Simplify/Condense log of 2+ log of 11+ log of 7

$\log (2) + \log (11) + \log (7)$

Step 1

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

$\log (2 \cdot 11) + \log (7)$

Step 2

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

$\log (2 \cdot 11 \cdot 7)$

Step 3

Multiply $2 \cdot 11 \cdot 7$ .

Multiply $2$ by $11$ .

$\log (22 \cdot 7)$

Multiply $22$ by $7$ .

$\log (154)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (154)$

Decimal Form:

$2.18752072 \dots$