Log(3x+1)-log(5x+1)=0

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Solution for Log(3x+1)-log(5x+1)=0 equation: 


Simplifying
Log(3x + 1) + -1log(5x + 1) = 0

Reorder the terms:
goL(1 + 3x) + -1log(5x + 1) = 0
(1 * goL + 3x * goL) + -1log(5x + 1) = 0
(1goL + 3goxL) + -1log(5x + 1) = 0

Reorder the terms:
1goL + 3goxL + -1glo(1 + 5x) = 0
1goL + 3goxL + (1 * -1glo + 5x * -1glo) = 0
1goL + 3goxL + (-1glo + -5glox) = 0

Reorder the terms:
-1glo + -5glox + 1goL + 3goxL = 0

Solving
-1glo + -5glox + 1goL + 3goxL = 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), 'go'.
go(-1l + -5lx + L + 3xL) = 0


Subproblem 1
Set the factor 'go' equal to zero and attempt to solve:

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(-1l + -5lx + L + 3xL)' equal to zero and attempt to solve:

Simplifying
-1l + -5lx + L + 3xL = 0

Reorder the terms:
L + -1l + -5lx + 3xL = 0

Solving
L + -1l + -5lx + 3xL = 0

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

Add '-1L' to each side of the equation.
L + -1l + -5lx + -1L + 3xL = 0 + -1L

Reorder the terms:
L + -1L + -1l + -5lx + 3xL = 0 + -1L

Combine like terms: L + -1L = 0
0 + -1l + -5lx + 3xL = 0 + -1L
-1l + -5lx + 3xL = 0 + -1L
Remove the zero:
-1l + -5lx + 3xL = -1L

Add 'l' to each side of the equation.
-1l + -5lx + l + 3xL = -1L + l

Reorder the terms:
-1l + l + -5lx + 3xL = -1L + l

Combine like terms: -1l + l = 0
0 + -5lx + 3xL = -1L + l
-5lx + 3xL = -1L + l

Add '5lx' to each side of the equation.
-5lx + 5lx + 3xL = -1L + l + 5lx

Combine like terms: -5lx + 5lx = 0
0 + 3xL = -1L + l + 5lx
3xL = -1L + l + 5lx

Add '-3xL' to each side of the equation.
3xL + -3xL = -1L + l + 5lx + -3xL

Combine like terms: 3xL + -3xL = 0
0 = -1L + l + 5lx + -3xL

Simplifying
0 = -1L + l + 5lx + -3xL

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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