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Giải:
a) \(\left(3x^2-5\right)+3^4+6^0=5^3\)
\(\Leftrightarrow3x^2-5+3^4+6^0=5^3\)
\(\Leftrightarrow3x^2-5+81+1=125\)
\(\Leftrightarrow3x^2=125+5-81-1\)
\(\Leftrightarrow3x^2=48\)
\(\Leftrightarrow x^2=\dfrac{48}{3}=16\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\)
Vậy ...
b) \(3x+2x\left(2^3.5-3^2.4\right)+5^2=4^4\)
\(\Leftrightarrow3x+2x\left(8.5-9.4\right)+25=256\)
\(\Leftrightarrow3x+2x\left(40-36\right)+25=256\)
\(\Leftrightarrow3x+2x.4+25=256\)
\(\Leftrightarrow3x+8x+25=256\)
\(\Leftrightarrow11x+25=256\)
\(\Leftrightarrow11x=256-25=231\)
\(\Leftrightarrow x=\dfrac{231}{11}\)
\(\Leftrightarrow x=21\)
Vậy ...
Chúc bạn học tốt!



a, \(\left(3x^2-5\right)+3^4+6^0=5^3\)
\(\left(3x^2-5\right)+81+1=125\)
\(3x^2-5=43\)
\(3x^2=48\)
\(x^2=16\)
\(\Rightarrow\orbr{\begin{cases}x=-4\\x=4\end{cases}}\)
Vậy ...
b,\(3x+2x\left(2^3.5-3^2.4\right)+5^2=4^4\)
\(3x+2x\left(8.5-9.4\right)+25=256\)
\(3x+2x.9=231\)
\(21x=231\)
x=11

\(16^x< 128^4\)
=> \(\left[2^4\right]^x< \left[2^7\right]^4\)
=> \(2^{4x}< 2^{28}\)
=> 4x < 28
=> x < 7
Đến đây tìm x được rồi
\(\left[3x^2-5\right]+3^4+6^0=5^3\)
=> \(\left[3x^2-5\right]=5^3-6^0-3^4=43\)
=> \(3x^2-5=43\)
=> \(3x^2=48\)
=> \(x^2=16\)
=> \(x=\pm4\)
\(3x+2x\left[2^3\cdot5-3^2\cdot4\right]+5^2=4^4\)
=> \(3x+2x\left[8\cdot5-9\cdot4\right]+25=256\)
=> \(3x+2x\cdot4+25=256\)
=> \(3x+2x\cdot4=231\)
Đến đây tìm x

Ta có " (x - 5)7 = (x - 5)4
=> (x - 5)7 - (x - 5)4 = 0
<=> (x - 5)4[(x - 5)3 - 1] = 0
\(\Leftrightarrow\orbr{\begin{cases}\left(x-5\right)^4=0\\\left(x-5\right)^3-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=0\\\left(x-5\right)^3=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=0\\x-5=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=5\\x=6\end{cases}}\)

A =118.75
B=125 -5 .(3.X -1) =25
5.(3.X-1) =100
3.X-1=20
3X =21
X=7
`4*(3x-1)^3 -5^2=475`
`=>4*(3x-1)^3 = 475 +25`
`=>4*(3x-1)^3 = 500`
`=>(3x-1)^3=500:4`
`=>(3x-1)^3= 125`
`=> (3x-1)^3=5^3`
`=>3x-1=5`
`=>3x=5+1`
`=>3x=6`
`=>x=6/3=2`
4.(3x-1)3-52=475
4.(3x-1)3-25=475
4.(3x-1)3=475 +25
4.(3x-1)3=500
(3x-1)3=500:4
(3x-1)3=125
(3x-1)3 =53
3x-1=5
3x=5+1
3x=6
x=6/3
x=2