Precalculus Examples

$2 \log_{6} (6^{3 x + 1})$

Step 1

Use logarithm rules to move $3 x + 1$ out of the exponent.

$2 ((3 x + 1) \log_{6} (6))$

Step 2

Logarithm base $6$ of $6$ is $1$ .

$2 ((3 x + 1) \cdot 1)$

Step 3

Multiply $3 x + 1$ by $1$ .

$2 (3 x + 1)$

Step 4

Apply the distributive property.

$2 (3 x) + 2 \cdot 1$

Step 5

Multiply.

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Step 5.1

Multiply $3$ by $2$ .

$6 x + 2 \cdot 1$

Step 5.2

Multiply $2$ by $1$ .

$6 x + 2$