SOLUTION: Approximate the logarithm using the properties of logarithms, given the values logb(2) ≈ 0.3562, logb(3) ≈ 0.5646, and logb(5) ≈ 0.8271. Round your result to four

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Approximate the logarithm using the properties of logarithms, given the values logb(2) ≈ 0.3562, logb(3) ≈ 0.5646, and logb(5) ≈ 0.8271. Round your result to four      Log On


   

Question 1183187: Approximate the logarithm using the properties of logarithms, given the values
logb(2) ≈ 0.3562,

logb(3) ≈ 0.5646,
and
logb(5) ≈ 0.8271.
Round your result to four decimal places.
logb(9000)
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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Approximate the logarithm using the properties of logarithms, given the values
logb(2) ≈ 0.3562,
logb(3) ≈ 0.5646,
and
logb(5) ≈ 0.8271.
Round your result to four decimal places.
logb(9000)
~~~~~~~~~~~~~~ 

log%28b%2C%289000%29%29 = log%28b%2C%289%2A1000%29%29 = log%28b%2C9%29 + log%28b%2C1000%29 = 2%2Alog%28b%2C3%29 = 3%2Alog%28b%2C10%29 = 2*0.5646 + 3%2A%28log%28b%2C2%29+%2B+log%28b%2C5%29%29 = 


           = 2*0.5646 + 3*(0.3562 + 0.8271) = 4.6791.      ANSWER

Solved.