Convert the following exponential expression to its equivalent logarithmic form.
$3^{x}=7$

• A. $\log_37=x$
• B. $\log_73=x$
• C. $\log_3x=7$
• D. $\log7=3^{x}$

Answer: (A)

Verified step by step guidance

1. Identify the given exponential expression: \(3^x = 7\).
2. Recall the relationship between exponential and logarithmic forms: If \(a^b = c\), then \(\log_a(c) = b\).
3. Apply this relationship to the given expression: Here, \(a = 3\), \(b = x\), and \(c = 7\).
4. Convert the exponential expression to logarithmic form using the identified values: \(\log_3(7) = x\).
5. Verify the conversion by checking that the base of the logarithm (3) and the result (7) match the original exponential expression.