2*ln(x+1)=4*ln(5)

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Solution for 2*ln(x+1)=4*ln(5) equation: 


Simplifying
2ln(x + 1) = 4ln(5)

Reorder the terms:
2ln(1 + x) = 4ln(5)
(1 * 2ln + x * 2ln) = 4ln(5)
(2ln + 2lnx) = 4ln(5)

Reorder the terms for easier multiplication:
2ln + 2lnx = 4 * 5ln

Multiply 4 * 5
2ln + 2lnx = 20ln

Solving
2ln + 2lnx = 20ln

Solving for variable 'l'.

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

Add '-20ln' to each side of the equation.
2ln + -20ln + 2lnx = 20ln + -20ln

Combine like terms: 2ln + -20ln = -18ln
-18ln + 2lnx = 20ln + -20ln

Combine like terms: 20ln + -20ln = 0
-18ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-9 + x) = 0

Ignore the factor 2.

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 '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

Add '9' to each side of the equation.
-9 + 9 + x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + x = 0 + 9
x = 0 + 9

Combine like terms: 0 + 9 = 9
x = 9

Add '-1x' to each side of the equation.
x + -1x = 9 + -1x

Combine like terms: x + -1x = 0
0 = 9 + -1x

Simplifying
0 = 9 + -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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