ln(25x+1)-ln(x+2)=0

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Solution for ln(25x+1)-ln(x+2)=0 equation: 


Simplifying
ln(25x + 1) + -1ln(x + 2) = 0

Reorder the terms:
ln(1 + 25x) + -1ln(x + 2) = 0
(1 * ln + 25x * ln) + -1ln(x + 2) = 0
(1ln + 25lnx) + -1ln(x + 2) = 0

Reorder the terms:
1ln + 25lnx + -1ln(2 + x) = 0
1ln + 25lnx + (2 * -1ln + x * -1ln) = 0
1ln + 25lnx + (-2ln + -1lnx) = 0

Reorder the terms:
1ln + -2ln + 25lnx + -1lnx = 0

Combine like terms: 1ln + -2ln = -1ln
-1ln + 25lnx + -1lnx = 0

Combine like terms: 25lnx + -1lnx = 24lnx
-1ln + 24lnx = 0

Solving
-1ln + 24lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + 24x) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(-1 + 24x)' equal to zero and attempt to solve:

Simplifying
-1 + 24x = 0

Solving
-1 + 24x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 24x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 24x = 0 + 1
24x = 0 + 1

Combine like terms: 0 + 1 = 1
24x = 1

Add '-24x' to each side of the equation.
24x + -24x = 1 + -24x

Combine like terms: 24x + -24x = 0
0 = 1 + -24x

Simplifying
0 = 1 + -24x

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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