## anonymous one year ago What is the solution of log2x + 3125 = 3? a. x = 1 over 3 b. x = 1 c. x = 7 over 3 d. x = 4

1. anonymous

hey

2. anonymous

hi there! i was just about to tag you.

3. Nnesha

$\huge\rm log_2 x +3125 =3$ first) move the 3125 to the right side 2nd) convert log to exponential form

4. anonymous

thats right. do you know how to convert to exponential form?

5. anonymous

$\log_{2}x = -3122$

6. anonymous

okay, i'm on the right track

7. Nnesha

|dw:1439212156992:dw|

8. Nnesha

let us know what you get!

9. anonymous

so we get 2^-3122 = x

10. Nnesha

let her try it first :=)

11. anonymous

@badsuns are you getting this? I know I didn't realize she hadn't I thought you replying was her lol sorry.

12. Nnesha

it's okay.

13. anonymous

okay let me try to solve it

14. anonymous

wait, this is totally wrong because i was not clear when writing the question. the log is 2x + 3.

15. anonymous

16. Nnesha

$\huge\rm log_2 (2x+3) =3$ like ths ?

17. anonymous

ouch ok. So is it like this?$\log_{2x+3}125$

18. anonymous

yes :)

19. anonymous

which one lol

20. anonymous

@twistnflip wrote the equation correctly.

21. anonymous

i didn't see @Nnesha's reply until i scrolled up, sorry about that.

22. anonymous

23. anonymous

24. Nnesha

$\log_{2x+3} 125 =3$ like this ?

25. anonymous

yes

26. Nnesha

alright so now first step is to convert log to exponential form base is 2x+3

27. anonymous

right. remember how to do that?

28. anonymous

so it would be (2x+3)^(3) = 125 ?

29. Nnesha

perfect!!

30. Nnesha

now take cube root both sides to cancel out cube

31. anonymous

yes thats awesome. now do you know how to take cube roots?

32. Nnesha

$\sqrt[3]{(2x+3)^3}=\sqrt[3]{125}$ solve for x

33. anonymous

okay, let me try that out.

34. anonymous

what do you get?

35. anonymous

you should get: 2x+3 = 5 -3 -3 2x = 2 x = 1

36. Nnesha

sigh.

37. Nnesha

lol

38. anonymous

Answer choice B. What lol she was taking way too long

39. anonymous

Just wanted to make sure she wasn't stuck

40. Nnesha

it's okay we should give them a few mints

41. anonymous

ugh sorry my internet is acting up, i had to reset it. let me try and see i got the answer by doing it correctly.

42. anonymous

no, i keep doing something wrong, not even sure what.

43. anonymous

waaaaait, i know what i did. i got it now.

44. Nnesha

nice.

45. anonymous

Awesome!! Let me know if you need anything... Medal?

46. anonymous

I will give Nnesha one if you give me one

47. anonymous

thank you guys so so much. it's hard for me to remember how to do this since i haven't been in an actual class for about two months. thanks for your patience and help.

48. Nnesha

i'm okay without medal. so no big deal.