a ) 2ⁿ = 16 

2.2.2.2 = 16 nên n = 4

Vậy : 2⁴ = 16

b ) 4ⁿ = 64

4.4.4 = 64 nên n = 3

Vậy : 4³ = 64

c ) 15ⁿ = 225

15.15 = 225 nên n = 2

Vậy : 15² = 225

a) \(2^n=16\)

\(vi 16=2.2.2.2=2^4\)nen \(n=4\)

b) \(4^n=64\)

\(vi\)\(64=4.4.4=4^3\)nen \(n=3\)

c) \(15^n=225\)

\(vi\)\(225=15.15=15^2\)nen \(n=2\)

a/ 2ⁿ = 16 

Vì 2.2.2.2 = 16 

=> n = 4

b/ 4ⁿ = 64

Vì 4.4.4 = 64 

=> n = 3

c/ 15ⁿ = 225

Vì 15 . 15 = 225

=> n = 2

k mk nha

mot bai toan do lop 9 ve mot chiec thuyen va bo song voi khoang cach la360m,biet khoang cach tu thuyen  den bo song la bao nhieu

a) \(2^n:4=16\Rightarrow2^n:2^2=2^4\Rightarrow2^{n-2}=2^4\Rightarrow n-2=4\Rightarrow n=6\)

b) \(6\cdot2^n+3\cdot2^n=9\cdot2^9\)

=> \(\left(6+3\right)\cdot2^n=9\cdot2^9\)

=> \(9\cdot2^n=9\cdot2^9\Rightarrow n=9\)

c) \(3^n:3^2=243\)

=> \(3^{n-2}=3^5\)

=> n - 2 = 5 => n = 7

d) 25 < 5ⁿ < 3125

=> 5² < 5ⁿ < 5⁵

=> n \(\in\){3;4}

\(a,2^n=16\Leftrightarrow2^n=2^4\Leftrightarrow n=4\)

\(3^n=243\Rightarrow3^n=3^5\Leftrightarrow n=5\)

\(b,4^n=4096\Rightarrow4^n=4^6\Leftrightarrow n=6\)

\(5^n=15625\Rightarrow5^n=5^6\Leftrightarrow n=6\)

\(c,6^{n+3}=216\Rightarrow6^{n+3}=6^3\Rightarrow n+3=3\Leftrightarrow n=0\)

\(4^{n-1}=1024\Rightarrow4^{n-1}=4^5\Rightarrow n-1=5\Leftrightarrow n=6\)

\(a.\)  \(2^n=16\Rightarrow2^n=2^4\Leftrightarrow n=4\)

        \(3^n=243\Rightarrow3^n=3^5\Leftrightarrow n=5\)

\(b.\)   \(4^n=4096\Rightarrow4^n=4^6\Rightarrow n=6\)

           \(5^n=15625\Rightarrow5^n=5^6\Rightarrow n=6\)

\(c.\)   \(6^{n+3}=216\Rightarrow6^{n+3}=6^3\Rightarrow n+3=3\Rightarrow n=0\)

         \(4^{n-1}=1024\Rightarrow4^{n-1}=4^5\Rightarrow n-1=5\Rightarrow n=6\)

a) \(11^n=1331\)

\(\Rightarrow11^n=11^3\)

\(\Rightarrow n=3\)

b) \(n^3=125\)

\(\Rightarrow n^3=5^3\)

\(\Rightarrow n=5\)

c) \(5^4=n\)

\(\Rightarrow625=n\)

\(\Rightarrow n=625\)

d) \(\left(n+1^2\right)=9\)

\(\Rightarrow n+1=9\)

\(\Rightarrow n=9-1\)

\(\Rightarrow n=8\)

a) 11^n = 1331

⇒ 11^n = 11^3

⇔ n = 3

b) n^ 3 = 125

⇒ n^3 = 5^3

⇔ n = 5

c) 5^4 = n 

⇒ n = 625

d) ( n + 1^2 ) = 9

⇒ ( n + 1 ) = 9

⇒ n = 8 

Nhấn vào "Đúng 0" lời giải sẽ hiện ra

a)\(32^n=64^5\)

\(=>\left(2^5\right)^n=\left(2^6\right)^5\)

\(2^{5.n}=2^{5.6}\)

\(=>n=6\)

b)\(16^n=64^8\)

\(=>\left(4^2\right)^n=\left(4^3\right)^8\)

\(4^{2.n}=4^{3.8}\)

\(=>2.n=3.8\)

\(2.n=24\)

\(n=24:2=12\)

chúc bạn học tốt nha

1

mau lên đi ạ

pls