5ln(x-15)-20=30

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Solution for 5ln(x-15)-20=30 equation: 


Simplifying
5ln(x + -15) + -20 = 30

Reorder the terms:
5ln(-15 + x) + -20 = 30
(-15 * 5ln + x * 5ln) + -20 = 30
(-75ln + 5lnx) + -20 = 30

Reorder the terms:
-20 + -75ln + 5lnx = 30

Solving
-20 + -75ln + 5lnx = 30

Solving for variable 'l'.

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

Add '20' to each side of the equation.
-20 + -75ln + 20 + 5lnx = 30 + 20

Reorder the terms:
-20 + 20 + -75ln + 5lnx = 30 + 20

Combine like terms: -20 + 20 = 0
0 + -75ln + 5lnx = 30 + 20
-75ln + 5lnx = 30 + 20

Combine like terms: 30 + 20 = 50
-75ln + 5lnx = 50

Reorder the terms:
-50 + -75ln + 5lnx = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + -75ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + -15ln + lnx) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-10 + -15ln + lnx)' equal to zero and attempt to solve:

Simplifying
-10 + -15ln + lnx = 0

Solving
-10 + -15ln + lnx = 0

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

Add '10' to each side of the equation.
-10 + -15ln + 10 + lnx = 0 + 10

Reorder the terms:
-10 + 10 + -15ln + lnx = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -15ln + lnx = 0 + 10
-15ln + lnx = 0 + 10

Combine like terms: 0 + 10 = 10
-15ln + lnx = 10

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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