log(x+5)=log(2x+3)

log(x + 5) = log(2x + 3)

x + 5 = 2x + 3

2 = x

x = 2

--->

x+5 = 2x+3

solve for x

if log(x + 5) = log(2x + 3) then the inner parts are also equal

add (-x - 3) to both sides