Precalculus Examples

$\log (4 x) - \frac{\log_{4} (x - 1) \cdot 1}{2}$

Step 1

Rewrite $\frac{\log_{4} (x - 1) \cdot 1}{2}$ as $\frac{1}{2} \log_{4} (x - 1)$ .

$\log (4 x) - (\frac{1}{2} \log_{4} (x - 1))$

Step 2

Simplify $\frac{1}{2} \log_{4} (x - 1)$ by moving $\frac{1}{2}$ inside the logarithm.

$\log (4 x) - \log_{4} ({(x - 1)}^{\frac{1}{2}})$