To evaluate the expression $3 \cdot 5^x$ when $x = 2$, we can substitute $x$ with 2 in the expression and calculate as follows:

1. Substitute $x = 2$: $3 \cdot 5^2$

2. Calculate $5^2$: $5^2 = 25$

3. Multiply by 3: $3 \cdot 25 = 75$

So, the value of the expression when $x = 2$ is 75.

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

1. How would the expression change if $x$ were 3 instead of 2?
2. Can you generalize a rule for $3 \cdot 5^x$ when $x$ is any integer?
3. What happens to the value of $3 \cdot 5^x$ as $x$ increases?
4. How would this expression be evaluated if the base was a different number, like 4 instead of 5?
5. What would be the result if the coefficient 3 was replaced with a different value, say 6?

Tip: When working with exponents, it's helpful to compute the exponent value first before applying any multiplication to simplify calculations.