Question

Convert the given function into a logarithmic function f(x)=2.01e^(0.14x)

Answer 1

maybe the question is "find the inverse" ?

Answer 2

i got this far ..
y=2.01e^(0.14x)
y/2.01= 2.01e^(0.14x)/2.01

In y/2.01=in e^(0.14x)

Answer 3

its not ..

Answer 4

but that is what you are finding right?

Answer 5

no, im converting f(x)=2.01e^(0.14x) into log form

Answer 6

?

Answer 7

\[f(x)=2.01e^{0.14x}\]
\[y=2.01e^{0.14x}\]
\[\frac{y}{2.01}=e^{0.14x}\]
\[0.14x=\ln(\frac{y}{2.01})\]
\[x=\frac{1}{0.14}\ln(\frac{y}{2.01})\] but that is a completely different function, it is the inverse

Answer 8

Convert the given function into a logarithmic function (hint: think BNE BEN).
Check out an example.
f(x)
=
106.16e(-0.73x)

y
=
106.16e(-0.73x)

y over one hundred six point 16
=
e(-0.73x)

In y over one hundred six point 16
=
In e(-0.73x)

In y - In 106.16
=
In e-0.73x

In y
=
In e-0.73x+ 4.66

In y
=
-0.73x+4.66

Answer 9

seee its not inverse , omg this is so confusing ..

Answer 10

ok your function is \(f(x)\) and then you replace \(f\) by \(y\) so when you change it you do not have \(f\) anymore but some other function

Answer 11

okay so can you show me how to change
y=2.01e^(0.14x) into a logarithmic function ?

Answer 12

i guess you have the log of your original function
i hate to keep repeating myself, but here \(y\) is an exponential function, it is not a logarithmic one
you can find \(\ln(y)\) if you like

Answer 13

we can run through the steps like in the previous example i think

Answer 14

is In the same thing as y but in log form instead of exponential form ? .. idek what In is ,,

Answer 15

start with
\[y=2.01e^{0.14x}\] divide by 2.01 get
\[\frac{y}{2.01}=e^{0.14x}\] take the log get
\[\ln(\frac{y}{2.01})=0.14x\] rewrite the left hand side as
\[\ln(y)-\ln(20.1)=0.14x\] use a calculator to find \(\ln(2.01)=.698\) to to get
\[\ln(y)-.698=0.14x\] and finally write
\[\ln(y)=0.14x+.698\]

Answer 16

but at the risk of repeating myself, this is not \(y\) on the left, but it is \(\ln(y)\)
not the same function, but rather the log of the original function
that is what your example found

Answer 17

oh, okay . i get it now! can you help me with one more thing pleaseeee ?

Answer 18

sure

Answer 19

okay well its like an activity and i had to use coins,
and i did 7 trials and counted how many landed on heads
and how many were on tails each time ,
i had to graph them by using the trial number as x.
and the number of ones in the heads column as the y .
i got (1,2) (2,3) (3,3) (4,6) (5,2) (6,2) (7,5)
and then i had to Convert the given function into a logarithmic function which we already did :)
but now ...i have to
describe what the logarithmic graph will look like...which idfk how to do and
Write a half-life function based on your data.

Answer 20

wow you really lost me on this one but maybe we can figure it out

Answer 21

what does this mean
(1,2) (2,3) (3,3) (4,6) (5,2) (6,2) (7,5)

Answer 22

i mean if you have a log function maybe you can find the half life, but i am rather confused

Answer 23

those are the points i had to graph, the x intercepts at the trials 1,2,3,4,5,6,7 & the y intercepts are the amout of time the quarter landed on heads for each trial

Answer 24

the x intercepts are *

Answer 25

still lost
how can a coin land heads more than once on a trial?

Answer 26

i used 8 coins

Answer 27

oh, that makes more sense

Answer 28

so how do i describe what the logarithmic graph will look like...and Write a half-life function based on that data.

Answer 29

i don't even know how to get a log function out of this
try reposting the problem with only that question
you will get a better answer than i can give

Answer 30

what log function did you get?

Answer 31

In(y)=0.14x+.698