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Bài 1:
1. \(\left(\frac{1^5}{2}\right):\left(\frac{1^8}{2}\right)\)\(=\frac{1^5:1^8}{2:2}=\frac{1}{1}=1.\)
Mình chỉ làm bài 1 thôi nhé.
Chúc bạn học tốt!
a,(=)\(3^{x+1}.\left(3+4\right)=7.3^6\)
(=)\(3^{x+1}=3^6\)
=>x+1=6(=)x=5
b
1: \(5\cdot3^x=5\cdot3^4\)
nên \(3^x=3^4\)
hay x=4
2: \(7\cdot4^x=7\cdot4^3\)
nên \(4^x=4^3\)
hay x=3
3: \(8\cdot7^x=8\cdot7^6\)
nên \(7^x=7^6\)
hay x=6
BT1: \(\left(3^2\right)^2-\left(-2^3\right)^2-\left(-5^2\right)^2=81-64-625=-608\)
BT2: a, \(\dfrac{1}{9}.27^x=3^x\)
\(3^{3x-2}=3^x\)
\(\Rightarrow3x-2=x\Rightarrow x=\dfrac{1}{2}\)
b, \(3^{-2}.3^4.3^x=3^7\)
\(3^{2+x}=3^7\Rightarrow2+x=7\)
\(\Rightarrow x=5\)
c, \(2^{-1}.2^x+4.2^x=9.2^5\)
\(2^x\left(2^{-1}+4\right)=288\)
\(\Rightarrow2^x=288:4,5=64=2^6\)
\(\Rightarrow x=6\)
d, \(\left(2x-3\right)^2=16=4^2\)
\(\Rightarrow2x-3=4\Rightarrow x=\dfrac{7}{2}\)
e, \(\left(3x-2\right)^5=-243=-3^5\)
\(\Rightarrow3x-2=-3\Rightarrow x=\dfrac{-1}{3}.\)
BT1: \(a,3^2.\dfrac{1}{243}.81^2.\dfrac{1}{33}=3^2.3^{-5}.3^8.3^{-1}\dfrac{1}{11}\)
\(=3^4.\dfrac{1}{11}=\dfrac{81}{11}\)
b, \(\left(4.5^3\right):\left(2^3.\dfrac{1}{10}\right)=100.5.\dfrac{1}{8}.10=625\)
thui tyuwj lamf ddi
a: \(\Leftrightarrow2^x\cdot\dfrac{1}{2}+2^x\cdot2=2^{10}\left(2^2+1\right)\)
\(\Leftrightarrow2^x=2^{10}\cdot5:\dfrac{5}{2}=2^{10}\cdot5\cdot\dfrac{2}{5}=2^{11}\)
=>x=11
b: \(\Leftrightarrow3^x\cdot\dfrac{1}{3}+3^x\cdot9=3^{13}\cdot28\)
\(\Leftrightarrow3^x=3^{13}\cdot28:\dfrac{28}{3}=3^{14}\)
hay x=14
\(\left(\frac{1}{2}-\frac{1}{3}\right)6^x+6^{x+2}=6^{10}+6^7\)
\(\Rightarrow\frac{1}{6}6^x+6^x.6^2=6^7\left(1+6^3\right)\)
\(\Rightarrow6^x\left(\frac{1}{6}+6^2\right)=6^7.217\)
\(\Rightarrow6^x.\frac{217}{6}=6^7.217\)
\(\Rightarrow6^x.217=6^7.217.6\)
\(\Rightarrow6^x.217=6^8.217\)
\(\Rightarrow6^x=6^8\)
\(\Rightarrow x=8\)
Vậy \(x=8\)