Question

solve for x 3^(2x+4)+1=2.3^(x+2)

Answer 1

Quadratic Equations


${3}^{2x + 4} + 1 = 2 \times {3}^{x + 2} \\ ( {3}^{x + 2)2} + 1 = 2 \times {3}^{x + 2}$
=> A²+1 = 2A
=> A²-2A + 1 = 0
=>(A-1)²= 0
=> A = 1
=> 3^(x+2) = 3^0
=> x+2 = 0
=> x = -2

Therefore the value of x is -2

That's it
Hope it helped (+_+)

Answer 2

LET 3^(x+2)=K      ...... (1)

NOW,

3^2(x+2) - 2 X 3^(x+2) + 1 = 0

FROM (1)

K^2 - 2K + 1 = 0

(K-1)^2 = 0

K = 1

NOW SUBSTITUTE THE VALUE AND YOU MAY GET YOUR ANSWER!

HOPE IT HELPS.....    ;)