Question

can someone help

Simplify if possible.

log 0.0001

Answer 1

Whenever you have a log problem and the base isn't written, it's a given that it's 10. So the question would look like \[\log _{10}0.0001\] which can be rewritten \[10^{x} = 0.0001\] Now you have to find a common base of 10 and 0.0001. Basically, 10 to what power equals 0.0001?

Answer 2

Im not sure how to get it to equal to a decimal. @InTheTardis

Answer 3

Well, with an answer less than 1, know that it's going to be a negative power. Ex. \[10^{-1} = 0.1\]Now count the number of of decimal places to the right that 0.0001 goes to, which is four. So \[10^{-4} = 0.0001\]Try in on your calculator and see. There is a better way to figure it out, but that's how I do it.

Answer 4

Oh I see that! I was thinking maybe it would be a negative but wasnt sure. So this equation simplified is \[10^-4 ?\]

Answer 5

@InTheTardis

Answer 6

Yes =)

Answer 7

thank you!!!