Question

3^2x+4 + 1= 2 into 3^x+2
Solve for x

Answer 1

Answer:

Quadratic Equations

\begin{gathered} {3}^{2x + 4} + 1 = 2 \times {3}^{x + 2} \\ ( {3}^{x + 2)2} + 1 = 2 \times {3}^{x + 2}\end{gathered}

3

2x+4

+1=2×3

x+2

(3

x+2)2

+1=2×3

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 (+_+)

Step-by-step explanation:

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