5glo = log[3](14x + 3)

Multiply 3 * 5
3glo + 15glo = log[3](14x + 3)

Combine like terms: 3glo + 15glo = 18glo
18glo = log[3](14x + 3)

Reorder the terms:
18glo = glo * 3(3 + 14x)

Reorder the terms for easier multiplication:
18glo = 3glo(3 + 14x)
18glo = (3 * 3glo + 14x * 3glo)
18glo = (9glo + 42glox)

Solving
18glo = 9glo + 42glox

Solving for variable 'g'.

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

Add '-9glo' to each side of the equation.
18glo + -9glo = 9glo + -9glo + 42glox

Combine like terms: 18glo + -9glo = 9glo
9glo = 9glo + -9glo + 42glox

Combine like terms: 9glo + -9glo = 0
9glo = 0 + 42glox
9glo = 42glox

Add '-42glox' to each side of the equation.
9glo + -42glox = 42glox + -42glox

Combine like terms: 42glox + -42glox = 0
9glo + -42glox = 0

Factor out the Greatest Common Factor (GCF), '3glo'.
3glo(3 + -14x) = 0

Ignore the factor 3.

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 '(3 + -14x)' equal to zero and attempt to solve: Simplifying 3 + -14x = 0 Solving 3 + -14x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -14x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = 0 + -3 -14x = 0 + -3 Combine like terms: 0 + -3 = -3 -14x = -3 Add '14x' to each side of the equation. -14x + 14x = -3 + 14x Combine like terms: -14x + 14x = 0 0 = -3 + 14x Simplifying 0 = -3 + 14x 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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