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.Com
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)   (Show Source): You can put this solution on YOUR website!
.
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)
~~~~~~~~~~~~~~

 =  =  +  =  =  = 2*0.5646 +  = 


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

Solved.



RELATED QUESTIONS

Approximate the logarithm using the properties of logarithms, given logb2=.3562,... (answered by stanbon,Theo,MathTherapy)
Approximate the logarithm using the properties of logarithms, given the values logb 2... (answered by jsmallt9)
Approximate the following logarithm using the properties of logarithms given.... (answered by Alan3354)
Approximate the logarithm using the properties of logarithms, given logb(2) ≈ 0.3562, (answered by greenestamps)
Approximate the following logarithms using the properties of logarithms, given logb... (answered by josmiceli)
Given that logb(3)=0.16 and logb(5)=0.87 , use the properties of logarithms to find... (answered by josgarithmetic)
Assume that logb^4=0.6021, logb^7=0.8451 and logb^9=0.9542. Use these values and the... (answered by Alan3354)
Given that logb(3)=0.16 and logb(5)=0.87 , use the properties of logarithms to find... (answered by josgarithmetic)
Assume that x, y, z, and b are positive numbers and b ≠ 1. Use the properties of... (answered by Alan3354)