SOLUTION: prove that log base 3 of 5

SOLUTION: prove that log base 3 of 5 < 8/5

Question 1040204: prove that log base 3 of 5 < 8/5
Answer by Aldorozos(172) (Show Source): You can put this solution on YOUR website!

3^x = 5 Let's take the log of both sides
log(3^x) = log5
using log properties
xlog3 = log5
x = log5/log3
Using calculator to find log of 5 you get .7
Using calculator to find log of 3 you get .47
Now we divide these two numbers .7/.47 = 1.49 or approximately 1.5
We know that 1.5<8/5 since 8/5 = 1.6
1.5<1.6
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