Solving 5(2)^t=5000 with TI calculator graphing

[mathzeroh]

ok so the point of this was to solve the problems using one of three methods:

Directions for problems #13-26: Use your calculator to estimate the solution accurate to 2 decimal places. Try one of the following methods: 1) guess and check on the homescreen (LONG AND TEDIUS! forget this way! :zzz: ) 2) use the TABLE feature or 3) use a graphing approach.
15. $$5(2)^t=5000$$

ok so i got the answer algebraically however i don't know how the heck I'm going to get that answer using the "TABLE feature" or the "graphing approach."??

how would u even insert that into the grapher?

would you put it into the calculator like this?:
y= 5(2)^X-5000

 

[Data]

Yes. Find the x-intercept of $$y = 5(2)^x - 5000$$, or, equivalently, of $$y = 2^x - 1000$$.

 

[mathzeroh]

Yes. Find the x-intercept of $$y = 5(2)^x - 5000$$.

so basically, when y=0, that's what i have to figure out?


ok so i got that, it would be about 9.97 which is approximately what i got using the algebraic method, however, how would you do this using the table feature?

THANK YOU BTW!

 

[Data]

I don't have a TI-83, so I can't help you with that one :)

I imagine it is some sort of feature that lists values of x and corresponding values of y.

 

[mathzeroh]

I don't have a TI-83, so I can't help you with that one :)

I imagine it is some sort of feature that lists values of x and corresponding values of y.

yea that's correct...well u've helped out a lot man! thanks!