The problem shown in the image asks to solve for $x$ in the equation:

$\log_2{x} = 5$

Solution:

The equation $\log_2{x} = 5$ can be rewritten in exponential form:

$x = 2^5$

Now calculate $2^5$:

$x = 32$

Final Answer:

$x = 32$

Would you like further explanation or details about logarithms or exponential equations?

Here are five related questions to expand your understanding:

1. What are the general properties of logarithms?
2. How do you convert between logarithmic and exponential forms?
3. How would the solution change if the base of the logarithm were different?
4. What are real-life applications of logarithms?
5. How can you calculate logarithms with non-integer results without a calculator?

Tip: Always remember the connection between logarithms and exponents—it helps simplify complex equations!