3ln(x-5)=ln(35-x^3)

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Solution for 3ln(x-5)=ln(35-x^3) equation: 


Simplifying
3ln(x + -5) = ln(35 + -1x3)

Reorder the terms:
3ln(-5 + x) = ln(35 + -1x3)
(-5 * 3ln + x * 3ln) = ln(35 + -1x3)
(-15ln + 3lnx) = ln(35 + -1x3)
-15ln + 3lnx = (35 * ln + -1x3 * ln)
-15ln + 3lnx = (35ln + -1lnx3)

Solving
-15ln + 3lnx = 35ln + -1lnx3

Solving for variable 'l'.

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

Add '-35ln' to each side of the equation.
-15ln + -35ln + 3lnx = 35ln + -35ln + -1lnx3

Combine like terms: -15ln + -35ln = -50ln
-50ln + 3lnx = 35ln + -35ln + -1lnx3

Combine like terms: 35ln + -35ln = 0
-50ln + 3lnx = 0 + -1lnx3
-50ln + 3lnx = -1lnx3

Add 'lnx3' to each side of the equation.
-50ln + 3lnx + lnx3 = -1lnx3 + lnx3

Combine like terms: -1lnx3 + lnx3 = 0
-50ln + 3lnx + lnx3 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-50 + 3x + x3) = 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 '(-50 + 3x + x3)' equal to zero and attempt to solve:

Simplifying
-50 + 3x + x3 = 0

Solving
-50 + 3x + x3 = 0

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

Add '50' to each side of the equation.
-50 + 3x + 50 + x3 = 0 + 50

Reorder the terms:
-50 + 50 + 3x + x3 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 3x + x3 = 0 + 50
3x + x3 = 0 + 50

Combine like terms: 0 + 50 = 50
3x + x3 = 50

Add '-3x' to each side of the equation.
3x + -3x + x3 = 50 + -3x

Combine like terms: 3x + -3x = 0
0 + x3 = 50 + -3x
x3 = 50 + -3x

Add '-1x3' to each side of the equation.
x3 + -1x3 = 50 + -3x + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 50 + -3x + -1x3

Simplifying
0 = 50 + -3x + -1x3

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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