Question

2^2x+3+1=3^2×2^x solve this problem​

Answer 1

2^(2x+3)-3^2.2^x+1=0

or, (2^2x)×(2^3)-9.2^x+1=0

or , 8×2^2x-9×2^x+1=0

or, 8×(2^x)^2–9×2^x+1=0

or, 8m^2–9m+1=0 ,asuming 2^x=m

or, 8m^2–8m-m+1=0

or, 8m(m-1)-1(m-1)=0

or, ( m-1)(8m-1)=0

or, m=1 or 1/8

when m=1 , 2^x=1=2^0 , x=0

when m=1/8, 2^x=1/8=1/2^3=2^(-3)

x= (-3)

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Answer 2

Answer:

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