Answer:
[tex]\Large \textsf{Read below}[/tex]
Step-by-step explanation:
[tex]\Large \text{$ \sf log\:(x^2 - 121) - log\:(x + 11) = 1$}[/tex]
[tex]\Large \text{$ \sf log\left(\dfrac{x^2 - 121}{x + 11}\right) = 1$}[/tex]
[tex]\Large \text{$ \sf log\left[\dfrac{(x + 11)(x - 11)}{x + 11}\right] = log\:10$}[/tex]
[tex]\Large \text{$ \sf \dfrac{(x + 11)(x - 11)}{x + 11} = 10$}[/tex]
[tex]\Large \text{$ \sf x - 11 = 10$}[/tex]
[tex]\Large \boxed{\boxed{\text{$ \sf x = 21$}}}[/tex]
