ln(.666)=ln(a)+k*ln(.05)

Solution for ln(.666)=ln(a)+k*ln(.05) equation:

Simplifying
ln(0.666) = ln(a) + k * ln(0.05)

Reorder the terms for easier multiplication:
0.666ln = ln(a) + k * ln(0.05)

Multiply ln * a
0.666ln = aln + k * ln(0.05)

Reorder the terms for easier multiplication:
0.666ln = aln + 0.05k * ln

Multiply k * ln
0.666ln = aln + 0.05kln

Solving
0.666ln = aln + 0.05kln

Solving for variable 'l'.

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

Add '-1aln' to each side of the equation.
-1aln + 0.666ln = aln + -1aln + 0.05kln

Combine like terms: aln + -1aln = 0
-1aln + 0.666ln = 0 + 0.05kln
-1aln + 0.666ln = 0.05kln

Add '-0.05kln' to each side of the equation.
-1aln + -0.05kln + 0.666ln = 0.05kln + -0.05kln

Combine like terms: 0.05kln + -0.05kln = 0.00
-1aln + -0.05kln + 0.666ln = 0.00

The solution to this equation could not be determined.