-5ln(x)=23ln(x-1)

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Solution for -5ln(x)=23ln(x-1) equation: 


Simplifying
-5ln(x) = 23ln(x + -1)

Multiply ln * x
-5lnx = 23ln(x + -1)

Reorder the terms:
-5lnx = 23ln(-1 + x)
-5lnx = (-1 * 23ln + x * 23ln)
-5lnx = (-23ln + 23lnx)

Solving
-5lnx = -23ln + 23lnx

Solving for variable 'l'.

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

Add '23ln' to each side of the equation.
23ln + -5lnx = -23ln + 23ln + 23lnx

Combine like terms: -23ln + 23ln = 0
23ln + -5lnx = 0 + 23lnx
23ln + -5lnx = 23lnx

Add '-23lnx' to each side of the equation.
23ln + -5lnx + -23lnx = 23lnx + -23lnx

Combine like terms: -5lnx + -23lnx = -28lnx
23ln + -28lnx = 23lnx + -23lnx

Combine like terms: 23lnx + -23lnx = 0
23ln + -28lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(23 + -28x) = 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 '(23 + -28x)' equal to zero and attempt to solve:

Simplifying
23 + -28x = 0

Solving
23 + -28x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -28x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -28x = 0 + -23
-28x = 0 + -23

Combine like terms: 0 + -23 = -23
-28x = -23

Add '28x' to each side of the equation.
-28x + 28x = -23 + 28x

Combine like terms: -28x + 28x = 0
0 = -23 + 28x

Simplifying
0 = -23 + 28x

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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