Ln(7x)=ln(8)

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Solution for Ln(7x)=ln(8) equation: 


Simplifying
Ln(7x) = ln(8)

Remove parenthesis around (7x)
nL * 7x = ln(8)

Reorder the terms for easier multiplication:
7nL * x = ln(8)

Multiply nL * x
7nxL = ln(8)

Reorder the terms for easier multiplication:
7nxL = 8ln

Solving
7nxL = 8ln

Solving for variable 'n'.

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

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

Combine like terms: 8ln + -8ln = 0
-8ln + 7nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8l + 7xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-8l + 7xL)' equal to zero and attempt to solve:

Simplifying
-8l + 7xL = 0

Solving
-8l + 7xL = 0

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

Add '8l' to each side of the equation.
-8l + 8l + 7xL = 0 + 8l

Combine like terms: -8l + 8l = 0
0 + 7xL = 0 + 8l
7xL = 0 + 8l
Remove the zero:
7xL = 8l

Add '-7xL' to each side of the equation.
7xL + -7xL = 8l + -7xL

Combine like terms: 7xL + -7xL = 0
0 = 8l + -7xL

Simplifying
0 = 8l + -7xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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