Ln(5)+ln(2)=ln(x)

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Solution for Ln(5)+ln(2)=ln(x) equation: 


Simplifying
Ln(5) + ln(2) = ln(x)

Reorder the terms for easier multiplication:
5nL + ln(2) = ln(x)

Reorder the terms for easier multiplication:
5nL + 2ln = ln(x)

Reorder the terms:
2ln + 5nL = ln(x)

Multiply ln * x
2ln + 5nL = lnx

Solving
2ln + 5nL = 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 + 5nL = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + -1lnx + 5nL = 0

Add '-5nL' to each side of the equation.
2ln + -1lnx + 5nL + -5nL = 0 + -5nL

Combine like terms: 5nL + -5nL = 0
2ln + -1lnx + 0 = 0 + -5nL
2ln + -1lnx = 0 + -5nL
Remove the zero:
2ln + -1lnx = -5nL

Combine like terms: -5nL + 5nL = 0
2ln + -1lnx + 5nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(2l + -1lx + 5L) = 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 + 5L)' equal to zero and attempt to solve:

Simplifying
2l + -1lx + 5L = 0

Reorder the terms:
5L + 2l + -1lx = 0

Solving
5L + 2l + -1lx = 0

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

Add '-5L' to each side of the equation.
5L + 2l + -5L + -1lx = 0 + -5L

Reorder the terms:
5L + -5L + 2l + -1lx = 0 + -5L

Combine like terms: 5L + -5L = 0
0 + 2l + -1lx = 0 + -5L
2l + -1lx = 0 + -5L
Remove the zero:
2l + -1lx = -5L

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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