Question

If 2^(2x-1) = 8^ (3-x), then the value of x is:
a. -1
b. -2
c. 2
d. 3

Answer 1

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Option c is correct


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Answer 2

Solution:2^(2x-1)=8^(3-x)

we can say that,2^(2x-1)={2}^3(3-x)
Here base is same so,
(2x-1)=3(3-x)
or,. (2x-1)=9-3x
or,. 2x+3x=9+1
or,. 5x=10
or,. x=10/5
or,. x=2
So, Option (C) is correct.