logarithms

Question

Let log_bA=3; log_bC=2; log_bD=5

 

What is the value of log_bA⁵C²/D⁶

 

Answer Choices: -11, -15378, 2, or 49

 

I dont know how to do this..I have tried many times..please help.  Would be much appreciated.  Can you show me how to do this?  So I can be better prepared later on for when I have to do it again.

Answer 1

 

log_b[A⁵C²D^-6]= 5 log_bA + 2 log_bC - 6 log_bD = 15 + 4 - 30 = -11