Question: Convert to a logarithmic equation. \[ 25^{\frac{1}{2}} = 5 \]

Convert to a logarithmic equation.

\[ 25^{\frac{1}{2}} = 5 \]

Solution

Step 1: Identify the given exponential equation. \[ 25^{\frac{1}{2}} = 5 \] Step 2: Convert the exponential equation to its logarithmic form using the definition of logarithms. \[ \log_{25} 5 = \frac{1}{2} \]