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a. 3x - 29 = 7
3x = 7 + 29
3x = 36
x = 12
b. 38 - 2x = 50 - 24
38 - 2x = 26
2x = 12
x = 6
a) 301:(3x-29)=43
3x-29=301:43
3x-29 = 7
3x=7+29
3x=36
x=12
b) 50-(38-2x) = 24
50-38+2x=24
2x+12=24
2x=24-12
2x=12
x=6
\(a,2^{x+1}=32\\ 2^{x+1}=2^5\\ x+1=5\\ x=4\\ b,2^{2x}+2^{2x+1}=48\\ 2^{2x}+2\cdot2^{2x}=48\\ 3\cdot2^{2x}=48\\ 2^{2x}=16\\ 2^{2x}=2^4\\ 2x=4\\ x=2\)
\(c,3^x+5\cdot3^{x+1}=144\\ 3^x+15\cdot3^x=144\\ 16\cdot3^x=144\\ 3^x=9\\ 3^x=3^2\\ x=2\\ d,3^{x+5}=9^{x+1}\\ 3^{x+5}=3^{2x+2}\\ x+5=2x+2\\ x=3\)
\(3^2\cdot\left(x+4\right)-5^2=5\cdot22\)
\(\Rightarrow9\cdot\left(x+4\right)-25=110\)
\(\Rightarrow9\cdot\left(x+4\right)=110+25\)
\(\Rightarrow9\cdot\left(x+4\right)=135\)
\(\Rightarrow x+4=\dfrac{135}{9}\)
\(\Rightarrow x+4=15\)
\(\Rightarrow x=15-4\)
\(\Rightarrow x=11\)
`#3107`
\(3^2\cdot\left(x+4\right)-5^2=5\cdot22\\ \Rightarrow3^2\left(x+4\right)=5\cdot22+5^2\\ \Rightarrow9\left(x+4\right)=110+25\\ \Rightarrow9\left(x+4\right)=135\\ \Rightarrow x+4=135\div9\\ \Rightarrow x+4=15\\ \Rightarrow x=15-4\\ \Rightarrow x=11\)
Vậy, `x = 11.`
\(531+\left(28-x\right)=735\\ 28-x=735-531\\ 28-x=204\\ x=28-204\\ x=-176\)
(2x + 1) + (2x + 2) + ... + (2x + 2015) = 0
=> 2015.2x + (1 + 2 + 3 + ... + 2015) = 0
=> 4030x + (2015 + 1).2015 : 2 = 0
=> 4030x = -2031120
=> x = -504
a) (2x - 1).3⁴ = 3⁷
2x - 1 = 3⁷ : 3⁴
2x - 1 = 3³
2x - 1 = 27
2x = 27 + 1
2x = 28
x = 28 : 2
x = 14
Câu b em ghi đề chính xác lại
Em xem câu b phải vầy không?
2ˣ⁺¹ + 4.2ˣ = 3.2¹²
2ˣ.(2 + 4) = 3.2.2¹¹
2ˣ.6 = 6.2¹¹
2ˣ = 2¹¹
x = 11
a) => (12x-4)+(6x+15)=16
=>12x-48+6x+15=16
=>(12x+6x)-(15-48)=16
=>18x-(-33)=16
=>18x=16+(-33)
=>18x=-17
=>x=-17/18
KL
b) =>(-20x+(-40))-(12-30x)=48
=>-20x+(-40)-12+30x=48
=>(-20x+30x)+(-40-12)=48
=>10x+(-52)=48
=>10x=48-(-52)
=>10x=4
=>x=4/10
KL
a) 12( x - 4 ) + 3( 2x + 5 ) = 16
<=> 12x - 48 + 6x + 15 = 16
<=> 18x - 33 = 16
<=> 18x = 49
<=> x = 49/18
b) -10( 2x + 4 ) - 2( 6 - 15x ) = 48
<=> -20x - 40 - 12 + 30x = 48
<=> 10x - 52 = 48
<=> 10x = 100
<=> x = 10
\(2^{2x}+2^{2x+1}=48\)
\(2^{2x}+2^{2x}.2=48\)
\(2^{2x}.\left(1+2\right)=48\)
\(2^{2x}.3=48\)
\(2^{2x}=48:3\)
\(2^{2x}=16\)
\(2^{2x}=2^4\)
\(\Rightarrow2x=4\)
\(x=4:2\)
\(x=2\)
\(2^{2x}+2^{2x+1}=48\\ \Rightarrow2^{2x}+2.2^{2x}=48\\ \Rightarrow\left(1+2\right).2^{2x}=48\\ \Leftrightarrow3.2^{2x}=48\\ \Leftrightarrow2^{2x}=16\\ \Leftrightarrow2^{2x}=2^4\\ \Leftrightarrow2x=4\\ \Leftrightarrow x=2\)
Vậy x = 2