## Tresag 3 years ago simplify the expression if possible. log 0.001

1. CliffSedge

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

2. Tresag

i have no idea :(

3. Dido525

You know you can rewrite 0.001 as an exponent right?

4. CliffSedge

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

5. Tresag

10^3

6. CliffSedge

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

7. CliffSedge

Does that make sense?

8. Tresag

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

9. CliffSedge

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

10. Tresag

11. CliffSedge

No it isn't.

12. Dido525

Yeah but exponets and logarithms are exponents of each other.

13. Dido525

inverses*

14. CliffSedge

Logarithms *are* exponents.

15. CliffSedge

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

16. Dido525

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

17. Dido525

Do you know your logarithm properties?

18. Dido525

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