Xx2 x3 = 1056 

Xx2 = 1056 : 3 

Xx2 = 352

X= 352 : 2

X=176

`#3107`

b)

`2.3^x = 162`

`\Rightarrow 3^x = 162 \div 2`

`\Rightarrow 3^x = 81`

`\Rightarrow 3^x = 3^4`

`\Rightarrow x = 4`

Vậy, `x = 4`

c)

`(2x - 15)^5 = (2 - 15)^3`

\(\Rightarrow \)`(2x - 15)^5 - (2x - 15)^3 = 0`

\(\Rightarrow \)`(2x - 15)^3 . [ (2x - 15)^2 - 1] = 0`

\(\Rightarrow\left[{}\begin{matrix}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x-15=0\\\left(2x-15\right)^2=1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x=15\\\left(2x-15\right)^2=\left(\pm1\right)^2\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\2x-15=1\\2x-15=-1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\2x=16\\2x=-14\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=8\\x=-7\end{matrix}\right.\)

Vậy, `x \in`\(\left\{-7;8;\dfrac{15}{2}\right\}.\)

`d)`

\(3^{x+2}-5.3^x=?\) Bạn ghi tiếp đề nhé!

`e)`

\(7\cdot4^{x-1}+4^{x-1}=23?\)

\(4^{x-1}\cdot\left(7+1\right)=23\\ \Rightarrow4^{x-1}\cdot8=23\\ \Rightarrow4^{x-1}=\dfrac{23}{8}\)

Bạn xem lại đề!

`f)`

\(2\cdot2^{2x}+4^3\cdot4^x=1056\)

\(\Rightarrow2\cdot2^{2x}+\left(2^2\right)^3\cdot\left(2^2\right)^x=1056\\ \Rightarrow2\cdot2^{2x}+2^6\cdot2^{2x}=1056\\ \Rightarrow2^{2x}\cdot\left(2+2^6\right)=1056\\ \Rightarrow2^{2x}\cdot66=1056\\ \Rightarrow2^{2x}=1056\div66\\ \Rightarrow2^{2x}=16\\ \Rightarrow2^{2x}=2^4\\ \Rightarrow2x=4\\ \Rightarrow x=2\)

Vậy, `x = 2`

_____

\(10 -{[(x \div 3+17) \div 10+3.2^4] \div 10}=5\)

\(\Rightarrow\left[\left(x\div3+17\right)\div10+48\right]\div10=10-5\)

\(\Rightarrow\left[\left(x\div3+17\right)\div10+48\right]\div10=5\)

\(\Rightarrow\left(x\div3+17\right)\div10+48=50\)

\(\Rightarrow\left(x\div3+17\right)\div10=2\)

\(\Rightarrow x\div3+17=20\)

\(\Rightarrow x\div3=3\\ \Rightarrow x=9\)

Vậy, `x = 9.`

x*2*3 = 1056

x*(2*3) = 1056

x*6 = 1056

x = 1056 : 6

x = 176

X x 2 x 3 = 1056

             x = 1056 : 3 : 2 

             x = 176

X x 2 x 3 = 1056

X x 6      = 1056

X           = 1056 : 6

X           = 176

Vậy X x 2 x 3 = 1056 thì khi đó X = 176

:D

x^3=125

x=5

x⁶:x³=125

x^6-3=125

x³=125

x³=5³

x=5

vậy x=5

x*2*3=1056

x*(2*3) = 1056

x*6 = 1056

x = 1056 : 6

x = 176

vậy x = 176

x*2*3=1056

x*6=1056

x=1056/6

x=176

x*2*3=1056

x*6=1056

x=1056:6

x=176

vậy x=176

2.2^2x + 4³.4^x = 1056

=> 2.4^x + 4³.4^x = 1056

=> 4^x [2 + 4³] = 1056

=> 4^x . 66 = 1056

=> 4^x = 16

=> x = 2

X x 2 x 3 = 1056

X x 6 = 1056

X=1056:6

X=176

X x 2 x 4 =1960

Xx6=1906

x=1906:6

x=953/3

X x 5 + 148 = 1338

Xx5=1338-148

Xx5=1190

X=1190:5

X=238

500 + X x 4 =940

X x4=940-500

Xx4=440

X=440:4

X=110

1.X * 2 * 3 = 1056

X =1056 : 3 : 2

X=176

2.X*2*4=1960

=1960 : 4 :2

=245

3.X * 5 + 148=1338

=(1338 - 148):5

=238

4.500 + X * 4 = 940

500 + X = 940 : 4

500 + X =235

X           =235 - 500

X           = -265

X x 2 x 3 = 1056

X x 6 = 1056

X = 1056 :6

X = 176

X x 2 x 4 = 1960

X x 8 = 1960

X = 1960 :8

X = 245

X x 5 + 148 = 1338

X x 5 = 1338 - 148

X x 5 = 1190

X = 1190 : 5

X = 292

500 + X x 4 = 940

X x 4 = 940 - 500

X x 4 = 440

X = 440 : 4

X = 110 

\(=>2\cdot4^x+64\cdot4^x=1056\)

\(=>4^x\cdot\left(2+64\right)=1056\)

\(=>4^x=1056:66=16\)

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

\(=>x=2\)

ti ck nha

2.2^2x + 4³.4^x = 1056

=> 2.4^x + 4³.4^x = 1056

=> (2 + 64).4^x = 1056

=> 66.4^x = 1056

=> 4^x = 1056 : 66

=> 4^x = 16

=> 4^x = 4²

=> x = 2

7.4^{x - 1} + 4^{x + 1} = 23

=> 7.4^x.1/4 + 4^x.4 = 23

=> (7/4 + 4).4^x = 23

=> 23/4.4^x = 23

=> 4^x = 23 : 23/4

=> 4^x = 4

=> x = 1

3^{x + 2} - 5.3^x = 36

=> 3^x.9 - 5.3^x = 36

=> 3^x.(9 - 5) = 36

=> 3^x.4 = 36

=> 3^x = 36 : 4

=> 3^x = 9 = 3²

=> 3^x = 2

\(7\cdot4^{x-1}+4^{x+1}=23\)

\(=>7\cdot4^x:4+4^x\cdot4=23\)

\(=>\frac{7}{4}\cdot4^x+4^x\cdot4=23\)

\(=>4^x\cdot\left(\frac{7}{4}+4\right)=23\)

\(=>4^x=23:\frac{23}{4}=4\)

\(=>4^x=4^1\)

\(=>x=1\)