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a) 2.3x+2 + 4.3x+1 = 10.32019
<=> 3x+1(6 + 4) = 10.32019
<=> 10.3x+1 = 10.32019
<=> 3x+1 = 32019
<=> x = 2018.
b) (9-4x)3 = 125 = 53
<=> 9 - 4x = 5
<=> 4 = 4x
<=> x = 1
c) 2.22.23....2x = 1024 = 210
<=> 2(1+2+3+...+x) = 210
<=> 1+2+3+...+x = 10
<=>x.(x+1)/2 = 10
<=> x(x+1) = 20 = 4.5
<=> x = 4.
a) \(3^{x+1}.15=135\)
\(\Rightarrow3^{x+1}=9\)
\(\Rightarrow3^{x+1}=3^2\)
\(\Rightarrow x+1=2\)
\(\Rightarrow x=1\)
Vậy \(x=1\)
b) \(x+2x+2^2x+....+2^{2016}x=2^{2017}-1\\ \Rightarrow x\left(2+2^2+...+2^{2016}\right)=2^{2017}-1\\ \Rightarrow x\left(2^{2017}-2\right)=2^{2017}-1\)
c) \(x\left(x-1\right)+\left(x-1\right)^2=0\\ \Rightarrow x\left(x-1\right)+\left(x-1\right)\left(x-1\right)=0\\ \Rightarrow\left(x-1\right)\left(x+\left(x-1\right)\right)=0\\ \Rightarrow\left(x-1\right)\left(2x-1\right)=0\\ \Rightarrow\begin{cases}x-1=0\\2x-1=0\end{cases}\)
d) \(2^2.2^5\le2^{x-5}\le2^{10}\\ \Rightarrow2^7\le2^{x-5}\le2^{10}\)
21 x 22 x 23 x ... x 2x = 1024
=> 21+2+3+...+x = 210
=> 1 + 2 + 3 + ... + x = 10
=> (1 + x).x:2 = 10
=> (1 + x).x = 10.2
=> (1 + x).x = 20
=> (1 + x).x = 5.4
=> x = 4
Vậy x = 4
a,3x.3=243
3x+1=35
x+1=5
x=5-1
x=4
Vậy x=4
b,x20=x
Vô lí vì 1 ko bằng 20
Vậy x E 0
c,2x.162=1024
2x.28=210
2x+8=210
x+8=10
x=10-8
x=2
Vậy x=2
d,64.4x=168
43.4x=416
43+x=416
3+x=16
x=16-3
x=13
Vậy x=13
2x.162 = 1024
=> 2x.(24)2 = 210
=> 2x + 4.2 = 10
=> x + 8 = 10
=> x = 2
vậy_
64.4x = 168
=> 43.4x = (42)8
=> 43 + x = 416
=> 3 + x = 16
=> x = 13
vậy_
2x = 16
=> 2x = 24
=> x = 4
vậy_
a) 3x.3x+2 =81
3x.3x.32 =81
3x.3x.9 =81
3x.3x =81/9
3x.3x =9
31.31 =9
x =1
b)2(x+15)+3(x+25)=2050
2(x+15)+3(x+15+10)=2050
2(x+15)+3(x+15)+3.10=2050
(x+15)(2+5)+30=2050
(x+15)5=2050-30
(x+15)5=2020
x+15=2020/5
x+15=404
x =404-15
x =389
c)2x+2x+1+2x+2+2x+3=960
2x+2x.2+2x.22+2x.23=960
2x(1+2+22+23)=960
2x(1+2+4+8)=960
2x.15=960
2x =960/15
2x =64
26 =64
x =6
bài d làm tương tự c,e làm tương tự a
f)3x.32x+3=729
33x.33=729
33x.27 =729
33x =729/27
33x =27
33.1 =27
x =1
\(2^{x+3}.2^{x+1}=1024\)
\(\Leftrightarrow2^x.2^3.2^x.2=1024\)
\(\Leftrightarrow2^{2x}.2^4=2^{10}\)
\(\Leftrightarrow2^{2x}=2^{10}:2^4\)
\(\Leftrightarrow2^{2x}=2^6\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=3\)
vậy x=3
chúc bn hok tốt
\(2^{x+3}.2^{x+1}=1024\)
\(\Leftrightarrow2^{x+3+x+1}=1024\)
\(\Leftrightarrow2^{2x+4}=2^{10}\)
\(\Rightarrow2x+4=10\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=3\)
HỌC TỐT NHA !