Question

If 3^(x+1 )= 9^(x-2), find the value of 2^(1+x ).
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Answer 1

Step-by-step explanation:

Given,3^x+1=9^x-2

or,3^x+1=(3^2)^x-2

or,3^x+1=3^2x-2

By taking 3 as common,

or,x+1=2x-2

or,x-2x=-1-2

or,-X=-3

or,x=3

Again,

2^1+x

By putting the value x=3 we get,

2^1+3

=214

=16

Answer:16