ln(a+3)+ln(a-3)=ln*16

Solution for ln(a+3)+ln(a-3)=ln*16 equation:

Simplifying
ln(a + 3) + ln(a + -3) = ln * 16

Reorder the terms:
ln(3 + a) + ln(a + -3) = ln * 16
(3 * ln + a * ln) + ln(a + -3) = ln * 16

Reorder the terms:
(aln + 3ln) + ln(a + -3) = ln * 16
(aln + 3ln) + ln(a + -3) = ln * 16

Reorder the terms:
aln + 3ln + ln(-3 + a) = ln * 16
aln + 3ln + (-3 * ln + a * ln) = ln * 16

Reorder the terms:
aln + 3ln + (aln + -3ln) = ln * 16
aln + 3ln + (aln + -3ln) = ln * 16

Reorder the terms:
aln + aln + 3ln + -3ln = ln * 16

Combine like terms: aln + aln = 2aln
2aln + 3ln + -3ln = ln * 16

Combine like terms: 3ln + -3ln = 0
2aln + 0 = ln * 16
2aln = ln * 16

Reorder the terms for easier multiplication:
2aln = 16ln

Solving
2aln = 16ln

Solving for variable 'a'.

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

Divide each side by '2ln'.
a = 8

Simplifying
a = 8