SOLUTION: Please help me with this problem, I have a test very soon..thanks! Given that log[a](3)=0.62826 and log[a](4)=0.8614, find log[a](36)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me with this problem, I have a test very soon..thanks! Given that log[a](3)=0.62826 and log[a](4)=0.8614, find log[a](36)      Log On


   

Question 459529: Please help me with this problem, I have a test very soon..thanks!
Given that log[a](3)=0.62826 and log[a](4)=0.8614, find log[a](36)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
36 = 3*3*4
log(36) = log(3) + log(3) + log(4)
log%28a%2C36%29+=+2.11792
-------------------
It wasn't asked for, but:
2.11792*ln(a) = ln(36)
ln(a) = ln(36)/2.11792
a = 5.430326