ln(4)+ln(x-1)=ln(17)

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Solution for ln(4)+ln(x-1)=ln(17) equation: 


Simplifying
ln(4) + ln(x + -1) = ln(17)

Reorder the terms for easier multiplication:
4ln + ln(x + -1) = ln(17)

Reorder the terms:
4ln + ln(-1 + x) = ln(17)
4ln + (-1 * ln + x * ln) = ln(17)
4ln + (-1ln + lnx) = ln(17)

Combine like terms: 4ln + -1ln = 3ln
3ln + lnx = ln(17)

Reorder the terms for easier multiplication:
3ln + lnx = 17ln

Solving
3ln + lnx = 17ln

Solving for variable 'l'.

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

Add '-17ln' to each side of the equation.
3ln + -17ln + lnx = 17ln + -17ln

Combine like terms: 3ln + -17ln = -14ln
-14ln + lnx = 17ln + -17ln

Combine like terms: 17ln + -17ln = 0
-14ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-14 + x) = 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 '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Add '-1x' to each side of the equation.
x + -1x = 14 + -1x

Combine like terms: x + -1x = 0
0 = 14 + -1x

Simplifying
0 = 14 + -1x

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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