Precalculus Examples

$\log_{2} (7^{2}) (4^{7})$

Step 1

Raise $7$ to the power of $2$ .

$\log_{2} (49) \cdot 4^{7}$

Step 2

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

$\log_{2} (49) \cdot 16384$

Step 3

Multiply $\log_{2} (49) \cdot 16384$ .

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Step 3.1

Reorder $\log_{2} (49)$ and $16384$ .

$16384 \cdot \log_{2} (49)$

Step 3.2

Simplify $16384 \cdot \log_{2} (49)$ by moving $16384$ inside the logarithm.

$\log_{2} (49^{16384})$