ln(21x+3)=ln(15)

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Solution for ln(21x+3)=ln(15) equation: 


Simplifying
ln(21x + 3) = ln(15)

Reorder the terms:
ln(3 + 21x) = ln(15)
(3 * ln + 21x * ln) = ln(15)
(3ln + 21lnx) = ln(15)

Reorder the terms for easier multiplication:
3ln + 21lnx = 15ln

Solving
3ln + 21lnx = 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.
3ln + -15ln + 21lnx = 15ln + -15ln

Combine like terms: 3ln + -15ln = -12ln
-12ln + 21lnx = 15ln + -15ln

Combine like terms: 15ln + -15ln = 0
-12ln + 21lnx = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(-4 + 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 '(-4 + 7x)' equal to zero and attempt to solve:

Simplifying
-4 + 7x = 0

Solving
-4 + 7x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 0 + 4
7x = 0 + 4

Combine like terms: 0 + 4 = 4
7x = 4

Add '-7x' to each side of the equation.
7x + -7x = 4 + -7x

Combine like terms: 7x + -7x = 0
0 = 4 + -7x

Simplifying
0 = 4 + -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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