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25 tháng 8 2016

a, (2x-1)3=8

2x-1=2

2x=2+1

2x=3

x=1,5

a, \(\left(2x-1\right)^3=8\)

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

\(\Leftrightarrow2x-1=2\Leftrightarrow2x=3\Leftrightarrow x=\frac{3}{2}\)

b, \(\left(x-1\right)^x+2=\left(x-1\right)^x+4\)

\(\Leftrightarrow\left(x-1\right)^x+2-\left(x-1\right)^x-4=0\)

\(\Leftrightarrow-2\ne0\)=> vô nghiệm 

c, \(3^x-1+5.3^{3x}-1=162\)

Đề sai.

10 tháng 2 2018

a. -3

b. -71

c. -40

d. 358

e. ?i

f. 10

mình chỉ cho đáp án được thôi vì mình đang gấp nên ko thể trình bày được, câu e mình ko hiểu bạn ghi gì hết. bạn gửi lại câu e đi.

10 tháng 2 2018

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17 tháng 2 2016

3^x- 1 +5*3^x-1=162

=>3x-1.(1+5)=162

=> x-1=3

=> x=3+1

=> x=4

Vậy x=4

22 tháng 9 2016

\(3^{x-1}+5.3^{x-1}=162\)

\(3^{x-1}.1+5.3^{x-1}=162\)

\(3^{x-1}.\left(1+5\right)=162\)

\(3^{x-1}.6=162\)

\(3^{x-1}=162:6\)

\(3^{x-1}=27\)

\(3^{x-1}=3^3\)

\(\Rightarrow x-1=3\)

\(x=3+1\)

\(x=4\)

Vậy \(x=4\)

22 tháng 9 2016

Ý bạn là \(\left(3^x-1+5\right)\left(3^x-1\right)\)

Hay \(\left(3^{x-1}+5\right)\left(3^{x-1}\right)\)

AH
Akai Haruma
Giáo viên
18 tháng 1

Lời giải:

$3^{-1}.3^x+5.3^{x-1}=162$

$3^{x-1}+5.3^{x-1}=162$

$3^{x-1}(1+5)=162$

$3^{x-1}.6=162$

$3^{x-1}=27=3^3$

$\Rightarrow x-1=3$

$\Rightarrow x=4$

9 tháng 8 2016

3x-1+5.3x-1=162

<=>3x-1.(1+5)=162

=>3x-1.6=162

=>3x-1=162:6

=>3x-1=27

=>3x-1=33

=>x-1=3

=>x=3+1

=>x=4

Chúc bạn học giỏi nha!!!

K cho mik với nhé Nguyễn Trần Thanh Vy

9 tháng 8 2016

3X-1 + 5 * 3X-1 = 162

3X-1 *  (5+1) = 162

3X-1 * 6 = 162

3X-1 = 27

=> 3X-1 = 33

=>X-1=3

=>X=4