Latest A website Aptitude Question SOLUTION: If 4^a=5 5^b=6 6^c=7 7^d=8 Then find the value of abcd

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(#M40152360) A WEBSITE Logical Reasoning question Value of abcd Keep an EYE

If 4^a=5 5^b=6 6^c=7 7^d=8 Then find the value of abcd

Asked In A website varun Galar (9 years ago)

Solved PraveeNkumar Read Solution (2)

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PraveeNkumar  (9 years ago) Best Solution

Given :-4^a=5, 5^b=6, 6^c=7 , 7^d=8
Now taking log on both sides , we get
alog4=log5 》》》 a=log5/log4
blog5=log6 》》》 b=log6/log5
clog6=log7 》》》 c=log7/log6
dlog7=log8 》》》 d=log8/log7
Therefore ,abcd = log8 /log4 》》》 3log2/2log2 》》 3/2
abcd=3/2

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sweety  (9 years ago)

4^a=5 --> a=log5 4 --> a=log4/log5
similarly b=log 6/log5, c=log7/log6, d=log8/log7
now abcd= log8/log 4 --> log4 8

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