SOLUTION: use log 2=.301, log 3= .699 to compute log (1/20) to the nearest three decimal places.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: use log 2=.301, log 3= .699 to compute log (1/20) to the nearest three decimal places.      Log On


   

Question 523624: use log 2=.301, log 3= .699 to compute log (1/20) to the nearest three decimal places.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
use log 2=.301, log 3= .699 to compute log (1/20) to the nearest three decimal places.
--------------
log(1/20) = 0 - (log(2) + 1)
= -1.301

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
use log 2=.301, log 5= .699 to compute log (1/20) to the nearest three decimal places.
-------
1/20 = 1/(2^2*5)
------
log(1/20) = log(20)^-1 = -log(2^2*5)
----
= -[2log(2) + log(5)]
----
= -[2*0.301 + 0.699]
----
= -1.3010
---------------
Cheers,
Stan H.
===============