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## angelina22309 2 years ago can someone help Simplify if possible. log 0.0001

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1. InTheTardis

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?

2. angelina22309

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

3. InTheTardis

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.

4. angelina22309

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

5. angelina22309

@InTheTardis

6. InTheTardis

Yes =)

7. angelina22309

thank you!!!

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