SOLUTION: http://i.imgur.com/Jt0RFW9.png Find the value. log[9] 1/3 Have no idea how to solve this without a calculator, could use some help!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: http://i.imgur.com/Jt0RFW9.png Find the value. log[9] 1/3 Have no idea how to solve this without a calculator, could use some help!      Log On


   

Question 809937: http://i.imgur.com/Jt0RFW9.png
Find the value.
log[9] 1/3


Have no idea how to solve this without a calculator, could use some help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log[9] 1/3 = log(1/3)/log(9)

log[9] 1/3 = log(3^(-1))/log(3^2)

log[9] 1/3 = -1*log(3)/[2*log(3)]

log[9] 1/3 = -1/2