log(5x+7)-log(x)=

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Solution for log(5x+7)-log(x)= equation: 


Simplifying
log(5x + 7) + -1log(x) = 0

Reorder the terms:
glo(7 + 5x) + -1log(x) = 0
(7 * glo + 5x * glo) + -1log(x) = 0
(7glo + 5glox) + -1log(x) = 0

Multiply glo * x
7glo + 5glox + -1glox = 0

Combine like terms: 5glox + -1glox = 4glox
7glo + 4glox = 0

Solving
7glo + 4glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(7 + 4x) = 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 '(7 + 4x)' equal to zero and attempt to solve:

Simplifying
7 + 4x = 0

Solving
7 + 4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 0 + -7
4x = 0 + -7

Combine like terms: 0 + -7 = -7
4x = -7

Add '-4x' to each side of the equation.
4x + -4x = -7 + -4x

Combine like terms: 4x + -4x = 0
0 = -7 + -4x

Simplifying
0 = -7 + -4x

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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