which logarithmic equation is equivalent to 3² = 9?\n2 = log₃9\n2 = log₉3\n3 = log₂9\n3 = log₉2

Explanation:

Step1: Recall the logarithm - exponent relationship

The general relationship between exponents and logarithms is (a^b = c) is equivalent to (b=\log_a c), where (a>0,a\neq1), (c > 0).

Step2: Identify values for (a), (b), and (c)

In the equation (3^2 = 9), we have (a = 3), (b = 2), and (c = 9).

Step3: Write the equivalent logarithmic equation

Using the relationship (b=\log_a c), we get (2=\log_3 9).

Answer:

A. (2=\log_3 9)