Question 1020915: Simplify
Log base 3(17/25) + log base 3(600/119) - log base 3(8/7)
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! Hi there,
Log base 3(17/25) + log base 3(600/119)
Using logb(mn) = logb(m) + logb(n)
log base 3 ( 17/25 x 600/119)
Cancel out 17:119 to get 1:7
Cancel out 25:600 to get 1:24
Log base 3 (1/1 x 24/7)
Log base 3 (24/7)
.............
Log base 3 (24/7) - log base 3 (8/7)
Using logb(m/n) = logb(m) – logb(n)
log base 3 (24/7 divided by 8/7)
Log base 3 (24/7 x 7/8)
Cancel out 7:7 to get 1:1
Cancel out 24:8 to get 3:1
Log base 3 (3)
Using log base a (a) = 1
Log base 3 (3) = 1
Hope this helps :-)
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