## latremese40 Group Title y=logx If y=10, then what is x? 2 years ago 2 years ago

• This Question is Open
1. ParthKohli

log base = ?

2. latremese40

it just say x

3. hartnn

10=log x can u convert this in exponential form?

4. ParthKohli

Okay, so what do you get in the equation when you plug $$\rm y = 10$$?

5. latremese40

yes @hartnn

6. etemplin

10 = log x x = 10^10 you raise both powers to whatever the base of the log is to get rid of the log

7. hartnn

what u get?

8. latremese40

so then it will be one?

9. ParthKohli

People, why don't you just help her?

10. ParthKohli

@latremese40 Yes!

11. hartnn

no

12. etemplin

no, x does not equal 1

13. latremese40

thank you @Parthkohli

14. ParthKohli

Whenever you have such a form, then I prefer the exponential form.

15. etemplin

@ParthKohli if x and y were reversed, this would be true

16. hartnn

its not 1

17. ParthKohli

@latremese40 You're welcome :)

18. etemplin

x = 10^10

19. latremese40

how @hartnn

20. ParthKohli

@latremese40 Let me show you.

21. etemplin

if you do log(1) you dont get 10

22. ParthKohli

$\rm 10 = \log (x)$Right? But here, the base is 10.

23. latremese40

oka Parthkohli

24. etemplin

so raise both sides to the 10th power to get rid of the log with base 10

25. ParthKohli

$\rm 10 = \log_{10}(x)$Do you know what the exponential form is?

26. hartnn

the exponential form $$\huge if, a=log x\implies x=10^a$$

27. hartnn

so what will be 10=log x ?

28. latremese40

but its y=logx then you get 10^x x=1 right?

29. ParthKohli

@latremese40 Let's do something clever.

30. hartnn

when y=10, u get 10=log x

31. ParthKohli

Let's first solve for $$\rm x$$.

32. etemplin

@ParthKohli if you plug in 1 for x you dont get 10

33. hartnn

and u get x=10^y

34. latremese40

how bout @parthkohli inbx me cuz im getin confused

35. ParthKohli

$\rm y = \log_{10}x$So,$\rm 10^y = x$Right?

36. ParthKohli

Now if you have y = 10, then you have$\rm 10^{10} =x$Got my point?

37. latremese40

yes i do

38. ParthKohli

And that's your answer! If you prefer the numeric notation, then add ten zeroes in front of 1.

39. hartnn

sorry for the confusion.

40. latremese40

oka... its cool hartnn

41. etemplin

im still confused...how is x=1 like you said earlier?

42. ParthKohli

@etemplin: That answer was out of confusion, so don't mind it. :)

43. etemplin

wow that makes sense now. so x = 10^10 right? just making sure

44. ChmE

|dw:1351402472779:dw|