Answer:
The value of y is 7.
Step-by-step explanation:
The given equation is
[tex]log_{11}(y+8)+log_{11}4=log_{11}60[/tex]
[tex]log_{11}[(y+8)4]=log_{11}60[/tex] [tex][\because log_ax+log_ay=log_axy][/tex]
[tex]log_{11}(4y+32)=log_{11}60[/tex]
Equating both sides.
[tex]4y+32=60[/tex]
[tex]4y=60-32[/tex]
[tex]4y=28[/tex]
Divide both sides by 4.
[tex]y=7[/tex]
Therefore the value of y is 7.
