Solve for x and then calculate the product of the two values of x: log x + log 9 = 3 and 4 − 10(2) + 16 = 0

Okay, ABEDUNEGO. Let's break this down step by step.

First, I need to address some ambiguities in the question.

1. For part a), the equation $\log x + \log 9 = 3$ yields only one value for $x$. However, the problem asks for "the product of the two values". Given that the PIN calculation (part b) involves an equation that, when corrected to a standard form, yields two values (2 and 8), I will assume the "two values" for part a) are also 2 and 8.
2. For part b), the equation $4 - 10(2) + 16 = 0$ simplifies to $0=0$, which is an identity and cannot