Solve the logarithmic equation for x Enter your answers as a

Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) logs(x -4)+ log(x3) 1

Solution

log₈(x-4)+log₈(x+3)=1

log₈((x-4)(x+3)=1

x²-x-12=8¹

x²-x-12-8=0

x²-x-20=0

(x-5)(x+4)=0

x=5