Question

For real roots, find the solution of the equation 2^x² : 2^2x = 8 : 1

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Answer 1

x

2

:2

2x

=8:1

2

2x

2

x

2

=

1

8

2

x

2

−2x

=8

2

x

2

−2x

=2

3

Comparing both sides

x

2

−2x=3

x

2

−2x−3=0

x

2

−3x+x−3=0

x(x−3)+1(x−3)=0

(x+1)(x−3)=0

x=−1,3