ln(x+2)=ln(5)+ln(x)

Solution for ln(x+2)=ln(5)+ln(x) equation:

Simplifying
ln(x + 2) = ln(5) + ln(x)

Reorder the terms:
ln(2 + x) = ln(5) + ln(x)
(2 * ln + x * ln) = ln(5) + ln(x)
(2ln + lnx) = ln(5) + ln(x)

Reorder the terms for easier multiplication:
2ln + lnx = 5ln + ln(x)

Multiply ln * x
2ln + lnx = 5ln + lnx

Add '-1lnx' to each side of the equation.
2ln + lnx + -1lnx = 5ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + 0 = 5ln + lnx + -1lnx
2ln = 5ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln = 5ln + 0
2ln = 5ln

Solving
2ln = 5ln

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
2ln + -5ln = 5ln + -5ln

Combine like terms: 2ln + -5ln = -3ln
-3ln = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
-3ln = 0

Divide each side by '-3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.