PLEASE SOLVE THE SUM .
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Step-by-step explanation:
Given :-
log 4 ^log2^log√2^log3^(x-2006) =0
To find:-
Find the value of x for :
log 4 ^log2^log√2^log3^(x-2006) = 0
Solution:-
Given that:
log 4 ^log2^log√2^log3^(x-2006) =0
We know that
a^x= N=> log a(N) = x
=> log2^log√2^log3^(x-2006) = 4^0
=> log2^log√2^log3^(x-2006) = 1
Again On applying above formula
=> log√2^log3^(x-2006) = 2^1
=> log√2^log3^(x-2006) = 2
Again On applying above formula
=> log3^(x-2006) = (√2)^2
=> log3^(x-2006) = 2
Again On applying above formula
=> x-2006 = 3^2
=> x-2006 = 9
=> x = 9+2006
=>x = 2015
Answer:-
The value of x for the given problem is 2015
Used formula:-
- a^x= N=> log a(N) = x
- Where base is a ,number is N
- ^ represents power
Answered by
1
Step-by-step explanation:
x = 2015
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