what is Y when X=4, put answer in integer or simplified fraction form

To find the value of \( y \) when \( x = 4 \) in the function \( y = \log_2(x + 13) \), substitute \( x = 4 \) into the equation:

\[
y = \log_2(4 + 13) = \log_2(17)
\]

Since \( \log_2(17) \) is not a simple power of 2, we leave the answer in its logarithmic form:

\[
y = \log_2(17)
\]

This expression cannot be simplified to an integer or a simple fraction without using a calculator.

Would you like to explore further with this function or need additional information?

Here are some related questions:

1. What is \( y = \log_2(8) \) when \( x = -5 \)?
2. How would you approximate \( \log_2(17) \) using the change of base formula?
3. What is the exact value of \( \log_2(16) \) when \( x = 3 \)?
4. Can \( y = \log_2(x + 13) \) ever equal zero? If so, for what value of \( x \)?
5. How does the graph change if we consider \( y = \log_3(x + 13) \) instead?

Discover how to find the value of y in the function y = log2(x + 13) when x equals 4. Learn about logarithmic functions and their applications. Suitable for advanced high school students and anyone interested in logarithms and mathematical functions.

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