ln(21x-7)=ln(8)

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Solution for ln(21x-7)=ln(8) equation: 


Simplifying
ln(21x + -7) = ln(8)

Reorder the terms:
ln(-7 + 21x) = ln(8)
(-7 * ln + 21x * ln) = ln(8)
(-7ln + 21lnx) = ln(8)

Reorder the terms for easier multiplication:
-7ln + 21lnx = 8ln

Solving
-7ln + 21lnx = 8ln

Solving for variable 'l'.

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

Add '-8ln' to each side of the equation.
-7ln + -8ln + 21lnx = 8ln + -8ln

Combine like terms: -7ln + -8ln = -15ln
-15ln + 21lnx = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-15ln + 21lnx = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(-5 + 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 '(-5 + 7x)' equal to zero and attempt to solve:

Simplifying
-5 + 7x = 0

Solving
-5 + 7x = 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 + 7x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 0 + 5
7x = 0 + 5

Combine like terms: 0 + 5 = 5
7x = 5

Add '-7x' to each side of the equation.
7x + -7x = 5 + -7x

Combine like terms: 7x + -7x = 0
0 = 5 + -7x

Simplifying
0 = 5 + -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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