## iheartfood 3 years ago Solve the equation attached for x :)

1. iheartfood

2. iheartfood

A. x = 8/5 B. x = -8/5 C. x = 0, 8/5 D. There are no solutions.

3. jim_thompson5910

test each answer choice so plug in x = 8/5, what do you get?

4. iheartfood

how do i plug it in?? in format via calc?

5. jim_thompson5910

replace x with 8/5

6. jim_thompson5910

and use a calculator

7. iheartfood

okay so for x=8/5 i got .76339... is that right?

8. jim_thompson5910

on the left side?

9. iheartfood

noo i did this.. log(3)8/5... idk i feel like thats wrong tho :(

10. iheartfood

thats wrong isn't it??!! :O

11. jim_thompson5910

yeah it looks odd

12. iheartfood

okay so how should i put it in my calc?

13. jim_thompson5910

log(5*8/5) + log( 8/5 - 1) for the left side

14. iheartfood

=6812412374 is that right?

15. jim_thompson5910

whoa...way too big

16. jim_thompson5910

oh you meant 0.6812412373 right?

17. iheartfood

18. iheartfood

weird i thought i pressed the "." lol

19. jim_thompson5910

do the same for the right side

20. iheartfood

8/5log3 ?

21. jim_thompson5910

log( 3 * 8/5 ) = ???

22. iheartfood

ohhh okay =same as above :)

23. jim_thompson5910

so 8/5 is a solution is -8/5 a solution??

24. iheartfood

so my answer is automatically A. x=8/5 ??

25. jim_thompson5910

no it might be 0 or -8/5

26. jim_thompson5910

haven't ruled them out yet

27. iheartfood

idk lemme check :) left side umm it won't even let me enter it.. it says error..

28. jim_thompson5910

that's because the domain of log(x) is x > 0 so x = 0 and x = -8/5 aren't even defined

29. iheartfood

kk so my answer is just x=8/5 then?? A. x=8/5 is my answer right?

30. jim_thompson5910

exactly

31. iheartfood

awesome! :) Thanks!