SOLUTION: Write as a single logarithm and approximate the value to the nearest hundredth: 2logbase[5]3+logbase[5]96-(1/3)logbase[5}64

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write as a single logarithm and approximate the value to the nearest hundredth: 2logbase[5]3+logbase[5]96-(1/3)logbase[5}64      Log On


   

Question 185160: Write as a single logarithm and approximate the value to the nearest hundredth:
2logbase[5]3+logbase[5]96-(1/3)logbase[5}64
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write as a single logarithm and approximate the value to the nearest hundredth:
2logbase[5]3+logbase[5]96-(1/3)logbase[5}64
------------
2log(3) + log(96) - (1/3)log(64) all base 5
=log(9) + log(96) -log(4)
=log(9*96/4)
=log%285%2C216%29
=log%2810%2C216%29%2Flog%2810%2C5%29
=~ 3.34