The image you provided shows a logarithmic equation:

\log_b b^x = \text{___}

The task is to simplify this expression.

Simplification Process:

The expression involves a logarithm with a base $b$ and an exponent $x$, where the logarithmic identity applies: $\log_b b^x = x$

This comes from the logarithmic property that states:

$\log_b b^x = x$

Final Answer:

$\log_b b^x = x$

Let me know if you need further explanations or have additional questions! Here are some related questions for you:

1. How does the logarithmic identity $\log_b b^x = x$ apply to different logarithmic bases?
2. What happens if the base of the logarithm is not equal to the number in the exponent?
3. Can you solve a logarithmic equation like $\log_b b^x = 5$? What is $x$?
4. How does the change of base formula for logarithms work?
5. What is the inverse relationship between exponential functions and logarithmic functions?

Tip: Always remember that the logarithmic and exponential functions are inverses of each other!