2^n : 64 = 2^6
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a) \(3^n:3^2=3^{n-2}\)
\(\Rightarrow3^{n-2}=3^5\)
\(\Rightarrow n=5+2=7\)
b) \(2^n-64=2^6\)
\(\Rightarrow2^n-2^6=2^6\)
\(\Rightarrow2^n=2\cdot2^6=2^7\)
\(\Rightarrow n=7\)
c) \(2^n:16=128\)
\(\Rightarrow2^n:2^{16}=2^{n-16}=128\)
\(2^{n-16}=2^7\)
\(\Rightarrow n=7+16=23\)
\(3^n:3^2=243\)
\(3^{n-2}=243\)
\(3^{n-2}=3^5\)
\(n-2=5\Leftrightarrow n=7\)
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Ko có giá trị của x
k mik nha
Học tốt
^_^
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A. 64 : 16 = 4
B. 210 : 30 = 7
C. 504 : 56 = 9
D. 115 : 23 = 5
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a) \(2^x=16\)
\(2^x=2^4\)
\(\Rightarrow x=4\)
vay \(x=4\)
b) \(4^x=64\)
\(4^x=4^3\)
\(\Rightarrow x=3\)
vay \(x=3\)
c) \(15^x=225\)
\(15^x=15^2\)
\(\Rightarrow x=2\)
vay \(x=2\)
d) \(2^x-15=17\)
\(2^x=32\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
vay \(x=5\)
e) \(2^x-64=2^6\)
\(2^x=2^6+64\)
\(2^x=128\)
\(2^x=2^7\)
\(\Rightarrow x=7\)
vay \(x=7\)
f) \(\left(7x-11\right)^3=2^5.5^2+200\)
\(\left(7x-11\right)^3=800+200\)
\(\left(7x-11\right)^3=1000\)
\(\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(\Rightarrow7x=21\)
\(\Rightarrow x=3\)
vay \(x=3\)
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<=> \(\frac{1.2.3....31}{4.6.8....64}=2^n\Rightarrow\frac{1.2.3....30.31}{2\left(2.3.4.5...31\right).32}=2^n\Leftrightarrow\frac{1}{2.32}=2^n\Leftrightarrow\frac{1}{2^6}=2^n\)
=> 2^6.2^n = 1
=> 2^ (n + 6 ) = 2^0
=> n+ 6 = 0
=> n = - 6
\(\frac{1}{4}.\frac{2}{6}.\frac{3}{8}....\frac{31}{64}=\frac{1.2.3....31}{4.6.8....64}=\frac{1.2.3....31}{2.3.2.4....2.32}=\frac{1.2.3....31}{2^{30}.\left(3.4....32\right)}=\frac{2}{2^{30}.32}=\frac{1}{2^{34}}=2^{-34}=2^n=>n=-34\)
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a)Vì có nhiều số 52 nên .52x(3+7)=52x10=520
b)Vì có nhiều số 23 nên.23x(2+6+2)=23x10=230
c)Vì số 64 phép cuối ko có số nhân nên ta coi số đó là 1 nên. 64x7+64x2+64x1=64x(7+2+1)=64x10=640
d)Vì phép tính ở giữa có 2 số 48 cộng nên ta coi đó là 1 nên.48x(3+6+1)=48x10=480
nhé
a) 52 x 7 + 52 x 3
= 52 x ( 7 + 3 )
= 52 x 10
= 520
b) 23 x 2 + 6 x 23 + 23 x 2
= 23 x ( 2 + 6 + 2 )
= 23 x 10
= 230
c) 64 x 7 + 64 x 2 + 64
= 64 x 7 + 64 x 2 + 64 x 1
= 64 x ( 7 + 2 + 1 )
= 64 x 10
= 640
d) 48 x 3 + 48 + 48 x 6
= 48 x 3 + 48 x 1 + 48 x 6
= 48 x ( 3 + 1 + 6 )
= 48 x 10
= 480
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\(\dfrac{1}{2.2}.\dfrac{2}{2.3}.....\dfrac{31}{64}=2^x\\ =>\dfrac{1}{2.2.2.....2.64}=2^x\\ \dfrac{1}{2^{30}.26}=2^x\\ =>\dfrac{1}{2^{36}}=2^x\\ =>2^{-36}=2^x\\ =>x=-36\)
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\(6\cdot6\cdot6\cdot6\cdot3\cdot2\)
\(=6\cdot6\cdot6\cdot6\cdot\left(3\cdot2\right)\)
\(=6\cdot6\cdot6\cdot6\cdot6\)
\(=6^5\)
⇒ Chọn D
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\(2^n:64=2^6\\ 2^n:2^6=2^6\\ 2^{n-6}=2^6\\ n-6=6\\ n=12\)