Question

How do you prove `-4log3 + log 3 = log(1/27)`?

Answer 1

`-4log3+log3=log(1/27)`

Explanation:

`-4log3+log3=log(1/27)`
`LHS:-4 log3+log3`
`=-3log3`
`=log 3 ^-3`-> use property `log_bx^n=n*log_bx`
`=log(1/3^3)`-> use property `x^-n=1/x^n`
`=log (1/27)`
`=RHS`