SOLUTION: Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5) 12. thanks

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5) 12. thanks      Log On


   



Question 43879: Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5) 12.
thanks

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5) 12.

Log(5)12 = Log(5)[3*2^2] = log(5)3 + 2log(5)2
=0.4307 +2(0.6826)
=1.7959
Cheers,
Stan H.