SOLUTION: Approximate the following logarithm using the properties of logarithms given. logb(2)=0.216 logb(3)=0.343 logb(5)=0.502 logb(25b^2)=???

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Approximate the following logarithm using the properties of logarithms given. logb(2)=0.216 logb(3)=0.343 logb(5)=0.502 logb(25b^2)=???       Log On


   

Question 930418: Approximate the following logarithm using the properties of logarithms given.
logb(2)=0.216
logb(3)=0.343
logb(5)=0.502
logb(25b^2)=???

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log(25b^2) = log(25) + 2log(b)
log%28b%2Cb%29+=+1
----
log(25b^2) = log(5^2) + 2
= 2log(5) + 2
= 1.004 + 2
= 3.004