To convert the logarithmic equation $\log_4 2 = \frac{1}{2}$ into exponential form, we can follow this principle:

If $\log_b a = c$, then the exponential form is $b^c = a$.

Solution:

Given: $\log_4 2 = \frac{1}{2}$

This implies: $4^{\frac{1}{2}} = 2$

So, the exponential form of the equation $\log_4 2 = \frac{1}{2}$ is: $4^{\frac{1}{2}} = 2$

Would you like more details on logarithmic to exponential conversions or have any further questions?

Here are some related questions for further exploration:

1. What is the exponential form of $\log_3 9 = 2$?
2. How do you convert an equation like $\log_{10} 1000 = 3$ into exponential form?
3. Can logarithmic equations with fractional exponents always be simplified in exponential form?
4. What is the exponential form of $\log_2 \frac{1}{4} = -2$?
5. How does the base of the logarithm affect the exponential form?

Tip: To convert a logarithmic equation to exponential form, remember that $\log_b a = c$ translates to $b^c = a$.