Question

Which of the following is the solution of log (x - 3)0.001 = -3 A) x = 5
B) x = 7
C) x = 13
D) x = 15

Answer 1

i think you are supposed to solve
\[x-3=10\]

Answer 2

since \(\log_{10}(.001)=-3\)

Answer 3

on the other hand, it seems like you can always pick C as an answer, because it is C maybe 94% of the time

Answer 4

\[0.001\log(x-3) = -3\]

\[\log(x-3) = -3000\]

\[x-3 = \frac{ 1 }{ e ^{3000} }\]

\[x = 3 + \frac{ 1 }{ e^{3000} }\]

Answer 5

Or wait, I'm not sure what you're really asking...go with sat.

Answer 6

I think x-3 is the base of the log,
\[\log_{x-3} 0.001 = 3\]Which you can rearrange as follows:
\[(x-3)^{-3}=0.001\]And solve to get x=13 as mentioned

Answer 7

Ah, yes that makes much more sense :)

Answer 8

Clarity of questions is essential.