Simplify/Condense log base 5 of 4*7+ log base 5 of 2

$\log_{5} (4 \cdot 7) + \log_{5} (2)$

Step 1

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

$\log_{5} (4 \cdot 7 \cdot 2)$

Step 2

Multiply $4 \cdot 7 \cdot 2$ .

Multiply $4$ by $7$ .

$\log_{5} (28 \cdot 2)$

Multiply $28$ by $2$ .

$\log_{5} (56)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{5} (56)$

Decimal Form:

$2.50109162 \dots$