Answer :
Final answer:
To convert the exponential equation [tex]5^5 = 3125[/tex]to logarithmic form, we use the format log_b(x) = p, resulting in the correct logarithmic form as log(5, 3125) = 5. The correct option is C.
Explanation:
'Given that 55 = 3125, the equivalent exponential equation written in logarithmic form involves converting an exponential equation to its logarithmic form.
The correct format for expressing an exponential equation like bp = x in logarithmic form is logb(x) = p, where b is the base, x is the result, and p is the exponent.
Applying this to the given equation, 55 = 3125, we rewrite it in logarithmic form as log5(3125) = 5. Thus, the correct answer to the question is option C) log(5, 3125) = 5. The correct option is C.