Rules of Logarithms?

Question

Use rules of logarithms to write each log in terms of a and b if In2 = a and In3 = b.

(1) In 27

(2) In fourth root of {2/3}

Answer 1

Question 1
ln 27 = ln ( 3 ³ ) = 3 ln 3 = 3 b

Question 2
ln [ (2/3)^(1/4) ]
(1/4) [ ln 2 - ln 3 ]
(1/4) [ a - b ]

Answer 2

once you assert log(32)sixty 4 is that incredibly log32 x sixty 4? the regulations of logarithms I learnt have been: Log A + Log B = Log AB Log A - Log B = Log A/B Log A^B = blog A So i think the top results of log(32)sixty 4 from log(4)sixty 4 and log(8)sixty 4 is utilising the 1st rule. because of the fact 4 x 8 = 32.