Answer
1. The graph $A$ corresponds to $\log_2 x$
2. The graph $B$ corresponds to $\log_4 x$
3. The graph $C$ corresponds to $\log_{10} x$
Work Step by Step
As we know that $\log_4 4=1$ and $\log_2 4=2$
As we look at the graph, we conclude the below points:
1. The point $(4,2)$ lies on the graph $A$.
Here, we have $2^2 =4 \implies \log_2 4=2$
Thus, the graph $A$ corresponds to $\log_2 x$
2. The point $(4,1)$ lies on the graph $B$.
Here, we have $4^1 =4 \implies \log_4 4=1$
Thus, the graph $B$ corresponds to $\log_4 x$
3. Likewise, the graph $C$ corresponds to $\log_{10} x$
