Value of ABC
If 5 ^ A = 6 ; 6 ^ B = 7; 7 ^ C = 5. Find the value of ABC?
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Answered by
16
Given
6=5^A---(1)
7=6^B----(2)
7^C=5---(3)
Put (2) in (3)
(6^B)^C=5
6^BC=5 ----(4)
since (a^m)^n= a ^mn
Put (1) in (4)
(5^A)^BC=5
5^(ABC) = 5^1
ABC=1
Since
If a^m=a^n then m=n
6=5^A---(1)
7=6^B----(2)
7^C=5---(3)
Put (2) in (3)
(6^B)^C=5
6^BC=5 ----(4)
since (a^m)^n= a ^mn
Put (1) in (4)
(5^A)^BC=5
5^(ABC) = 5^1
ABC=1
Since
If a^m=a^n then m=n
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0
Answer:
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