- #1
FritoTaco
- 132
- 23
Homework Statement
[/B]
Question: Use the properties of logarithms to rewrite and simplify the logarithmic expression.
1. [tex]log_{5}\dfrac{1}{250}[/tex]
Homework Equations
Product Property: [tex]log_{a}(uv) = log_{a}u + log_{a}v[/tex]
Quotient Property: [tex]log_{a}\dfrac{u}{v} = log_{a}u - log_{a}v[/tex]
Power Property: [tex]log_{a}u^{k} = k\cdot log_{a}u[/tex]
The Attempt at a Solution
[tex]log_{5}1 - log_{5}250[/tex]
I know when it's dividing, you split it up by subtracting. (Still not confident in the first step) Do I find out 5 to what power gives it 250? Even if I did that, it won't match 250. Pretty sure I'm missing something I'm unaware of.
Answer: [tex]-3 - log_{5}2[/tex]