anonymous
  • anonymous
evaluate. log(1/square root 1000)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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lgbasallote
  • lgbasallote
no base...so it means it's a common log where the base is automatically 10 since we do not know the answer, we'll equate it to x.so.. log_10 (1/sqrt 1000) = x what do you think happens next?
anonymous
  • anonymous
-2
anonymous
  • anonymous
how so?

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anonymous
  • anonymous
root 1000 is 100 \[\log_{10} 1/\sqrt{10000}=-\log_{10} 100=-2\]
anonymous
  • anonymous
umm.. square root 10000 is 100. my problem is square root 1000. thank you tho!
anonymous
  • anonymous
oops wait...:(
anonymous
  • anonymous
can it be -log10 square root 10?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
thank you.
anonymous
  • anonymous
ans -3/2
anonymous
  • anonymous
wow... -3/2?
lgbasallote
  • lgbasallote
log_10 (1/sqrt 1000) = x 10^x = 1000^-1/2 1000 = 10^3 so... 10^x = (10^3)^-1/2 10^x = 10^-3/2 x = -3/2 according to the same base thing (if a^m = a^n then m=n)

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