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1) \(2^x-15=17\)
\(\Leftrightarrow2^x=32=2^5\)
\(\Rightarrow x=5\)
2) \(\left(7x-11\right)^3=25\cdot5^2+200\)
\(\Leftrightarrow\left(7x-11\right)^3=825\)
\(\Leftrightarrow7x-11=\sqrt[3]{825}\)
\(\Leftrightarrow7x=11+\sqrt[3]{825}\)
\(\Rightarrow x=\frac{11+\sqrt[3]{825}}{7}\)
3) \(\left(x+1\right)^{100}-3\left(x+1\right)^{99}=0\)
\(\Leftrightarrow\left(x+1\right)^{99}\left(x-2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x+1\right)^{99}=0\\x-2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)
4) \(4x+5\left(x+3\right)=105\)
\(\Leftrightarrow9x+15=105\)
\(\Leftrightarrow9x=90\)
\(\Rightarrow x=10\)
5) \(5\cdot\left(x-2\right)+10\left(x+3\right)=170\)
\(\Leftrightarrow5\left[x-2+2\left(x+3\right)\right]=170\)
\(\Leftrightarrow3x+4=34\)
\(\Leftrightarrow3x=30\)
\(\Rightarrow x=10\)
12 + ( 5 + x ) = 20 5.22 + ( x + 3 ) = 52 23 + ( x + 3 ) = 52 43 - ( x - 2 ) = 52
17 + x = 20 5.4 + x + 3 = 25 8 + x + 3 = 25 64 - x + 2 = 25
x = 20 - 17 20 + 3 + x = 25 11 + x = 25 66 - x = 25
x = 3 23 + x = 25 x = 25 - 11 x = 66 - 25
x = 25 - 23 x = 14 x = 41
x = 2
Đăng nhìu v bn :) Đáng quan ngại đây :)
2.(x + 3) = 23 . 32
=> 2.(x + 3) = 8.9
=> 2.(x + 3) = 72
=> x + 3 = 72 : 2
=> x + 3 = 36
=> x = 36 - 3
=> x = 33
Chúc bạn học tốt !!!!!
\(2x+3=2^3+3^2\)
\(\Leftrightarrow2x+3=8+9\)
\(\Leftrightarrow2x+3=17\)
\(\Leftrightarrow2x=17-3\)
\(\Leftrightarrow2x=14\)
\(\Leftrightarrow x=7\)
_Hắc phong_
\(2^3\cdot2^2\cdot2^x\cdot x^5\cdot=2^{5+x}\cdot x^5\)
\(10^2\cdot2^{10}\cdot10^3\cdot10^5=10^{10}\cdot2^{10}=2^{10}\cdot5^{10}\cdot2^{10}=4^{10}\cdot5^{10}=20^{10}\)
\(a^3\cdot a^2\cdot a^5=a^{3+2+5}=a^{10}\)
P/s: Mình chỉ hiểu ý bạn như này!
bài 1) thực hiện phép tính
a) \(4^5-81:3^2=1024-9=1015\)
b) \(3^2.22-3^2.12=3^2.2\left(11-6\right)=18.5=90\)
c) \(2^3.15-\left[115-\left(12-5\right)\right]=120-\left(115-12+5\right)=120-115+12-5=12\)
d) \(3.3^2-19^{21}:19^{20}+2010^0=27-19+1=9\)
e)\(7^{25}:\left(7^{21}.46+7^{21}.3\right)=7^{25}:\left(7^{21}.49\right)=\frac{7^{21}.7^4}{7^{21}.49}=\frac{2401}{49}=49\)
bài 2)Tim x
a) 716 - (x - 143) = 695
<=> x - 143 = 716 - 695
<=> x - 143 = 21
<=> x = 21 + 143
<=> x = 164
vậy x = 164
a)4^50=(2^2)^50=2^100
Vậy 2^100=4^50
b) 4^3x5^3=(4x5)^3=20^3
Vì 20^3>19^3 nên 4^3x5^3>19^3
Tìm x:
3^2x4^2:(x-2)=12
(3x4)^2:(x-2)=12
12^2:(x-2)-12
x-2=12^2:12
x-2=12
x=12+2
x=14
\(a,\left|x\right|-2=7-\left(-8\right)\)
\(\Rightarrow\left|x\right|-2=15\)
\(\Rightarrow\left|x\right|=17\)
\(\Rightarrow\orbr{\begin{cases}x=-17\\x=17\end{cases}}\)
\(b,5^{2x-3}-2.5^2=5^2.3\)
\(\Rightarrow5^{2x-3}-50=75\)
\(\Rightarrow5^{2x-3}=125\)
\(\Rightarrow5^{2x-3}=5^3\)
\(\Rightarrow2x-3=3\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
2x+3=2^3.3^2
2x+3=8.9=72
2x=69
x=69/2
2x+3=23.32
=>2x+3=8.9
=>2x+3=72
=>2x=72-3
=>2x=69
=>x=69:2=34,5