ln(2x)+ln(5x)=ln(360)

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Solution for ln(2x)+ln(5x)=ln(360) equation: 


Simplifying
ln(2x) + ln(5x) = ln(360)

Remove parenthesis around (2x)
ln * 2x + ln(5x) = ln(360)

Reorder the terms for easier multiplication:
2ln * x + ln(5x) = ln(360)

Multiply ln * x
2lnx + ln(5x) = ln(360)

Remove parenthesis around (5x)
2lnx + ln * 5x = ln(360)

Reorder the terms for easier multiplication:
2lnx + 5ln * x = ln(360)

Multiply ln * x
2lnx + 5lnx = ln(360)

Combine like terms: 2lnx + 5lnx = 7lnx
7lnx = ln(360)

Reorder the terms for easier multiplication:
7lnx = 360ln

Solving
7lnx = 360ln

Solving for variable 'l'.

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

Add '-360ln' to each side of the equation.
-360ln + 7lnx = 360ln + -360ln

Combine like terms: 360ln + -360ln = 0
-360ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-360 + 7x) = 0


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 '(-360 + 7x)' equal to zero and attempt to solve:

Simplifying
-360 + 7x = 0

Solving
-360 + 7x = 0

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

Add '360' to each side of the equation.
-360 + 360 + 7x = 0 + 360

Combine like terms: -360 + 360 = 0
0 + 7x = 0 + 360
7x = 0 + 360

Combine like terms: 0 + 360 = 360
7x = 360

Add '-7x' to each side of the equation.
7x + -7x = 360 + -7x

Combine like terms: 7x + -7x = 0
0 = 360 + -7x

Simplifying
0 = 360 + -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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