please help me to solve the problem...With full process....
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⭐Actually Welcome to the Concept of the Logarithms and it's properties
⭐Basically here we are going to use the property that's
⭐log a base b = log a/ log b
and also
⭐Log m raised to power n = n log m
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Answer:
Let:
log1/b(a) = x => 1/b^x = a … (1)
log1/c(b) = y => 1/c^y = b … (2)
log1/a(c) = z => 1/a^z = c … (3)
Then by (1), (2) and (3), it follows that:
a =1/b^x
=> a = (1/c^y)^x
=> a = 1/c^(xy)
=> a = (1/a^z)^(xy)
=> a^1 = 1/a^(xyz)
=> a^1 = a^(-xyz)
=> xyz = -1 …....................(4)
Therefore, by (4) we take:
[log1/b(a)][log1/c(b)[log1/a(c)] = (-1) (Ans.)
( This one is the best and easiest method I think ,
I didn't understand other solution that was given here)
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