Sure, let's break this down step by step.
Step 1: Understand the problem statement.
The problem is asking us to find the value of log base 7 of 1, denoted as log_(7)1.
Step 2: Use the properties of logarithms.
In logarithms, there is a special property that says the logarithm of 1 with any base is always 0. That is, log_b1 = 0, for any base (b ≠ 1).
Step 3: Apply this property to our problem.
For our problem, we want to find log_(7)1. By using the above property, log_(7)1 would equal 0 since the logarithm of 1 with any base (in this case, base 7) is 0.
Therefore, the solution to this problem is 0.