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3\(^x\) . 3 = 43
=> 3\(^{\left(x+1\right)}\) = 43
=> Không có giá trị x thoả mãn .
49 . \(7^x\) = 2041
7\(^2\) . 7\(^x\) = 2041
7\(^{\left(x+2\right)}\) = 2041
=> \(7^{\left(x+2\right)}\) = 7\(^4\)
=> x + 2 = 4
=> x = 2
Giải:
a) \(100-7\left(x-5\right)=31+3^3\)
\(\Leftrightarrow100-7\left(x-5\right)=31+27\)
\(\Leftrightarrow100-7\left(x-5\right)=58\)
\(\Leftrightarrow7\left(x-5\right)=42\)
\(\Leftrightarrow x-5=6\)
\(\Leftrightarrow x=11\)
Vậy ...
b) \(12\left(x-1\right):3=4^3+2^3\)
\(\Leftrightarrow4\left(x-1\right)=64+8\)
\(\Leftrightarrow4\left(x-1\right)=72\)
\(\Leftrightarrow x-1=18\)
\(\Leftrightarrow x=19\)
Vậy ...
c) \(24+5x=7^5:7^3\)
\(\Leftrightarrow24+5x=7^2\)
\(\Leftrightarrow24+5x=49\)
\(\Leftrightarrow5x=25\)
\(\Leftrightarrow x=5\)
Vậy ...
d) \(5x-206=2^4.4\)
\(\Leftrightarrow5x-206=2^6\)
\(\Leftrightarrow5x-206=64\)
\(\Leftrightarrow5x=270\)
\(\Leftrightarrow x=54\)
Vậy ...
a) 100 - 7.(x-5) = 68
7.(x - 5) = 100 - 68 = 32
x - 5 = \(\frac{32}{7}\)
x = \(\frac{32}{7}+5=\frac{67}{7}\)
b) 2(x-6)+2227:17=151
2( x -6) + 131 = 151
2 (x - 6) = 20
x - 6 = 20 : 2 = 10
x = 10 + 6 = 16
1/ 3(x - 2) = 9 => x - 2 = 3 => x = 5
2/ 3(x - 36) = 216 => x - 36 = 72 => x = 108
3/ (x - 3)3 = 33 => x - 3 = 3 => x = 6
4/ 2x = 32 => 2x = 25 => x = 5
5/ 3x - 16 = 2.74 : 73 = 14 => 3x = 30 => x = 10
6/ (6x - 39) : 3 = 201 => 6x - 39 = 603 => 6x = 642 => x = 107
7/ (3x - 15)2 = 81 => (3x - 15)2 = 92 => 3x - 15 = 9 => 3x = 24 => x = 8
8/ 3(x + 4) = 105 => x + 4 = 35 => x = 31
9/ 12x - 43 = 4.84 : 83 = 32 => 12x = 32 : 64 => 12x = 1/2 => x = 1/24
10/ 41 - (2x - 5) = 680 => 2x - 5 = -639 => 2x = -634 => x = - 317
a,\(12\left(x-1\right).3=4^3-2^3\)
\(\Rightarrow36\left(x-1\right)=64-8\)
\(\Rightarrow36\left(x-1\right)=56\)
\(\Rightarrow x-1=\frac{14}{9}\Rightarrow x=\frac{23}{9}\)
b,\(2^x=16\Rightarrow2^x=2^4\Rightarrow x=4\)
c,\(\left(3x-2^4\right).7^{13}=2.7^{14}\)
\(\Rightarrow3x-16=\frac{2.7^{14}}{7^{13}}\)
\(\Rightarrow3x-16=14\Rightarrow3x=30\Rightarrow x=10\)
\(2^x.2^1=32:2=16\)
\(2^x.2^1=2^4\)
\(2^x=2^{4-1}=2^3\Rightarrow x=3\)
\(7^x.7^{12}=56-7=49\)
\(7^x.7^{12}=7^2\)
\(7^x=7^{2-12}=7^{-10}\Rightarrow x=-10\)
\(3^x.3^1=162:6=27\)
\(3^x.3^1=3^3\)
\(3^x=3^{3-1}=3^2\Rightarrow x=2\)
1, ( x + 12 ) * 3 - 27 = 3^4
( x + 12 ) * 3 - 27 = 81
( x + 12 ) * 3 = 81 + 27
( x + 12 ) * 3 = 108
x + 12 = 108 : 3
x + 12 = 36
x = 36 - 12
x = 24
2, 300 - ( x - 12 ) * 2^2 = 100
300 - ( x - 12 ) * 4 = 100
300 - ( x - 12 ) = 100 : 4
300 - ( x - 12 ) = 25
x - 12 = 300 - 25
x - 12 = 275
(x+12)x3-27=3^4 300-(x-12)x2^2=100
(x+12)x3-3^3=3^4 300-(x-12)x2^2=10^2
(x+12)x3 =3^4+3^3 300-(x-12) =10^2:2^2
(x+12)x3 =3^7 300-(x-12) =25
x+12 =3^7:3 x-12 =300-25
x+12 =729 x-12 =275
x =729-12 x =275+12
x =717. x =287.
Vậy x=717. Vậy x=287.
Tớ chỉ làm đc 2 phần thôi thông cảm nhé.
Nếu đúng thì k cho tớ nha.