0.0042 is same as 10 in power of what?

**problady** · November 26th 2010, 03:42 AM

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

**Unknown008** · November 26th 2010, 04:09 AM

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?

**problady** · November 26th 2010, 04:37 AM

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

**Unknown008** · November 26th 2010, 04:40 AM

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..

**problady** · November 26th 2010, 04:51 AM

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

**Unknown008** · November 26th 2010, 04:52 AM

Cheers!

**Wilmer** · November 26th 2010, 06:54 AM

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

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