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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
Trl :
\(\frac{1}{9}.27^n=3^{n+2}\)
\(3^{-2}.\left(3^3\right)^n=3^{n+2}\)
\(3^{-2}.3^{3n}=3^{n+2}\)
\(\Rightarrow-2+3n=n+2\)
\(\Rightarrow3n=n+4\)
\(\Rightarrow2n=4\)\(\Rightarrow n=2\)
Hok tốt
Trl :
\(\frac{1}{9}3^4.3^n=3^7\)
\(3^{-2}.3^4.3^n=3^7\)
\(\Rightarrow-2+4+n=7\)
\(\Rightarrow2+n=7\)
\(\Rightarrow n=7-2\)
\(\Rightarrow n=5\)
Hok tốt !
#)Giải :
\(\frac{1}{9}.3^4.3^n=3^7\)
\(\frac{1}{9}.81.3^n=3^7\)
\(9.3^n=3^7\)
\(3^2.3^n=3^7\)
\(\Rightarrow2+n=7\)
\(\Rightarrow n=5\)
#~Will~be~Pens~#
a) -24+3(x-4)=111
=>3(x-4)=111-(-24)
=>3(x-4)=135
=>(x-4)=135:3
=>x-4=45
=>x=45+4
=>x=49
Vậy x=49
b)(2x-4)(3x+63)=0
=>\(\hept{\begin{cases}\left(2x-4\right)\\\left(3x+63\right)\end{cases}}=0\)=>\(\hept{\begin{cases}2x-4=0\\3x+63=0\end{cases}}\)
=>\(\hept{\begin{cases}2x=0+4=4\\3x=0-63=-63\end{cases}}\)=>\(\hept{\begin{cases}x=4:2=2\\x=-63:3=-21\end{cases}}\)
Vậy \(\hept{\begin{cases}x=2\\x=-21\end{cases}}\)
\(\frac{1}{9}.27^n=3^n=>\frac{1}{9}=\frac{3^n}{27^n}=\left(\frac{3}{27}\right)^n=\left(\frac{1}{9}\right)^n\)
=>n=1
vậy n=1
tick nhé
1/9=3n/27n
1/9=(1/9)n
=>n=1