The problem asks for the base-10 value of the underlined digit '6' in the base-8 number $2673_8$.

1. Problem Description

The problem asks for the base-10 value of the underlined digit '6' in the base-8 number $2673_8$.

2. Solution Steps

The base-8 number $2673_8$ can be expanded as:

$2673_8 = (2 \times 8^3) + (6 \times 8^2) + (7 \times 8^1) + (3 \times 8^0)$.

We are interested in the digit '6', which is in the $8^2$ place.

The value of this digit is $6 \times 8^2$.

$8^2 = 64$.

Therefore, the value of the underlined digit '6' in base 10 is $6 \times 64 = 384$.

3. Final Answer

The digit value in base ten of the underlined digit in the number $2673_8$ is

3

8

4.