SOLUTION: I am not remembering how to solve this type of problem : Log 2 is similar to 0.301 and log 5 is similar to 0.699. What is the approximate value of the expression log 8/125?

Question 310861: I am not remembering how to solve this type of problem :
Log 2 is similar to 0.301
and log 5 is similar to 0.699.
What is the approximate value of the expression log 8/125?
Found 2 solutions by Earlsdon, scutechandni10:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
If Approx. and...
If Approx. Find...
Substitute and so...
and...
=
Answer by scutechandni10(7) (Show Source): You can put this solution on YOUR website!
Given that log2=0.0301 and log5=0.699
then;
log 8/125= log2^3/log5^3
= 3log2/3log5
= (3log2)-(3log5)
=3(0.0301)-3(0.699)
=0.903-2.097
log8/125=-1.194
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