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a) 4x . 42 = 256
=> 4x . 16 = 256
=> 4x = 256 : 16
=> 4x = 16
=> 4x = 42
=> x = 2
b) x5 = 243
=> x5 = 35
=> x = 5
a) 5.3x=405
3x=405:5
3x=81
x=4
b) 2x:8=4
2x=4.8
2x=32
x=5
c) x64=x
=>x=1 hoặc x=-1 hoặc x=0
d)x28=x5
( tương tự bài c )
e) (x-2)5=243
=>35=243 =>x-2=3 =>x=5
f) (x+1)3=125
=>53=125 =>x+1=5 =>x=4
a)(x-1)5=(-32)=(-2)5
=>x-1=-2
x=-2+1
x=-1
b)(23/4)*2x+1=64
(8/4)*2x+1=64
2*2x+1=64
2x+1+1=26
=>x+2=6
x=6-2
x=4
a, \(x+5=3\)
\(\Leftrightarrow x=3-5\)
\(\Leftrightarrow x=-2\)
Vậy ....
b, \(12x-64=2^5\)
\(\Leftrightarrow12x-64=32\)
\(\Leftrightarrow12x=32+64\)
\(\Leftrightarrow12x=96\)
\(\Leftrightarrow x=96:12\)
\(\Leftrightarrow x=8\)
Vậy ..
\(a,\left(7x-11\right)^3=2^5.5^2+200.\)
\(\left(7x+11\right)^3=32.25+200.\)
\(\left(7x+11\right)^3=800+200.\)
\(\left(7x-11\right)^3=1000.\)
\(\left(7x-11\right)^3=10^3.\)
\(\Rightarrow7x-11=10.\)
\(\Rightarrow x=\left(10+11\right):3=7\in Z.\)
Vậy.....
\(b,3^x+25=26.2^2+2.3^0.\)
\(3^x+25=26.4+2.\)
\(3^x+25=104+2.\)
\(3^x+25=106.\)
\(3^x=106-25.\)
\(3^x=81.\)
\(3^x=3^4\Rightarrow x=4\in Z.\)
Vậy.....
\(c,2^x+3.2=64.\)(có vấn đề).
\(d,5^{x+1}+5^x=750.\)
\(5^x.5^1+5^x+1=750.\)
\(5^x\left(5^1+1\right)=750.\)
\(5^x\left(5+1\right)=750.\)
\(5^x.6=750.\)
\(5^x=750:6.\)
\(5^x=125.\)
\(5^x=5^3\Rightarrow x=3\in Z.\)
Vậy.....
\(e,x^{15}=x.\)
\(\Rightarrow x\left(x^{14}-1\right)=0\Rightarrow\left\{{}\begin{matrix}x=0\\x=1\end{matrix}\right..\)
\(f,\left(x-5\right)^4=\left(x-5\right)^6.\)
\(\Leftrightarrow\left(x-5\right)^4-\left(x-5^6\right)=0.\)
\(\Leftrightarrow\left(x-5\right)^4\left[1-\left(x-5\right)^2\right]=0.\)
\(\Leftrightarrow\left(x-5\right)^4\left(1-x+5\right)\left(1+x-5\right)=0.\)
\(\Leftrightarrow\left(x-5\right)^4\left(6-x\right)\left(x-4\right)=0.\)
\(\Leftrightarrow\left(x-5\right)^4=0\Rightarrow x-5=0\Rightarrow x=5\in Z.\)
\(6-x=0\Rightarrow x=6\in Z.\)
\(x-4=0\Rightarrow x=4\in Z.\)
Vậy.....
a) 2x = 32
2x = 25
\(\Rightarrow\) x = 5
b) 27.3x = 243
33.3x = 35
33 + x = 35
\(\Rightarrow\) 3 + x = 5
x = 5 - 3
x = 2
c) 64.4x = 45
43.4x = 45
43 + x = 45
\(\Rightarrow\) 3 + x = 5
x = 5 - 3
x = 2
a)2x=32=25
=>x=5
b) 27.3x=243
=>33.3x=243
=>33+x=243=35
=>3+x=5
=>x=2
c) 64.4x=45
=>43.4x=45
=>43+x=45
=>3+x=5
=>x=2
X4=256
X= 256:4:4:4
X=4
X2=64
X=62:2:2
X=