Write as a Single Logarithm 1/4 log base x of 3 log base x of a

$\frac{1}{4} \log_{x} (3 \log_{x} (a))$

Step 1

Simplify $3 \log_{x} (a)$ by moving $3$ inside the logarithm.

$\frac{1}{4} \cdot \log_{x} (\log_{x} (a^{3}))$

Step 2

Simplify $\frac{1}{4} \log_{x} (\log_{x} (a^{3}))$ by moving $\frac{1}{4}$ inside the logarithm.

$\log_{x} ({\log_{x} (a^{3})}^{\frac{1}{4}})$