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

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


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

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

Reorder the terms for easier multiplication:
2ln + 2lnx = 25ln

Solving
2ln + 2lnx = 25ln

Solving for variable 'l'.

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

Add '-25ln' to each side of the equation.
2ln + -25ln + 2lnx = 25ln + -25ln

Combine like terms: 2ln + -25ln = -23ln
-23ln + 2lnx = 25ln + -25ln

Combine like terms: 25ln + -25ln = 0
-23ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-23 + 2x) = 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 '(-23 + 2x)' equal to zero and attempt to solve:

Simplifying
-23 + 2x = 0

Solving
-23 + 2x = 0

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

Add '23' to each side of the equation.
-23 + 23 + 2x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 2x = 0 + 23
2x = 0 + 23

Combine like terms: 0 + 23 = 23
2x = 23

Add '-2x' to each side of the equation.
2x + -2x = 23 + -2x

Combine like terms: 2x + -2x = 0
0 = 23 + -2x

Simplifying
0 = 23 + -2x

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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