Question

simplify the expression if possible.
log 0.001

Answer 1

If base ten, then what is the exponent on 10 that would make the power = 0.001?

Answer 2

i have no idea :(

Answer 3

You know you can rewrite 0.001 as an exponent right?

Answer 4

0.001 = 1/1000, what is 1000 as a power of ten?

Answer 5

10^3

Answer 6

Great, but since it is in the denominator, 1/1000 = 10^-3.

Answer 7

Does that make sense?

Answer 8

yes. so if you have log w/ 1/1000 how do you evaluate that ?

Answer 9

I will reask my first question: "what is the exponent on 10 that would make the power = 0.001?"

Answer 10

this is a different problem I'm asking about

Answer 11

No it isn't.

Answer 12

Yeah but exponets and logarithms are exponents of each other.

Answer 13

inverses*

Answer 14

Logarithms *are* exponents.

Answer 15

The logarithm tells you (or asks you, if a variable is involved) what the exponent is.

Answer 16

So as @CliffSedge said 0.001 is the same as 10^ -3 .

Answer 17

Do you know your logarithm properties?