ln*(21*x+4)=ln*10

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Solution for ln*(21*x+4)=ln*10 equation: 


Simplifying
ln(21x + 4) = ln * 10

Reorder the terms:
ln(4 + 21x) = ln * 10
(4 * ln + 21x * ln) = ln * 10
(4ln + 21lnx) = ln * 10

Reorder the terms for easier multiplication:
4ln + 21lnx = 10ln

Solving
4ln + 21lnx = 10ln

Solving for variable 'l'.

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

Add '-10ln' to each side of the equation.
4ln + -10ln + 21lnx = 10ln + -10ln

Combine like terms: 4ln + -10ln = -6ln
-6ln + 21lnx = 10ln + -10ln

Combine like terms: 10ln + -10ln = 0
-6ln + 21lnx = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(-2 + 7x) = 0

Ignore the factor 3.

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 '(-2 + 7x)' equal to zero and attempt to solve:

Simplifying
-2 + 7x = 0

Solving
-2 + 7x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 0 + 2
7x = 0 + 2

Combine like terms: 0 + 2 = 2
7x = 2

Add '-7x' to each side of the equation.
7x + -7x = 2 + -7x

Combine like terms: 7x + -7x = 0
0 = 2 + -7x

Simplifying
0 = 2 + -7x

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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