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a) \(\text{2(x-51)=2.2^2+20}\)
\(2\left(x-51\right)=2.4+20\)
\(2\left(x-51\right)=28\)
\(x-51=28\div2\)
\(x-51=14\)
\(x=14+51\)
\(\text{b)3.(x+1)-26=541}\)
\(3.\left(x+1\right)=541+26\)
\(3\cdot\left(x+1\right)=567\)
\(x+1=567\div3\)
\(x+1=189\)
\(x=189-1\)
\(x=188\)
\(x=65\)
\(\text{c)4(x-3)=7^2-1^10}\)
\(4\left(x-3\right)=49-1\)
\(4\left(x-3\right)=48\)
\(x-3=48\div4\)
\(x-3=12\)
\(x=12+3\)
\(x=15\)
\(\text{e)2x-138=2^3.3^2}\)
\(2x-138=8\cdot9\)
\(2x-138=72\)
\(2x=72+138\)
\(2x=210\)
\(x=210\div2\)
\(x=105\)
\(\text{f)(x-1)^4=16}\)
\(\left(x-1\right)^4=2^4\)
\(x-1=2\)
\(x=2+1\)
\(x=3\)
a) ( 15x +2.2\(^3\)) -4=10
\(\Rightarrow15x+2^4=14\)
\(\Rightarrow15x=14-16\)
\(\Rightarrow x=\left(-2\right):15\)
\(\Rightarrow x=-\frac{2}{15}\)
b)\(3x.15^5=15^6\)
\(\Rightarrow3x=15^6:15^5\)
\(\Rightarrow3x=15\)
\(\Rightarrow x=\frac{15}{3}=5\)
56 x 52 = 58
1012 x 102 = 1014
23 x 25 = 28
36 x 32 = 38
41 x 46 = 47
67 x 61 = 68
\(5^6\cdot5^2=5^{6+2}=5^8\)
\(10^{12}\cdot10^2=10^{12+2}=10^{14}\)
\(2^3\cdot2^5=2^{3+5}=2^8\)
\(3^6\cdot3^2=3^{6+3}=3^9\)
\(4^1\cdot4^6=4^{1+6}=4^7\)
\(6^7\cdot6^1=6^{1+7}=6^8\)
Giải:
a) \(70-5\left(x-3\right)=45\)
\(5\left(x-3\right)=70-45\)
\(5\left(x-3\right)=25\)
\(x-3=25:5\)
\(x-3=5\)
\(x=5+3\)
\(x=8\)
70 - 5 ( x - 3 ) = 45
5 ( x - 3 ) = 70 - 45
5 ( x - 3 ) = 25
x - 3 = 25 : 5
x - 3 = 5
=> x = 8
10 + 2 . x = 45 : 43
10 + 2 . x = 42
10 + 2 . x = 16
2 . x = 16 + 10
2 . x = 26
=> x = 13
231 - ( x - 6 ) = 1339 : 13
231 - ( x - 6 ) = 103
x - 6 = 231 - 103
x - 6 = 128
=> x = 134
2 . x - 138 = 23 . 32
2 . x - 138 = 72
2 . x = 72 + 138
2 . x = 210
=> x = 105
a) Có : \(6^{x+2}-6^{x+1}=1080\)
=> \(6^{x+1}.\left(6-1\right)=6^{x+1}.5=1080\)
=> \(6^{x+1}=1080:5=216\)
=> \(6^{x+1}=6^3=216\)
=> x+1 = 3
=> x = 3 - 1 = 2
Vậy x = 2
Ủng hộ mik nhá
\(6^x+6^{x+1}=2^{x+1}+2\cdot2^{x+2}+4\cdot2^x\)
=>\(6^x+6^x\cdot6=2^x\cdot2+4\cdot2^x+4\cdot2^x\)
=>\(6^x\cdot7=2^x\cdot10\)
=>\(3^x=\dfrac{10}{7}\)
=>\(x=log_3\left(\dfrac{10}{7}\right)\)
6\(x\) + 6\(x+1\) = 2\(x+1\) + 2.2\(x+2\) + 4.2\(^x\) (\(x\in\) N)
6\(^x\)(1 + 6) = 2\(^x\).(2 + 2.22 + 4)
6\(^x\).7 = 2\(^x\).(2+ 8 + 4)
6\(x\).7 = 2\(^x\).(10 + 4)
6\(^x\).7 = 2\(^x\).14
6\(^x\) = 2\(^x\).14 : 7
6\(^x\) = 2\(x\).2
6\(^x\) : 2\(^x\) = 2
3\(^x\) = 2 ⇒ 3\(^x\) ⋮ 2 (vô lý) Vậy pt vô nghiệm hay
\(x\in\) \(\varnothing\)