ln(1-2k)=ln(21)

Solution for ln(1-2k)=ln(21) equation:

Simplifying
ln(1 + -2k) = ln(21)
(1 * ln + -2k * ln) = ln(21)

Reorder the terms:
(-2kln + 1ln) = ln(21)
(-2kln + 1ln) = ln(21)

Reorder the terms for easier multiplication:
-2kln + 1ln = 21ln

Solving
-2kln + 1ln = 21ln

Solving for variable 'k'.

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

Add '-1ln' to each side of the equation.
-2kln + 1ln + -1ln = 21ln + -1ln

Combine like terms: 1ln + -1ln = 0
-2kln + 0 = 21ln + -1ln
-2kln = 21ln + -1ln

Combine like terms: 21ln + -1ln = 20ln
-2kln = 20ln

Divide each side by '-2ln'.
k = -10

Simplifying
k = -10