ICSE Class 9 Answered
find a & b if a^(a+1) = 16^(b+2) and (1/2)^(3+a)=(1/4)^3b
Asked by | 30 Apr, 2013, 08:38: PM
Expert Answer
a^(a+1) = 16^(b+2) (1)
Also, (1/2)^(3+a)=(1/4)^3b
i.e.(1/2)^(3+a)=(1/2)^6b
Comparing powers as the bases are same
3+a = 6b
a = 6b-3
Substituting it in the first equation
(6b-3)^(6b-2) = 16^(b+2)
this equation is not satisfied for any value of b
Hence, there exists no solution.
Answered by | 01 May, 2013, 07:20: PM
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