Precalculus Examples

$\sqrt{\log (8) \cdot 7} - \log (8) \cdot 9$

Step 1

Reorder $\log (8)$ and $7$ .

$\sqrt{7 \cdot \log (8)} - \log (8) \cdot 9$

Step 2

Simplify $7 \cdot \log (8)$ by moving $7$ inside the logarithm.

$\sqrt{\log (8^{7})} - \log (8) \cdot 9$

Step 3

Raise $8$ to the power of $7$ .

$\sqrt{\log (2097152)} - \log (8) \cdot 9$

Step 4

Multiply $9$ by $- 1$ .

$\sqrt{\log (2097152)} - 9 \log (8)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{\log (2097152)} - 9 \log (8)$

Decimal Form:

$- 5.61352471 \dots$