Question

Which of the following is the solution of (logx - 3) 0.001 = -3

a.x = 5

b. x = 7

c. x = 13

d. x = 15

Answer 1

is 0.001 being multiplied by log(x) - 3?

Answer 2

this is how the question was written for me
log x - 3 0.001 = -3

Answer 3

Rewrite it as an exponent
(x-3)^-3=.001

Answer 4

\[\large \log_{x-3}(0.001)=-3\]

Answer 5

@satellite73 yes

Answer 6

what @Luigi0210 said

Answer 7

and what @genius12 is about to say

Answer 8

@satellite73 lol@u

Answer 9

@Luigi0210 so after I write as an exponent (x-3)^-3=.001 what do I do next?

Answer 10

multiply it by -1/3, both sides

Answer 11

* exponent wise

Answer 12

so I will get (x-3)=.001^-1/3?

Answer 13

@Luigi0210

Answer 14

Yup, now what's .001^-1/3?

Answer 15

I typed it into my calculator and got an error @Luigi0210

Answer 16

I actually reentered it and ended up with 10 but thats not one of the options :/ @Luigi0210

Answer 17

oh no

Answer 18

Yes, but we are not finished :)
Now we have:
x-3=10

Answer 19

\(10^{-3}=0.001\) and so \(x-3=10\) making \(x=13\)

Answer 20

thank you @satellite73 xD

Answer 21

O.O

Answer 22

Yup, that simple :)

Answer 23

hahah thank you :) I appreciate the help! @Luigi0210 @satellite73 @genius12

Answer 24

Anytime :D