Question 628158
Write the expression as a single logarithm with a coefficient of 1. Assume all variable expressions represent positive real numbers.
logb(3x) + logb(y + 4) + logb(y + 2) − logb(y^2 + 6y + 8)
logb(y^2 + 6y + 8)=log[(y+4)(y+2)]
logb[(3x(y+4)(y+2))/(y+4)(y+2)]
(y+4)(y+2) cancels out, leaving:
logb(3x)