finding a and b in log equations

Question

write in terms of a and b if log₃5=a and log₃4=b, log₃45= ?

a 2a-b

b 3a

c a+2

d a-2b

Answer 1

log₃45 = log₃(9·5) = log₃(3²·5) = log₃(3²) + log₃5 = 2log₃3 + log₃5 = 2(1) + a = 2 + a