Question

prove that log 15 - 2 loga + log 323 log2​

Answer 1

Answer:

Hello Dear Here is Your Answer

Step-by-step explanation:

log(4/9)=2log(2)-2log(3)

2log(15/18) =2[log(5)+log(3)+log(2)]=2log(5)-2log(3)+2log(2)

log(25/162) = -2log(5)+4log(3)+log(2)

2log(2)-2log(3)-[2log(5)+2log(3)+2log(2)]-2log(5)+4log(3)+log(2) =log(2)

2log(2)-2log(3)-2log(5)-2log(3)-2log(2)]-2log(5)+4log(3)+log(2) =log(2)

hence proved