log(15)=log(7-4x)

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Solution for log(15)=log(7-4x) equation:


Simplifying
log(15) = log(7 + -4x)

Reorder the terms for easier multiplication:
15glo = log(7 + -4x)
15glo = (7 * glo + -4x * glo)
15glo = (7glo + -4glox)

Solving
15glo = 7glo + -4glox

Solving for variable 'g'.

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

Add '-7glo' to each side of the equation.
15glo + -7glo = 7glo + -7glo + -4glox

Combine like terms: 15glo + -7glo = 8glo
8glo = 7glo + -7glo + -4glox

Combine like terms: 7glo + -7glo = 0
8glo = 0 + -4glox
8glo = -4glox

Add '4glox' to each side of the equation.
8glo + 4glox = -4glox + 4glox

Combine like terms: -4glox + 4glox = 0
8glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '4glo'.
4glo(2 + 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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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