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aniked [119]
3 years ago
11

Could you solve it? I don't know how to solve it:(

Mathematics
1 answer:
Nikitich [7]3 years ago
5 0

Answer:

-1, 4

Step-by-step explanation:

log_2x+ log_2(x-3)=2 \\ log_2 \{x(x-3) \}=2  \\ x(x - 3) =  {2}^{2}  \\  {x}^{2}  - 3x = 4 \\  {x}^{2}  - 3x - 4 = 0 \\  {x}^{2}  - 4x + x - 4 = 0 \\ x(x - 4) + 1(x - 4) = 0 \\ (x - 4)(x + 1) = 0 \\ x - 4 = 0 \:  \: or \:  \: x + 1 = 0 \\  x = 4 \:  \: or \:  \: x =  - 1 \\  \huge \red{ \boxed{x =  \{ - 1, \:  \: 4 \}}}

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