To solve the equation \( 2^x = 16 \), we need to express 16 as a power of 2.

Notice that:

\[
16 = 2^4
\]

So, we can rewrite the equation as:

\[
2^x = 2^4
\]

Since the bases are the same, we can set the exponents equal to each other:

\[
x = 4
\]

Thus, the solution is \( x = 4 \).

Would you like more details, or do you have any questions?

Here are five related questions:
1. What is the solution to the equation \( 3^x = 27 \)?
2. How do you solve \( 2^x = 32 \)?
3. What is the value of \( x \) in \( 5^x = 25 \)?
4. How do you solve an equation like \( 4^x = 64 \)?
5. What steps would you take to solve \( 2^x = 1/16 \)?

**Tip:** When solving exponential equations, it's helpful to express both sides of the equation with the same base, if possible. This allows you to equate the exponents and solve for the unknown variable.

Learn how to solve the exponential equation 2^x = 16 step-by-step. This problem involves understanding exponential functions and equations, with a focus on solving equations where the bases are the same. Suitable for students in Grades 7-9.

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