Question

Given that a and b are positive constants, solve the simultaneous equations a =3b, log3 a+log3 b = 2. Give your answers as exact numbers

Answer 1

Answer:

"first, write out given equations a = 3b and log3a + log3b = 22) sub in first equation to second log33b + log3b = 23) simplify using log ruleslog33b2 = 2 4) expand and solve9 = 3b2so b = =/-sqrt3 a =+/- 3sqrt3"

Answer 2

Step-by-step explanation:

a = 3b and log3a + log3b = 22) sub in first equation to second log33b + log3b = 23) simplify using log ruleslog33b2 = 24) expand and solve9 = 3b2so b = =/-sqrt3 a =+/- 3sqrt3"

thanks