ln(x+20)=ln(3)+ln(x)

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Solution for ln(x+20)=ln(3)+ln(x) equation:


Simplifying
ln(x + 20) = ln(3) + ln(x)

Reorder the terms:
ln(20 + x) = ln(3) + ln(x)
(20 * ln + x * ln) = ln(3) + ln(x)
(20ln + lnx) = ln(3) + ln(x)

Reorder the terms for easier multiplication:
20ln + lnx = 3ln + ln(x)

Multiply ln * x
20ln + lnx = 3ln + lnx

Add '-1lnx' to each side of the equation.
20ln + lnx + -1lnx = 3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
20ln + 0 = 3ln + lnx + -1lnx
20ln = 3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
20ln = 3ln + 0
20ln = 3ln

Solving
20ln = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
20ln + -3ln = 3ln + -3ln

Combine like terms: 20ln + -3ln = 17ln
17ln = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
17ln = 0

Divide each side by '17'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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