Precalculus Examples

$\log (7 x) + \log (7 y) - \log (7 z)$

Step 1

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

$\log (7 x (7 y)) - \log (7 z)$

Step 2

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

$\log (\frac{7 x (7 y)}{7 z})$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

$\log (\frac{7 x (7 y)}{7 z})$

Step 3.2

Rewrite the expression.

$\log (\frac{x (7 y)}{z})$

Step 4

Move $7$ to the left of $x$ .

$\log (\frac{7 x y}{z})$