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The equation you have uploaded is:

\[
\log_{a} \left( \frac{1}{2} \right) = x
\]

To solve this logarithmic equation, we can rewrite it in exponential form:

\[
a^x = \frac{1}{2}
\]

Thus, \(x\) is the exponent to which the base \(a\) must be raised to give \(\frac{1}{2}\).

Do you know the value of \(a\), or would you like to solve it symbolically? Feel free to provide any additional details if needed.

Would you like a step-by-step breakdown or an exploration of related logarithmic properties?

Here are 5 related questions:
1. How do you convert logarithmic equations into exponential form?
2. What is the change of base formula for logarithms?
3. How do you solve logarithmic equations with different bases?
4. What happens when the argument of a logarithm is a fraction?
5. What are the key properties of logarithms involving division?

**Tip:** To solve logarithmic problems efficiently, always remember that a logarithm is just another way of expressing exponents.

Explore the logarithmic equation log_a(1/2) = x and learn how to solve it step by step by converting it to exponential form. This problem demonstrates key concepts in logarithms and exponents, suitable for high school students.

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