SOLUTION: Given Log base of 3 of 4 is about 1.26 and the log base of 3 of 28 is about 1.77 1.) the log base of 3 of root 7 2.) te log base of 3 of 12/7

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Given Log base of 3 of 4 is about 1.26 and the log base of 3 of 28 is about 1.77 1.) the log base of 3 of root 7 2.) te log base of 3 of 12/7       Log On


   

Question 740086: Given Log base of 3 of 4 is about 1.26 and the log base of 3 of 28 is about 1.77
1.) the log base of 3 of root 7
2.) te log base of 3 of 12/7
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given Log base of 3 of 4 is about 1.26 and the log base of 3 of 28 is about 1.77
1.) the log base of 3 of root 7
log%283%2C%287%29%29
log%283%2C%2828%2F4%29%29
log%283%2C%2828%29%29-log%283%2C%284%29%29
=1.77-1.26=0.51
..
2.) the log base of 3 of 12/7
log%283%2C%2812%2F7%29%29
log%283%2C%2848%2F28%29%29
log%283%2C%2848%29%29-log%283%2C%2828%29%29
log%283%2C%283%2A16%29%29-log%283%2C%2828%29%29
log%283%2C%283%2A4%5E2%29%29-log%283%2C%2828%29%29
log%283%2C%283%29%29%2B2log%283%2C%284%29%29-log%283%2C%2828%29%29
≈1+2(1.26)-1.77
≈1.75
This answer does not check with a calculator because given log base of 3 of 28 is not correct.
log base of 3 of 28 ≈3.033 instead of 1.77
The correct answer will be:1+2(1.26)-3.033≈0.487 (with this correction)