Ln(3)+ln(2)=ln(x)

Solution for Ln(3)+ln(2)=ln(x) equation:

Simplifying
Ln(3) + ln(2) = ln(x)

Reorder the terms for easier multiplication:
3nL + ln(2) = ln(x)

Reorder the terms for easier multiplication:
3nL + 2ln = ln(x)

Reorder the terms:
2ln + 3nL = ln(x)

Multiply ln * x
2ln + 3nL = lnx

Solving
2ln + 3nL = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
2ln + -1lnx + 3nL = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + -1lnx + 3nL = 0

Add '-3nL' to each side of the equation.
2ln + -1lnx + 3nL + -3nL = 0 + -3nL

Combine like terms: 3nL + -3nL = 0
2ln + -1lnx + 0 = 0 + -3nL
2ln + -1lnx = 0 + -3nL
Remove the zero:
2ln + -1lnx = -3nL

Combine like terms: -3nL + 3nL = 0
2ln + -1lnx + 3nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(2l + -1lx + 3L) = 0

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

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(2l + -1lx + 3L)' equal to zero and attempt to solve:

Simplifying
2l + -1lx + 3L = 0

Reorder the terms:
3L + 2l + -1lx = 0

Solving
3L + 2l + -1lx = 0

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

Add '-3L' to each side of the equation.
3L + 2l + -3L + -1lx = 0 + -3L

Reorder the terms:
3L + -3L + 2l + -1lx = 0 + -3L

Combine like terms: 3L + -3L = 0
0 + 2l + -1lx = 0 + -3L
2l + -1lx = 0 + -3L
Remove the zero:
2l + -1lx = -3L

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.