Precalculus Examples

$\log (600) + \log (\frac{5}{3})$

Step 1

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

$\log (600 (\frac{5}{3}))$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $600$ .

$\log (3 (200) \frac{5}{3})$

Step 2.2

Cancel the common factor.

$\log (3 \cdot 200 \frac{5}{3})$

Step 2.3

Rewrite the expression.

$\log (200 \cdot 5)$

Step 3

Simplify the expression.

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Step 3.1

Multiply $200$ by $5$ .

$\log (1000)$

Step 3.2

Logarithm base $10$ of $1000$ is $3$ .

$3$