- #1

FritoTaco

- 132

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## Homework Statement

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__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]