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