Write the exponential equation in logarithmic form. For example, the logarithmic form of \( 2^{3}=8 \) is \( \log _{2}(8)=3 \). \[ \begin{array}{l}32^{2 / 5}=4 \\ \text { Need Help? } \text { Read It } \text { Watch it }\end{array} \]

To convert the exponential equation \( 32^{2/5} = 4 \) into logarithmic form, start by identifying the base, the result, and the exponent. The base is 32, the result is 4, and the exponent becomes the logarithm value. Therefore, the logarithmic form is \( \log_{32}(4) = \frac{2}{5} \). This transformation is crucial in understanding relationships between different forms of expressions. For instance, in mathematics, logarithmic and exponential forms offer various tools for solving equations and analyzing functions, making them both powerful and essential for higher-level learning!