To answer this question, we can see that:
We can see from the graph above that if we raise the number 7 to 2, we obtain 49. Thus, the logarithm of 49 in base 7 is 2. In other words, if we raise the base of the logarithm to 2 we obtain the value of x (49). That is:
![\log _749=2\Rightarrow7^2=49](https://img.qammunity.org/2023/formulas/mathematics/college/jxuixfpdvlrhud7quka149o2x8a6eyjwsn.png)
Hence, the value for x is equal to 49.