Question

tìm x  a,5+45(2x-1)=10       b, 54:(2 \(^{x-3}\)+1)+3=9     c, 14+36 :3\(^{x-5}\)=18

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Answer 1

a) 5 + 45(2x - 1) = 10

45(2x - 1) = 10 - 5

45(2x - 1) = 5

2x - 1 = 5 : 45

2x - 1 = 1/9

2x = 1/9 + 1

2x = 10/9

x = 10/9 : 2

x = 5/9

b) 54 : (2ˣ⁻³ + 1) + 3 = 9

54 : (2ˣ⁻³ + 1) = 9 - 3

54 : (2ˣ⁻³ + 1) = 6

2ˣ⁻³ + 1 = 54 : 6

2ˣ⁻³ + 1 = 9

2ˣ⁻³ = 9 - 1

2ˣ⁻³ = 8

2ˣ⁻³ = 2³

x - 3 = 3

x = 3 + 3

x = 6

c) 14 + 36 : 3ˣ⁻⁵ = 18

36 : 3ˣ⁻⁵ = 18 - 14

36 : 3ˣ⁻⁵ = 4

3ˣ⁻⁵ = 36 : 4

3ˣ⁻⁵ = 9

3ˣ⁻⁵ = 3²

x - 5 = 2

x = 2 + 5

x = 7

Answer 2

a: =>45(2x-1)=5

=>2x-1=1/9

=>2x=10/9

=>x=5/9

b: =>\(\dfrac{54}{2^{x-3}+1}=6\)

=>\(2^{x-3}+1=9\)

=>\(2^{x-3}=8\)

=>x-3=3

=>x=6

c: \(14+36:3^{x-5}=18\)

=>\(\dfrac{36}{3^{x-5}}=18-14=4\)

=>\(3^{x-5}=9\)

=>x-5=2

=>x=7