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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
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i think you are supposed to solve \[x-3=10\]
since \(\log_{10}(.001)=-3\)
on the other hand, it seems like you can always pick C as an answer, because it is C maybe 94% of the time
\[0.001\log(x-3) = -3\] \[\log(x-3) = -3000\] \[x-3 = \frac{ 1 }{ e ^{3000} }\] \[x = 3 + \frac{ 1 }{ e^{3000} }\]
Or wait, I'm not sure what you're really asking...go with sat.
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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
Ah, yes that makes much more sense :)
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