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

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


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

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

Reorder the terms for easier multiplication:
lnx = 5ln + ln(x + -1)

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

Combine like terms: 5ln + -1ln = 4ln
lnx = 4ln + lnx

Add '-1lnx' to each side of the equation.
lnx + -1lnx = 4ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 = 4ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 = 4ln + 0
0 = 4ln

Solving
0 = 4ln

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
0 + -4ln = 4ln + -4ln
Remove the zero:
-4ln = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
-4ln = 0

Divide each side by '-4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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