ln(5.62)=ln(a)+(b)ln(8)

Solution for ln(5.62)=ln(a)+(b)ln(8) equation:

Simplifying
ln(5.62) = ln(a) + (b) * ln(8)

Reorder the terms for easier multiplication:
5.62ln = ln(a) + (b) * ln(8)

Multiply ln * a
5.62ln = aln + (b) * ln(8)

Reorder the terms for easier multiplication:
5.62ln = aln + 8b * ln

Multiply b * ln
5.62ln = aln + 8bln

Solving
5.62ln = aln + 8bln

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 + 5.62ln = aln + -1aln + 8bln

Combine like terms: aln + -1aln = 0
-1aln + 5.62ln = 0 + 8bln
-1aln + 5.62ln = 8bln

Add '-8bln' to each side of the equation.
-1aln + -8bln + 5.62ln = 8bln + -8bln

Combine like terms: 8bln + -8bln = 0
-1aln + -8bln + 5.62ln = 0

The solution to this equation could not be determined.