SOLUTION: Which one has more value(or which is bigger?)? log2(3) or log3(8) Solve it without using calculator,please.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Which one has more value(or which is bigger?)? log2(3) or log3(8) Solve it without using calculator,please.       Log On


   

Question 955098: Which one has more value(or which is bigger?)? log2(3) or log3(8)
Solve it without using calculator,please.

Found 2 solutions by lwsshak3, herosz:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Which one has more value(or which is bigger?)? log2(3) or log3(8)
Solve it without using calculator,please.
***
log2(3)
convert to base 3
log3(3)/log3(2)
..
log3(8)
3log3(2)
..
3log3(2) <=======>log3(3)/log3(2)
(3log3(2))^2/3log3(2)<=======>3log3(3)/3log3(2)
(3log3(2))^2/3log3(2)<=======>3/3log3(2)
(3log3(2))^2>3
log3(2)>1
so, log3(8)>log2(3)

Answer by herosz(4) About Me  (Show Source):
You can put this solution on YOUR website!
.
log3(2) > 1 it's not true! ( because: 2 < 3^1 )
so one correct solution would be:
.
.