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a)
\(2^n=16\Rightarrow n=4\)
b)
\(4^n=4096\Rightarrow n=6\)
c)
\(6^{n+3}=216\Rightarrow n=0\)
d)
\(3^n=243\Rightarrow n=5\)
e)
\(5^n=15625\Rightarrow n=6\)
f)
\(4^n=1024\Rightarrow n=5\)
\(a,2^n=16\Leftrightarrow2^n=2^4\Leftrightarrow n=4\)
\(3^n=243\Rightarrow3^n=3^5\Leftrightarrow n=5\)
\(b,4^n=4096\Rightarrow4^n=4^6\Leftrightarrow n=6\)
\(5^n=15625\Rightarrow5^n=5^6\Leftrightarrow n=6\)
\(c,6^{n+3}=216\Rightarrow6^{n+3}=6^3\Rightarrow n+3=3\Leftrightarrow n=0\)
\(4^{n-1}=1024\Rightarrow4^{n-1}=4^5\Rightarrow n-1=5\Leftrightarrow n=6\)
\(a.\) \(2^n=16\Rightarrow2^n=2^4\Leftrightarrow n=4\)
\(3^n=243\Rightarrow3^n=3^5\Leftrightarrow n=5\)
\(b.\) \(4^n=4096\Rightarrow4^n=4^6\Rightarrow n=6\)
\(5^n=15625\Rightarrow5^n=5^6\Rightarrow n=6\)
\(c.\) \(6^{n+3}=216\Rightarrow6^{n+3}=6^3\Rightarrow n+3=3\Rightarrow n=0\)
\(4^{n-1}=1024\Rightarrow4^{n-1}=4^5\Rightarrow n-1=5\Rightarrow n=6\)
1) 4n = 4096
<=> 4n = 46
<=> n = 6
=> x = 6
2) 5n = 15625
<=> 5n = 56
<=> n = 6
=> x = 6
3) 6n + 3 = 216
<=> 6n + 3 = 63
<=> n + 3 = 0
<=> n = 0
=> n = 0
4) 4n - 1 = 1024
<=> 4n - 1 = 45
<=> n - 1 = 5
<=> n = 6
=> n = 6
a) \(4^n=4096\Rightarrow4^n=4^6\Rightarrow n=6\)
b) \(5^n=15625\Rightarrow5^n=5^6\Rightarrow n=6\)
c) \(6^{n+3}=216\Rightarrow6^{n+3}=6^3\Rightarrow n+3=3\Rightarrow n=0\)
d) \(x^2=x^3\Rightarrow x^3-x^2=0\Rightarrow x^2\left(x-1\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x-1=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
e) \(3^{x-1}=27\Rightarrow3^{x-1}=3^3\Rightarrow x-1=3\Rightarrow x=4\)
f) \(3^{x+1}=9\Rightarrow3^{x+1}=3^2\Rightarrow x+1=2\Rightarrow x=1\)
g) \(6^{x+1}=36\Rightarrow6^{x+1}=6^2\Rightarrow x+1=2\Rightarrow x=1\)
h) \(3^{2x+1}=27\Rightarrow3^{2x+1}=3^3\Rightarrow2x+1=3\Rightarrow2x=2\Rightarrow x=1\)
i) \(x^{50}=x\Rightarrow x^{50}-x=0\Rightarrow x\left(x^{49}-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{49}-1=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x^{49}=1=1^{49}\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
4n = 4096
4n = 212
n = 12
5n = 15625
5n = 56
n = 6
6n+3 = 216
6n+3 = 23.33
6n+3 = 63
n + 3 = 3
a) 27. 3n=243. 3n
=243:27
=9. có 3n
=9=32.
=>3n=32. => n=2.
a) n = 4 ; n = 5
b) n = 6 ; n = 6
c) n = 0 ; n = 6