Precalculus Examples

$\log (4) \cdot 7 \cdot \log (7) \cdot 256$

Step 1

Multiply $\log (4) \cdot 7$ .

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Step 1.1

Reorder $\log (4)$ and $7$ .

$7 \cdot \log (4) \cdot \log (7) \cdot 256$

Step 1.2

Simplify $7 \cdot \log (4)$ by moving $7$ inside the logarithm.

$\log (4^{7}) \cdot \log (7) \cdot 256$

Step 2

Raise $4$ to the power of $7$ .

$\log (16384) \cdot \log (7) \cdot 256$

Step 3

Simplify $256 \log (7)$ by moving $256$ inside the logarithm.

$\log (16384) \log (7^{256})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (16384) \log (7^{256})$

Decimal Form:

$911.76909580 \dots$