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. Step 1: Recall the relationship between exponential and logarithmic forms. If you have an exponential equation of the form a^b = c, it can be rewritten in logarithmic form as log_a(c) = b.
2. Step 2: Identify the base, exponent, and result in the given exponential equation. In this case, the base is 3, the exponent is x, and the result is 7.
3. Step 3: Apply the logarithmic conversion rule. Rewrite the equation 3^x = 7 in logarithmic form as log_3(7) = x.
4. Step 4: Verify the rewritten logarithmic form. Ensure that the base (3), the argument (7), and the result (x) are correctly placed in the logarithmic expression.
5. Step 5: Compare the rewritten logarithmic form with the provided answer choices to confirm the correct equivalent form is log_3(7) = x.