Basic Math Examples

$2 \log_{6} (3) + \log_{6} (4)$

Step 1

Simplify each term.

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Step 1.1

Simplify $2 \log_{6} (3)$ by moving $2$ inside the logarithm.

$\log_{6} (3^{2}) + \log_{6} (4)$

Step 1.2

Raise $3$ to the power of $2$ .

$\log_{6} (9) + \log_{6} (4)$

Step 2

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

$\log_{6} (9 \cdot 4)$

Step 3

Multiply $9$ by $4$ .

$\log_{6} (36)$

Step 4

Logarithm base $6$ of $36$ is $2$ .

$2$