Question

evaluate.
log(1/square root 1000)

Answer 1

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?

Answer 2

-2

Answer 3

how so?

Answer 4

root 1000 is 100
\[\log_{10} 1/\sqrt{10000}=-\log_{10} 100=-2\]

Answer 5

umm.. square root 10000 is 100. my problem is square root 1000. thank you tho!

Answer 6

oops wait...:(

Answer 7

can it be -log10 square root 10?

Answer 8

yeah

Answer 9

thank you.

Answer 10

ans -3/2

Answer 11

wow... -3/2?

Answer 12

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)