Question

tm x

a,(3x-17).4^5=4^6

b,3 |x-5|-23=(-2)^3

c,96-3 (x+1)=42

d,48:(2x+1)-7=5

e,4.(x+1)^3-5=3^3

Answer 1

a) ( 3x-17) . 4⁵= 4⁶

( 3x -17) = 4⁶: 4⁵

( 3x-17) = 4

3x = 4+17

3x= 21

x= 21:3

x=7

Vậy....

Answer 2

b) 3 |x-5|-23=(-2)³

3 |x-5| -23 = -8

3 |x-5| = -8+23

3 |x-5| = 15

| x -5| = 15:3

|x-5| = 5

TH1: x- 5= 5

x= 5+5

x= 10

TH2: x -5 = -5

x= -5+5

x= 0

Vậy...

Answer 3

c) 96-3 (x+1)=42

3 ( x+1) = 96-42

3(x+1) = 54

x+1 = 54:3

x+1 = 18

x= 18-1

x= 17

Vậy...

Answer 4

\(a,\left(3x-17\right)\cdot4^5=4^6\)

\(\Rightarrow3x-17=4\)

\(\Rightarrow3x=21\)

\(\Rightarrow x=7\)

\(b,3\cdot\left|x-5\right|-23=\left(-2\right)^3\)

\(\Rightarrow3\cdot\left|x-5\right|-23=-8\)

\(\Rightarrow3\left|x-5\right|=15\)

\(\Rightarrow\left|x-5\right|=5\)

\(\Rightarrow x-5=\pm5\)

\(\Rightarrow\orbr{\begin{cases}x-5=5\\x-5=-5\end{cases}\Rightarrow\orbr{\begin{cases}x=10\\x=0\end{cases}}}\)

\(c,96-3\left(x+1\right)=42\)

\(\Rightarrow3\left(x+1\right)=54\)

\(\Rightarrow x+1=18\)

\(\Rightarrow x=17\)

\(d,48:\left(2x+1\right)-7=5\)

\(\Rightarrow48\left(2x+1\right)=12\)

\(\Rightarrow2x+1=4\)

\(\Rightarrow x=\frac{3}{2}\)

\(e,4\left(x+1\right)^3-5=3^3\)

\(\Rightarrow4\left(x+1\right)^3=32\)

\(\Rightarrow\left(x+1\right)^3=8\)

\(\Rightarrow x+1=2\)

\(\Rightarrow x=1\)