Question

Evaluate the logarithm
log[3]1/9

Answer 1

your job is to answer
\[3^x=\frac{1}{9}\]

Answer 2

if you can answer this, you can solve the problem. otherwise you are stuck more or less

Answer 3

so is this possible?

Answer 4

x=-2

;)

Answer 5

hipster will give you a hint. he (she) is fond of them...

Answer 6

hahahahahaa this is true.

the answer lies on the interval (-1,1)

Answer 7

cough, 0. cough

Answer 8

actually if you have a calculator and wish to cheat (aka not think) i can show you how to get the answer. it is what i would do

Answer 9

do show us, satellite.

Answer 10

okay

Answer 11

got a calculator handy? we will find the answer (-2) quickly but first lets be clear. the answer is -2 because
\[3^{-2}=\frac{1}{3^2}=\frac{1}{9}\] that is how you are "supposed to do it"

Answer 12

now get out your fancy ti 83 and type in
\[\log(1\div 9)\div \log(3)\] and out will pop -2

Answer 13

thanks

Answer 14

so if you wish to cheat your teacher and find
\[\log_4(\frac{1}{8})\] without saying
\[4^{\frac{3}{2}}=8\] then just plug in
\[\log(1\div8)\div \log(4)\] and out will pop
\[\frac{3}{2}\] try it!

Answer 15

always happy to help some one do it the easy way.