Precalculus Examples

$\log (50 + 5000) + \log (5 (10 + 1000))$

Step 1

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

$\log ((50 + 5000) (5 (10 + 1000)))$

Step 2

Add $50$ and $5000$ .

$\log (5050 (5 (10 + 1000)))$

Step 3

Add $10$ and $1000$ .

$\log (5050 (5 \cdot 1010))$

Step 4

Multiply $5050 (5 \cdot 1010)$ .

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Step 4.1

Multiply $5$ by $1010$ .

$\log (5050 \cdot 5050)$

Step 4.2

Multiply $5050$ by $5050$ .

$\log (25502500)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log (25502500)$

Decimal Form:

$7.40658275 \dots$