Precalculus Examples

$\log_{25} (u) - \log_{25} (125) + \log_{25} (v)$

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log_{25} (\frac{u}{125}) + \log_{25} (v)$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{25} (\frac{u}{125} v)$

Step 3

Combine $\frac{u}{125}$ and $v$ .

$\log_{25} (\frac{u v}{125})$