Precalculus Examples

$\log (2 x) \cdot 10$

Step 1

Multiply $\log (2 x) \cdot 10$ .

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Step 1.1

Reorder $\log (2 x)$ and $10$ .

$10 \cdot \log (2 x)$

Step 1.2

Simplify $10 \cdot \log (2 x)$ by moving $10$ inside the logarithm.

$\log ({(2 x)}^{10})$

Step 2

Apply the product rule to $2 x$ .

$\log (2^{10} x^{10})$

Step 3

Raise $2$ to the power of $10$ .

$\log (1024 x^{10})$