plz solve 4 th one. I want it to be solved fast
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Consider the statement
3 x (log 2 x log 3) = 3 x (log 2 x log 3)
LHS = RHS
Now,
(3 x log 2) x log 3 = (3 x log 3) x log 2
= (log 2^3) x log 3 = ( log3^3) x log 2
= log 8 x log 3 = log 27 x log 2
Assume log 2 = x and log 3 = y ....... (1)
= y log 8 = x log 27
= log 8^y = log 27^x
Cancel Log both side
8^y = 27^x ..................... (2)
Substitutuing (1) in (2)
8^log3 = 27^log2
OR
27^log 2 = 8^log 3
3 x (log 2 x log 3) = 3 x (log 2 x log 3)
LHS = RHS
Now,
(3 x log 2) x log 3 = (3 x log 3) x log 2
= (log 2^3) x log 3 = ( log3^3) x log 2
= log 8 x log 3 = log 27 x log 2
Assume log 2 = x and log 3 = y ....... (1)
= y log 8 = x log 27
= log 8^y = log 27^x
Cancel Log both side
8^y = 27^x ..................... (2)
Substitutuing (1) in (2)
8^log3 = 27^log2
OR
27^log 2 = 8^log 3
Coolsam:
bhai i have said u have to solve 4 th question
Answered by
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Heya!
The answer is in the attachment.
Hope it helps
Priyanka429 here
The answer is in the attachment.
Hope it helps
Priyanka429 here
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