Express \( \log _{7} 343=3 \) in exponential form. \( \begin{array}{ll}\text { a. } 7^{3}=343 & \text { b. } \log 7^{3}=343 \\ \text { c. } 3^{7}=343 & \text { d. } 343^{7}=3\end{array} \)

The logarithmic equation \( \log _{7} 343 = 3 \) can be converted to its exponential form using the definition of a logarithm. The general form of a logarithmic equation is: \[ \log_b a = c \quad \text{which is equivalent to} \quad b^c = a \] Applying this to the given equation: \[ \log _{7} 343 = 3 \quad \Rightarrow \quad 7^3 = 343 \] **Answer:** **a.** \( 7^{3}=343 \)