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a)23 .2x=128
=>23+x=128
=>23+x=27
=>3+x=7
=>x=4
b)2x+2x+3=144
=>2x(1+23)=144
=>2x*9=144
=>2x=16
=>2x=24
=>x=4
c)x-287:285=125
=>x-287-85=125
=>x-4=125
=>x=129
d)3x+4-3x=720
=>3x(34-1)=720
=>3x*80=720
=>3x=9
=>3x=32
=>x=2
e)812x:27x=95
=>(34)2x:(33)x=95
=>38x:33x=95
=>38x-3x=(32)5
=>35x=310
=>5x=10
=>x=2

\(9^{12}.27^5.81^4=\left(3^2\right)^{12}.\left(3^3\right)^5.\left(3^4\right)^4\)
\(=3^{24}.3^{15}.3^{16}\)
\(=3^{55}\)
\(64^3.4^5.16^2=\left(4^3\right)^3.4^5.\left(4^2\right)^2=4^{18}\)
\(25^{20}.125^4=\left(5^2\right)^{20}.\left(5^3\right)^4=5^{52}\)
\(x^7.x^4.x^3=x^{14}\)
\(3^6.4^6=\left(3.4\right)^6=12^6\)
\(8^4.2^3.16^2=\left(2^3\right)^4.2^3.\left(2^4\right)^2=2^{23}\)
\(2^3.2^2.\left(2^3\right)^3=2^{14}\)

a) \(2^2.3^{3x}-27^x=9^5\)
\(4.3^{3x}-\left(3^3\right)^x=\left(3^2\right)^5\)
\(4.3^{3x}-3^{3x}=3^{10}\)
\(3^{3x}\left(4-1\right)=3^{10}\)
\(3^{3x}.3=3^{10}\)
\(3^{3x+1}=3^{10}\)
3x + 1 = 10
3x = 9
x = 3.
b. \(5.3^x=135\)
\(3^x=27\)
\(3^x=3^3\)
x = 3.
c. \(5^x.5^4=5^{20}\)
\(5^{x+4}=5^{20}\)
x + 4 = 20
x = 16


7x-x=521:519+3.22-70
=> 6x = 5^2 + 12 -1
=> 6x = 36
=> x = 36/6 = 6
Kết quả 6
Học tốt

a,\(12\left(x-1\right).3=4^3-2^3\)
\(\Rightarrow36\left(x-1\right)=64-8\)
\(\Rightarrow36\left(x-1\right)=56\)
\(\Rightarrow x-1=\frac{14}{9}\Rightarrow x=\frac{23}{9}\)
b,\(2^x=16\Rightarrow2^x=2^4\Rightarrow x=4\)
c,\(\left(3x-2^4\right).7^{13}=2.7^{14}\)
\(\Rightarrow3x-16=\frac{2.7^{14}}{7^{13}}\)
\(\Rightarrow3x-16=14\Rightarrow3x=30\Rightarrow x=10\)
\(\left[x^2\right]^4\cdot16=2^{20}\)
\(\Leftrightarrow x^8\cdot16=2^{20}\)
\(\Leftrightarrow x^8\cdot2^4=2^{20}\)
\(\Leftrightarrow x^8=2^{20}:2^4\)
\(\Leftrightarrow x^8=2^{16}\)
\(\Leftrightarrow x^8=\left[2^2\right]^8\)
\(\Leftrightarrow x^8=4^8\Leftrightarrow x=4\)
\(2^{x+3}+2^x=144\)
\(\Leftrightarrow2^x\cdot2^3+2^x=144\)
\(\Leftrightarrow2^x\left[2^3+1\right]=144\)
\(\Leftrightarrow2^x\cdot9=144\)
\(\Leftrightarrow2^x=16\Leftrightarrow x=4\)
Bài cuối tt
X^8=2^16 =>X=4
2^X(2^3+1)=144
=>2^X=16
=>X=4
3^3X(2^2-1)=9^5
=>3^3X=3^9
=>X=3