Question

What is the logarithmic function modeled by the following table...?

Answer 1

x f(x)
9 2
27 3
81 4

Answer 2

\[f(x)=\log _{x}^3\]

Answer 3

\[f(x)=3\log _{10}^{x}\]

Answer 4

\[f(x)=xlog _{10^{3}}\]

Answer 5

Hi,
the answer is
\[f(x) = \log _{3}x\]
Do u need explanation ?

Answer 6

Kind of...

Answer 7

I have a few more questions as well

Answer 8

so...
do u know about the logarithmic rule...
\[\log _{a }a = 1\]

Answer 9

If Ken wanted to create a function that modeled a base of 11 and what exponents were needed to reach specific values, how would he set up his function?
\[a. f(x)=11^x\]
\[b. f(x)=11^x\]
\[c. f(x)=\log _{11}^{x}\]
\[d. f(x)=\log _{x}^{11}\]

Answer 10

Yes I know the rule

Answer 11

soo...
in ur problem ...
they ask to get 2 as the result if u enter 9 for the function...
if the function is....
\[f(x) = \log _{3}x\]
then f(9) is....\[f(9) = \log _{3}9= \log _{3}3^{2}\]

now there is an another logarithmic rule...
\[\log _{a}a ^{x} = xlog _{a}a = x\]

according to that u can write...
\[\log _{3}3^{2} = 2\log _{3}3 = 2\]

which will give u the result needed...
did u get it ?

Answer 12

For ur second part ... my knowledge about exponents is not good enough.. so I suugest u to take the help of someone like @mathstudent55 , @ganeshie8 , @e.mccormick , @TuringTest