SOLUTION: Given that {{{log(10,(2))}}} is approximately 0.301 and {{{log(10,(3))}}} approx. 0.477, find {{{log(9,(8))}}}.

Question 315465: Given that is approximately 0.301 and approx. 0.477, find .
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
Given that is approximately 0.301 and approx. 0.477, find .


Use the change of base formula:



Let the  be 9 and the  be 10, and X be 8.

Then we have:



Then write 

 as  

and

write  as 

Then use the rule 

to write those as

 

and



So from start to finish we have:

 

Edwin

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