lnx+ln(20)=3ln(5)

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Solution for lnx+ln(20)=3ln(5) equation: 


Simplifying
lnx + ln(20) = 3ln(5)

Reorder the terms for easier multiplication:
lnx + 20ln = 3ln(5)

Reorder the terms:
20ln + lnx = 3ln(5)

Reorder the terms for easier multiplication:
20ln + lnx = 3 * 5ln

Multiply 3 * 5
20ln + lnx = 15ln

Solving
20ln + lnx = 15ln

Solving for variable 'l'.

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

Add '-15ln' to each side of the equation.
20ln + -15ln + lnx = 15ln + -15ln

Combine like terms: 20ln + -15ln = 5ln
5ln + lnx = 15ln + -15ln

Combine like terms: 15ln + -15ln = 0
5ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(5 + x) = 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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Add '-1x' to each side of the equation.
x + -1x = -5 + -1x

Combine like terms: x + -1x = 0
0 = -5 + -1x

Simplifying
0 = -5 + -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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