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evaluate. \\(\\log 1\\) reminder: when a logarithm is written \log\ wit…

Question

evaluate.
\\(\log 1\\)
reminder: when a logarithm is written \log\ without an explicit base, it refers to the common logarithm, \\(\log_{10}\\).
\\(\log 1 = \square\\)

Explanation:

Step1: Recall the definition of logarithm

The logarithm $\log_b a = c$ is equivalent to $b^c = a$. For the common logarithm $\log 1$ (which is $\log_{10} 1$), we need to find a number $c$ such that $10^c = 1$.

Step2: Solve for c

We know that any non - zero number raised to the power of 0 is 1, i.e., $10^0=1$. So, if $10^c = 1$, then $c = 0$.

Answer:

0