Question: (4) \(\log_{\frac{1}{9}} 27\)

Solution

Step 1: \[ \log_{\frac{1}{3}} 27 = x \] Step 2: \[ \left( \frac{1}{3} \right)^x = 27 \] Step 3: \[ 3^{-x} = 3^3 \] Step 4: \[ -x = 3 \] Step 5: \[ x = -3 \]