SOLUTION: Suppose that logb(2)=A and logb3=B Express each of the following in terms of A and B 1a) logb4+logb9 b) logb24 c) log8(9)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Suppose that logb(2)=A and logb3=B Express each of the following in terms of A and B 1a) logb4+logb9 b) logb24 c) log8(9)       Log On


   

Question 1005920: Suppose that logb(2)=A and logb3=B Express each of the following in terms of A and B
1a) logb4+logb9
b) logb24
c) log8(9)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that logb(2)=A and logb3=B Express each of the following in terms of A and B
1a) log%28b%2C4%29+%2B+log%28b%2C9%29
= log%28b%2C2%5E2%29+%2B+log%28b%2C3%5E2%29
= 2log%28b%2C2%29+%2B+2log%28b%2C3%29
= 2A + 2B
---------------------
b) logb24
=
= A + A + A + B
= 3A + B
--------------
c) log8(9)
log%288%2C9%29+=+log%28b%2C9%29%2Flog%28b%2C8%29+=+log%28b%2C3%5E2%29%2Flog%28b%2C2%5E3%29
= 2log%28b%2C3%29%2F%283log%28b%2C2%29%29
= 2B/3A