To rewrite the given logarithmic equation $\log_b 36 = 2$ in its equivalent exponential form, we use the definition of a logarithm.

The logarithmic equation $\log_b 36 = 2$ implies that: $b^2 = 36$ This means that $b$ raised to the power of 2 equals 36.

Would you like a detailed explanation of how this conversion works? Here are some related questions to extend your understanding:

1. How do you convert a logarithmic equation to its exponential form in general?
2. How would you solve for $b$ in $b^2 = 36$?
3. What if the base $b$ in a logarithmic equation is unknown—how can you determine it?
4. How does the logarithmic function differ from an exponential function in terms of growth?
5. Can a logarithmic equation have a negative result? Why or why not?

Tip: When converting between logarithmic and exponential forms, remember that the base of the logarithm becomes the base of the exponent.