# Thread: 0.0042 is same as 10 in power of what?

1. ## 0.0042 is same as 10 in power of what?

10 in power of what (?) is same as 0.0042? any help...

2. Let the number you are looking for be x.

$10^x = 0.0042$

You can put log on both sides;

$\log 10^x = \log 0.0042$

$x \log 10 = \log 0.0042$

$x = \log 0.0042$

Can you complete it now?

3. I think you're wrong since! log(0.0042) =-5.472670753692815 and 10^-5.472670753692815=3.367667814600788e-06 or?

4. Um... by log, I mean log to base 10... not log to base e... if the latter was the case, I would have written ln..

5. Thank you mate! I wish you a nice day...

6. Cheers!

7. Tattoo this on your wrist: if a^p = b, then p = log(b) / log(a)