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a, 16/2n=2
<=>2n=8
<=>n=4
b, (-3)^n =-27*81=-2187
n=7( vì (-3)^7 =-2187
c, 8^n : 2^n =4
<=> (8:2)^n=4
4^n=4
n=1
\(a,\frac{16}{2^n}=2\)
\(\Rightarrow\frac{16}{2^n}=\frac{2}{1}\)
\(\Rightarrow2^n.2=16\)
\(\Rightarrow4^n=4^2\)
\(\Rightarrow n=2\)
\(b,\frac{\left(-3\right)^n}{81}=-27\)
\(\Rightarrow\left(-3\right)^n=81.\left(-27\right)\)
\(\Rightarrow\left(-3\right)^n=-2187\)
\(\Rightarrow\left(-3\right)^n=\left(-3\right)^7\)
\(\Rightarrow n=7\)
a)\(2.16\ge2^n>4\)
\(2.2^4\ge2^n>2^2\)
\(2^5\ge2^n>2^2\)
\(5\ge n>2\)
\(\Rightarrow n\in\left(5,4,3\right)\)
b)\(9.27\le3^n\le243\)
\(3^2.3^3\le3^n\le3^5\)
\(3^5\le3^n\le3^5\)
\(\Rightarrow n=5\)
a) \(\left(\frac{1}{3}\right)^n=\frac{1}{27}\)
\(\left(\frac{1}{3}\right)^n=\left(\frac{1}{3}\right)^3\)
\(\Rightarrow n=3\)
b) \(\left(\frac{3}{5}\right)^n=\frac{81}{625}\)
\(\left(\frac{3}{5}\right)^n=\left(\frac{3}{5}\right)^4\)
\(\Rightarrow n=4\)
c) \(3^n\cdot2^n=36\)
\(\left(3\cdot2\right)^n=36\)
\(6^n=6^2\)
\(\Rightarrow n=2\)
d) \(\frac{2^n}{3^n}=\frac{8}{27}\)
\(\left(\frac{2}{3}\right)^n=\left(\frac{2}{3}\right)^3\)
\(\Rightarrow n=3\)
a, \(\frac{16}{2^n}=2\)
\(\frac{2^4}{2^n}=2\)
24 : 2 = 2n
2n = 23
n =3
b) 8n :2n =4
(8:2)n = 4
4n = 4
nên n = 1