\(32^x\) : \(16^x\) = 16

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22 tháng 2 2020

32x : 16x = 16

⇒ (2.16)x = 16.16x

⇒ 2x . 16x =16x+1

⇒ 2x = 16x+1 : 16x

⇒ 2x = 16

⇒x = 4

Vậy..... OωO thông cảm nha Duyên Nguyễn ,chưa chắc đã đúng đâu

22 tháng 2 2020

\(32^x:16^x=16\)

\(\Rightarrow\left(32:16\right)^x=16\)

\(\Rightarrow2^x=16\)

\(\Rightarrow2^x=2^4\)

\(\Rightarrow x=4\)

Vậy \(x=4.\)

Chúc bạn học tốt!

26 tháng 6 2017

a) \(\left(\frac{16}{2}\right)^x=2\)

\(8^x=2\)

<=> 23x = 21

<=> 3x = 1 

=> x = \(\frac{1}{3}\)

b) 8x : 2x = 4

(8 : 2)x = 4

4x = 4

=> x = 1

c) \(\left(\frac{1}{2}\right)^x=\frac{1}{32}\)

\(\left(\frac{1}{2}\right)^x=\left(\frac{1}{2}\right)^5\)

=> x = 5

26 tháng 6 2017

\(\left(\frac{16}{2}\right)^x=2\)

\(x=\frac{1}{3}\)

b,\(8^x\div2^x=4\)

\(x=1\)

c,\(\left(\frac{1}{2}\right)^x=\frac{1}{32}\)

\(x=5\)

12 tháng 7 2017

a, \(x^2=\dfrac{1}{16}\Rightarrow x=\pm\dfrac{1}{4}\)

b, \(x^5:x^2=-\dfrac{1}{64}\Rightarrow x^3=\left(-\dfrac{1}{4}\right)^3\Rightarrow x=-\dfrac{1}{4}\)

c, \(x^3:x^2=\dfrac{32}{243}\Rightarrow x=\dfrac{32}{243}\)

d, \(\left(x^2\right)^2=\dfrac{81}{16}\Rightarrow x^4=\left(\dfrac{3}{2}\right)^4\Rightarrow x=\pm\dfrac{3}{2}\)

Chúc bạn học tốt!!!

18 tháng 7 2017

3) Tìm x

a) \(^{x^2}\)=\(\dfrac{1}{16}\)

<=> x = \(\sqrt{-\dfrac{1}{16}}\)

\(\sqrt{\dfrac{1}{16}}\)

<=> x = -14

+14

b) \(x^{5^{ }}\): \(x^2\) = \(-\dfrac{1}{64}\)

<=> \(^{x^{5-2}}\) =\(-\dfrac{1}{64}\)

<=> \(x^3\) = \(-\dfrac{1}{64}\)

<=> x = \(-\dfrac{1}{4}\)

c)\(x^3:x^2\) = \(\dfrac{32}{243}\)

<=> \(^{x^{3-2}}\) = \(\dfrac{32}{243}\)

<=> x = \(\dfrac{32}{243}\)

d) \((x^2)^2\) = \(\dfrac{81}{16}\)

<=>\(^{x^{2.2}}\) = \(\dfrac{81}{16}\)

<=> \(x^4\) = \(\dfrac{81}{16}\)

<=> x = \(\dfrac{3}{2}\)

\(-\dfrac{3}{2}\)

13 tháng 8 2018

1/ 2x = 45.46

=> 2x = 45 + 6

=> 2x = 411

=> 2x = (22)11

=> 2x = 222

=> x = 22

vậy_

2/ 2x = 46.163

=> 2x = (22)6.(24)3

=> 2x = 212.212

=> 2x = 212 + 12

=> 2x = 224

=> x = 24

3/ 2x = 45.162

=> 2x = (22)5.(24)2

=> 2x = 210.28

=> 2x = 210 + 8

=> 2x = 218

=> x = 18

vậy_

13 tháng 8 2018

\(\frac{1}{2^x}=4^5.4^3=4^{5+3}=4^8\)

\(\Rightarrow1=4^8.2^x=2^{2.8+x}=2^{16+x}\)

ta có 1 < 21 =>  216+x < 21

=> 216+x = 20

=> 16+x=0

=> x= -16

10 tháng 9 2017

a)\(16^x=32^8\)

\(\Rightarrow\left(2^4\right)^x=\left(2^5\right)^8\)

\(\Rightarrow2^{4x}=2^{40}\)

\(\Rightarrow4x=40\)

\(\Rightarrow x=10\)

b)\(4^x=32^{40}\)

\(\Rightarrow\left(2^2\right)^x=\left(2^5\right)^{40}\)

\(\Rightarrow2^{2x}=2^{200}\)

\(\Rightarrow2x=200\)

\(\Rightarrow x=100\)

c)\(\left(\dfrac{2}{3}\right)^x=\left(\dfrac{4}{9}\right)^4\)

\(\Rightarrow\left(\dfrac{2}{3}\right)^x=\left[\left(\dfrac{2}{3}\right)^2\right]^4\)

\(\Rightarrow\left(\dfrac{2}{3}\right)^x=\left(\dfrac{2}{3}\right)^8\)

\(\Rightarrow x=8\)

d)\(2^{3x+1}=32^2\)

\(\Rightarrow2^{3x+1}=\left(2^5\right)^2=2^{10}\)

\(\Rightarrow3x+1=10\)

\(\Rightarrow3x=9\)

\(\Rightarrow x=3\)

e)\(\left(2x-1\right)^3:7=49\)

\(\Rightarrow\left(2x-1\right)^3=343\)

\(\Rightarrow\left(2x-1\right)^3=7^3\)

\(\Rightarrow2x-1=7\)

\(\Rightarrow2x=8\)

\(\Rightarrow x=4\)

10 tháng 9 2017

a) Ta có: \(16^x=32^8\)

=> \(\left(2^4\right)^x=\left(2^5\right)^8\)

=> \(2^{4.x}=2^{5.8}\)

=> 4x = 40

=> x = 10

Vậy x =10

b) Ta có : \(4^x=32^{40}\)

=> \(\left(2^2\right)^x=\left(2^5\right)^{40}\)

=> \(2^{2x}=2^{5.40}\)

=> 2x = 200

=> x =100

Vậy x = 100

c) Ta có : \(\left(\dfrac{2}{3}\right)^x=\left(\dfrac{4}{9}\right)^4\)

=> \(\left(\dfrac{2}{3}\right)^x=\left(\dfrac{2}{3}\right)^{2.4}\)

=> x = 8

Vậy x =8

d) Ta có : \(2^{3x+1}=32^2\)

=> \(2^{3x+1}=\left(2^5\right)^2\)

=> 3x+1 =5.2

=> 3x+1 = 10

=> 3x = 10-1=9

=> x= \(\dfrac{9}{3}\)=3

Vậy x = 3

e) (2x-1)\(^3\) : 7 = 49

(2x-1)\(^3\) = 49.7

(2x-1)\(^3\) = 343

(2x-1)\(^3\) = \(7^3\)

=> 2x-1 = 7

2x = 8

x = 8:2

x = 4

Vậy x = 4

13 tháng 10 2019

a) \(\frac{5^5}{5^x}=5^{18}\)

\(\Rightarrow5^x=5^{18}:5^5\)

\(\Rightarrow5^x=5^{13}\)

\(\Rightarrow x=13\)

Vậy \(x=13.\)

b) \(\frac{2^{4-x}}{16^5}=32^6\)

\(\Rightarrow2^{4-x}=32^6.16^5\)

\(\Rightarrow2^{4-x}=\left(2^5\right)^6.\left(2^4\right)^5\)

\(\Rightarrow2^{4-x}=2^{30}.2^{20}\)

\(\Rightarrow2^{4-x}=2^{50}\)

\(\Rightarrow4-x=50\)

\(\Rightarrow x=4-50\)

\(\Rightarrow x=-46\)

Vậy \(x=-46.\)

Chúc bạn học tốt!

21 tháng 7 2019

\(\frac{2^{4-x}}{16^5}=32^6\)

=> \(\frac{2^{4-x}}{\left(2^4\right)^5}=\left(2^5\right)^6\)

=> \(\frac{2^{4-x}}{2^{20}}=2^{30}\)

=> \(2^{4-x}=2^{30}.2^{20}\)

=> \(2^{4-x}=2^{50}\)

=> 4  - x = 50

=> x = 4 - 50 = -46

\(\frac{3^{2x+3}}{9^3}=9^{14}\)

=> \(\frac{3^{2x+3}}{\left(3^2\right)^3}=\left(3^2\right)^{14}\)

=> \(\frac{3^{2x+3}}{3^6}=3^{28}\)

=> \(3^{2x+3}=3^{28}.3^6\)

=> \(3^{2x+3}=3^{34}\)

=> 2x + 3 = 34

=> 2x = 34 - 3

=> 2x = 31

=> x = 31/2