Question

Help me please! I will fan and medal!

Answer 1

Explain how to create the exponential function that represents his run-scoring abilities. Then explain how to convert this function into a logarithmic function and why this can help the manager answer his question.


Season - Run
1 - 3
2- 9
3 - 27

Explain how to create the exponential function that represents his run-scoring abilities. Then explain how to convert this function into a logarithmic function and why this can help the manager answer his question.

Answer 2

Hey! Sorry to bother you once again! This is my last one ;v; @amistre64

Answer 3

define the points

Answer 4

what do you mean? like 3^1 3^2 3^3 ??

Answer 5

A r^1 = 3
A r^2 = 9
A r^3 = 27

A = 3/r

3 r^2/r = 9

r = 3 seems fair, so A =1

Answer 6

f(x) = 3^x defines the point right?

Answer 7

yes! Would that be our expoential function??

Answer 8

you tell me ...

Answer 9

That would be it. using this exponential function we would get 3^5 = 243 runs! But the question asks how to turn this into a logarithmic function and how will it help anwser his question. Would it be [\log _{3}243 = 5 \] ? @amistre64

Answer 10

log both sides yes

Answer 11

\[\log _{3} 243 = 5 \]

Answer 12

y = 3^x

log(y) = x log(3)

x = log(y)/log(3) which is change of base for log_3 (y)

Answer 13

by tradition we would write it as

y = log_3 (x) of course

Answer 14

yes! But we bring the x over so it would be y= x log 3 ?? I got completely lost by the second part I'm so sorry ;0;

Answer 15

log(y) = x log(3)

or if you just want to log_3 it now its fine ...

log_3(y) = x

Answer 16

in higher courses, you only use log(x) define as the natural log ... since all logs can be written in a natural log form

Answer 17

Gotcha! so in log form, just to be clear, we would have y = log_3(x) ? I just switched around what you gave me I'm sorry

Answer 18

yep, thats fine

Answer 19

Thank you so much! For the last part I have: This function will help the manager figure out when his baseball player will score 243 runs. Is that fine? @amistre64

Answer 20

Is it okay if I can send you my whole response later to make sure everything is correct??

Answer 21

wordiness is not my strong point.

technically its wont tell him anything concrete, its a model that may be used to make predictions, but how accurate it is for any great span of interval is simply unknown.

Answer 22

just becasue we fit a function to a few points doesnt guarentee us anything in the long run

Answer 23

That seems great already!! I'll make sure to use that! And I see what you mean about the function. Luckily this is not being applied anywhere!! haha

Answer 24

its practice :) nothing more .. goodluck

Answer 25

Thank you so so much!! You're honestly a blessing omg Thank you ;v;!! @amistre64

Answer 26

youre welcome