anonymous one year ago why does 2 log9 turns into 3 log4

1. anonymous

sorry i meant turn into 4log 3

2. jameshorton

$$\large a \ log x = log \ x^a$$ $$\large (a \times \ b) \ log \ x = \log \ x^{a \times b} = b \ log \ x^a = a \ log \ x^b$$ so $$\large 2 \ log \ 9 = 2 \ log \ 3^2 = 4 \ log \ 3 \ \ [= log \ 3^4 = log \ 81]$$