Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a)16^n<128^4
=>(2^4)^n<(2^7)^4
=>2^4n<2^28
=>4n<28
=>n<28:4
=>n<7
=>n E {0;1;2;3;4;5;6}
b)32<2^n<128
=>2^5<2^n<2^7
=>5<n<7
=>n=6
c)2.16>2^n>4
=>2.2^4>2^n>2
=>2<2^n<2^5
=>1<n<5
=>n E {2;3;4}
tick nhé
a)
1/9 . 34.3n=37
=>3-2.34.3n=37
=>3-2+4+n=37
=>-2+4+n=7
=>n=7-(-2)-4
=>n=5
Bài 1 :
a, Ta có : \(\left(-123\right)+\left|-13\right|+\left(-7\right)\)
= \(\left(-123\right)+13+\left(-7\right)=\left(-117\right)\)
b, Ta có : \(\left|-10\right|+\left|45\right|+\left(-\left|-455\right|\right)+\left|-750\right|\)
= \(10+45-455+750=350\)
c, Ta có : \(-\left|-33\right|+\left(-15\right)+20-\left|45-40\right|-57\)
= \(\left(-33\right)+\left(-15\right)+20-5-57=-90\)
1+3+5+...+x=1600
=(x+1).[(x-1):2+1] /2 =1600
=(x+1).(x+1) /2 =1600
=(x+1)^2:2=40^2
=(x+1):2=40
=x+1=80
=x=79
a)2n+1=32
=>2n+1=25
=>n+1=5=>n=4
b)2n+2-2n=
=>2n(22-1)=
=>2n.5=
=>2n=
=>n=
=
a)5^36=(5^3)^12=125^12
11^24=(11^2)^12=121^12
Vi 125^12>121^12=>5^36>11^24
2e)Đặt \(A=1+3+3^2+...+3^{200}\)
\(\Rightarrow3A=3+3^2+3^3+...+3^{201}\)
\(\Rightarrow2A=3^{201}-1\)
\(\Rightarrow A=\frac{3^{201}-1}{2}\)
\(\Rightarrow A< 3^{201}\)
Hay \(1+3+3^2+...+3^{200}< 3^{201}\)
\(a,2^{n+1}=16\)
\(\Leftrightarrow2^{n+1}=2^4\)
\(\Leftrightarrow n+1=4\)
\(\Leftrightarrow n=3\)
\(b,2.2^n=32\)
\(\Leftrightarrow2^{n+1}=2^5\)
\(\Leftrightarrow n+1=5\)
\(\Leftrightarrow x=4\)
\(c,15< 2^n< 70\)
\(\Rightarrow x=\left\{4;5;6\right\}\)
a/ \(2^{n+1}=16\)
\(\Leftrightarrow2^{n+1}=2^4\)
\(\Leftrightarrow n+1=4\)
\(\Leftrightarrow x=3\)
Vậy ..........
b/ \(2.2^n=32\)
\(\Leftrightarrow2^n=16\)
\(\Leftrightarrow2^n=2^4\)
\(\Leftrightarrow n=4\)