Change 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. $\(\log\)7=3^{x}$

Answer: (A)

Verified step by step guidance

1. Identify the base of the exponential expression. In the expression \(3^x = 7\), the base is 3.
2. Recognize the exponent in the expression. Here, the exponent is \(x\).
3. Understand that the exponential expression \(b^y = x\) can be rewritten in logarithmic form as \(\log_b(x) = y\).
4. Apply this understanding to the given expression \(3^x = 7\). Rewrite it in logarithmic form as \(\log_3(7) = x\).
5. Verify that the logarithmic form \(\log_3(7) = x\) correctly represents the original exponential relationship.