ln(x)-ln(5)=ln(20)

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Solution for ln(x)-ln(5)=ln(20) equation: 


Simplifying
ln(x) + -1ln(5) = ln(20)

Multiply ln * x
lnx + -1ln(5) = ln(20)

Reorder the terms for easier multiplication:
lnx + -1 * 5ln = ln(20)

Multiply -1 * 5
lnx + -5ln = ln(20)

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

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

Solving
-5ln + lnx = 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.
-5ln + -20ln + lnx = 20ln + -20ln

Combine like terms: -5ln + -20ln = -25ln
-25ln + lnx = 20ln + -20ln

Combine like terms: 20ln + -20ln = 0
-25ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-25 + 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 '(-25 + x)' equal to zero and attempt to solve:

Simplifying
-25 + x = 0

Solving
-25 + x = 0

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

Add '25' to each side of the equation.
-25 + 25 + x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + x = 0 + 25
x = 0 + 25

Combine like terms: 0 + 25 = 25
x = 25

Add '-1x' to each side of the equation.
x + -1x = 25 + -1x

Combine like terms: x + -1x = 0
0 = 25 + -1x

Simplifying
0 = 25 + -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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