Precalculus Examples

$\log (4) (7^{\log (7) \cdot 64})$

Step 1

Rewrite $\log (4)$ as $\log (2^{2})$ .

$\log (2^{2}) \cdot 7^{\log (7) \cdot 64}$

Step 2

Expand $\log (2^{2})$ by moving $2$ outside the logarithm.

$2 \log (2) \cdot 7^{\log (7) \cdot 64}$

Step 3

Move $64$ to the left of $\log (7)$ .

$2 \log (2) \cdot 7^{64 \cdot \log (7)}$

Step 4

Reorder factors in $2 \log (2) \cdot 7^{64 \log (7)}$ .

$2 \cdot 7^{64 \log (7)} \log (2)$