To evaluate \( \log(10^4 \cdot 10^3) \), we can use the logarithmic property that states \( \log(a \cdot b) = \log a + \log b \).
First, apply the property: \[ \log(10^4 \cdot 10^3) = \log(10^4) + \log(10^3) \]
Next, we can use another logarithmic property that states \( \log(a^b) = b \cdot \log a \). Since the base of the logarithm is 10 in this case: \[ \log(10^4) = 4 \quad \text{and} \quad \log(10^3) = 3 \]
Now, substitute these values back into the equation: \[ \log(10^4 \cdot 10^3) = 4 + 3 = 7 \]
Thus, the evaluation of \( \log(10^4 \cdot 10^3) \) is \( 7 \).
So the final answer is: \[ \boxed{7} \]