Let a= ln10/9, b= ln25/24, c= ln81/80. Express a, b, c in terms of ln2, ln3, ln5. Then use a 3 X 6 matrix to express ln2, ln3, ln5 in terms of a, b ,c.

Question

Let a= ln10/9, b= ln25/24, c= ln81/80. Express a, b, c in terms of ln2, ln3, ln5. Then use a 3 X 6 matrix to express ln2, ln3, ln5 in terms of a, b ,c.

Answer 1

I'll do a). Then you can follows the pattern

a = ln 10 / 9

a = ln [2 • 5 / 3²]

a = ln 2 + ln 5 - 2 ln 3