SOLUTION
We want to solve
[tex]log_{11}(y+8)+log_{11}4=log_{11}60[/tex]Collecting like terms we have
[tex]\begin{gathered} log_{11}(y+8)=log_{11}60-\log _{11}4 \\ log_{11}(y+8)=log_{11}(\frac{60}{4}) \\ log_{11}(y+8)=log_{11}15 \\ \text{cancelling }log_{11}\text{ from both sides, we have } \\ y+8=15 \\ y=15-8 \\ y=7 \end{gathered}[/tex]Hence the answer is y = 7
