Question

Va rog sa ma ajutati este urgent dau 90 de puncte...rog seriozitate va multumesc ​

Answer 1

Răspuns:

1/2ˣ=4ˣ/8

8=4ˣ*2ˣ

8=2²ˣ*2ˣ

2³=2³ˣ

3x=3

x=1

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2ˣ/3ˣ=3/2

x= -1

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2^√x-1=4

2^√(x-1)=2²=>

√x-1=2

x-1=2²

x-1=4

x=5

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3^(x-2)=(1/3)^√x

(1/3)^(2-x)=(1/3)^√x=>   x≥0  si x≤2=> x∈[0,2]

2-x=√x

(2-x)²=x

x²-4x+4=x

x²-5x+4=0

x1=1∈[0,2]   x2=4∉[0,2]

X1=1 solutie unica

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3ˣ+3⁻ˣ=10/3

3ˣ+1/3ˣ=10/3

3ˣ=y    y>0

y+1/y=10/3

3y²+3=10y

3y²-10y+3=0

y1=1/3   y2=3

revii la x

3ˣ=1/3=>

x1= -1

3ˣ=3 x=1

S={-1,1}

Explicație pas cu pas: