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Verizon [17]
2 years ago
11

4* - 5(2*) + 4 = 0, u = 2* [Note: 4* = (2*)^2 Use the substitution given

Mathematics
1 answer:
KengaRu [80]2 years ago
5 0

Answer:

x = 0, 2

Step-by-step explanation:

{4}^{x}  - 5( {2}^{x} ) + 4 = 0 \\   {({2}^{x})}^{2}    - 5( {2}^{x} ) + 4 = 0 \\  {u}^{2}  - 5u + 4 = 0 \\ (u - 1)(u - 4) = 0 \\ u = 1 \: or \: u = 4 \\  {2}^{x}  = 1 \: or \:  {2}^{x}  = 4 =  {2}^{2}  \\ x = 0 \: or \: x = 2

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