quadratic solve ..........

Solve

1. 4^x -3^x-12 = 3^x+12 - 2^2x-1

2. 2^x² : 2^x =8:1

ans1 is x=1+-√13 /2

ans 2 is x=3/2

2 Answers

2^x²-x=2³
equating powers

x²-x=3

x= +1Â±âˆš1+122
x= +1Â±âˆš132

2^2x + 2^2x-1= 3^(2x+1)/2+3^(2x-1)/2

2^2x(1+12) = 3^x(âˆš3 + 1/âˆš3)

(43)^x = (âˆš3 + 1/âˆš3)1+12

(43)^x = 4*23*âˆš3 = (43)^3/2

x=3/2

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