SOLUTION: If 3^a=4, 4^b=5, 5^c=6, 6^d=7, 7^e=8, 8^f=9, find the value of the product abcdef

Algebra ->  Exponents -> SOLUTION: If 3^a=4, 4^b=5, 5^c=6, 6^d=7, 7^e=8, 8^f=9, find the value of the product abcdef      Log On


   

Question 989323: If 3^a=4, 4^b=5, 5^c=6, 6^d=7, 7^e=8, 8^f=9, find the value of the product abcdef
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

If 3^a=4, 4^b=5, 5^c=6, 6^d=7, 7^e=8, 8^f=9, find the value of the product abcdef

x%5Ey+=+k
ln%28x%5Ey%29+=+ln%28k%29
y%2Aln%28x%29+=+ln%28k%29
y+=+ln%28k%29%2Fln%28x%29

Use that result on eack of those 6 equations:

a+=+ln%284%29%2Fln%283%29
b+=+ln%285%29%2Fln%284%29
c+=+ln%286%29%2Fln%285%29
d+=+ln%287%29%2Fln%286%29
e+=+ln%288%29%2Fln%287%29
f+=+ln%289%29%2Fln%288%29

abcdef = 

abcdef = 

abcdef = ln%289%29%2Fln%283%29

abcdef = ln%283%5E2%29%2Fln%283%29

abcdef = 2ln%283%29%2Fln%283%29

abcdef = 2cross%28ln%283%29%29%2Fcross%28ln%283%29%29

abcdef = 2

Edwin