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a) \(\text{2(x-51)=2.2^2+20}\)
\(2\left(x-51\right)=2.4+20\)
\(2\left(x-51\right)=28\)
\(x-51=28\div2\)
\(x-51=14\)
\(x=14+51\)
\(\text{b)3.(x+1)-26=541}\)
\(3.\left(x+1\right)=541+26\)
\(3\cdot\left(x+1\right)=567\)
\(x+1=567\div3\)
\(x+1=189\)
\(x=189-1\)
\(x=188\)
\(x=65\)
\(\text{c)4(x-3)=7^2-1^10}\)
\(4\left(x-3\right)=49-1\)
\(4\left(x-3\right)=48\)
\(x-3=48\div4\)
\(x-3=12\)
\(x=12+3\)
\(x=15\)
\(\text{e)2x-138=2^3.3^2}\)
\(2x-138=8\cdot9\)
\(2x-138=72\)
\(2x=72+138\)
\(2x=210\)
\(x=210\div2\)
\(x=105\)
\(\text{f)(x-1)^4=16}\)
\(\left(x-1\right)^4=2^4\)
\(x-1=2\)
\(x=2+1\)
\(x=3\)
tìm số tự nhiên x biết
a, 2x - 15 =17
=> 2x = 17 + 15 = 32
=> 2x = 25
=> x = 5
b, ( 7x - 11)3 = 25 x 52+200
=> ( 7x - 11 )3 = 32 . 25 + 200
=> ( 7x - 11 )3 = 1000
=> ( 7x - 11 )3 = 103
=> 7x - 11 = 10
=> 7x = 10 + 11 = 21
=> x = 21 : 7 = 3
a)\(\left(9x-2^3\right):5=2\)
\(9x-8=2.5\)
\(9x-8=10\)
\(9x=10+8\)
\(9x=18\)
\(x=18:9\)
\(x=2\)
tìm số tự nhiên x biết
a, ( a.x + 1 )3 = 125
b, ( x - 5 )4 = ( x - 5 )6
c, ( 7.x -11 )3 = 25 . 52 + 200
a ) ( a . x + 1 ) ^3 = 125
( a . x + 1 ) ^3 = 5^3
=> a . x + 1 = 5
a . x = 4
=> a,x { 1 ; 2 ; 4 }
b ) ( x - 5 )^4 = ( x - 5 )^6
=> x - 5 = 0
x = 0 + 5
x = 5
c ) ( 7 . x - 11 )^3 = 2^5 . 5^2 + 200
( 7 . x - 11 )^3 = 32 . 25 + 200
( 7 . x - 11 )^3 = 8 . 4 . 25 + 200 = 8 ( 100 ) + 200 = 800 + 200 = 1000
( 7 . x - 11 )^3 = 10^3
=> 7 . x - 11 = 10
7 . x = 10 + 11
7 . x = 21
x = 21 : 7
x = 3
a, ( x + 1 )3 = 125
( x + 1 )3 = 53
x + 1 = 5
x = 5 - 1
x = 4
b, ( x - 5 )4 = ( x - 5 )6
TH1:
( x - 5 )4 = 0
x - 5 = 0
x = 0 + 5
x = 5
TH2:
( x - 5 )6 = 1
x - 5 = 1
x = 1 + 5
x = 6
=> x \(\in\){5;6}
c, ( 7 . x - 11 )3 = 25 . 52 + 200
( 7 . x - 11 )3 = 32 . 25 + 200
( 7 . x - 11 )3 = 800 + 200
( 7 . x - 11 )3 = 1000
( 7 . x - 11 )3 = 103
7 . x - 11 = 10
7 . x = 10 + 11
7 . x = 21
x = 21 : 7
x = 3
9x+5.4 = 200 4x-20 = 2^5:2^2 2.3^x-5=157
9x+ 20 = 200 4x-20 = 2^3 2.3^x=157+5
9x = 200-20 4x-20 = 8 2.3^x=162
9x = 180 4x = 8+20 3^x=162:2
x= 180 : 9 4x = 28 3^x=81
x=2 x = 28:4 mà 3^4=81 => x=4
x = 7