## anonymous 4 years ago What is the solution of the equation?

1. anonymous

2. anonymous

I would like help on how to do this problem please.

3. hartnn

first isolate $$\sqrt[5]{(x+3)^3}$$ can u ?

4. anonymous

No, I'm not sure how you would do that

5. hartnn

subtract 3 on both sides, what u get ?

6. anonymous

oh i see, you get the same on the right minus the 3 and it = 24

7. anonymous

left side*

8. anonymous

|dw:1356996161879:dw|

9. hartnn

yes, now divide by 3 on both sides, what u get ?

10. anonymous

|dw:1356996206975:dw|

11. hartnn

right, now raise 5th power on both sides, can u ?

12. anonymous

|dw:1356996275148:dw|

13. anonymous

thx

14. hartnn

i think you should keep that as 8^5 only.

15. anonymous

oh ok, now i distribute the ^2 on the left?

16. anonymous

*^3

17. hartnn

now, write 8=2^3 and take cube root on both sides.

18. hartnn

need help with this? i think you try once...

19. anonymous

I'm sorry, you lost me there

20. anonymous

No, I just have no idea, can you draw this step for me please?

21. hartnn

|dw:1356996503357:dw| |dw:1356996534417:dw| got this ?

22. anonymous

Ohhh, yeah I get it now

23. hartnn

|dw:1356996601632:dw|

24. hartnn

ok, can u find x now ??

25. anonymous

30?

26. hartnn

x+2 =2^5=32 x=32-2=30 yes! correct :)

27. hartnn

@xkylex did u get all of this? any doubts ?

28. anonymous

Hey, thanks so much, your help is very greatly appreciated:)

29. anonymous

Yes! It was an excellent explanation!

30. hartnn

welcome to both ^_^

31. anonymous

kirk.freedman, I guess we are doing the same test, lol. Best of luck to you.