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\(a,\left(7x-11\right)^3=2^5.5^2+200.\)
\(\left(7x+11\right)^3=32.25+200.\)
\(\left(7x+11\right)^3=800+200.\)
\(\left(7x-11\right)^3=1000.\)
\(\left(7x-11\right)^3=10^3.\)
\(\Rightarrow7x-11=10.\)
\(\Rightarrow x=\left(10+11\right):3=7\in Z.\)
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.....
3^x.9+3^x+1=2^2+3^9
3^x.9+3^x.3=4.3^9
3^x.(9+3)=4.3^9
3^x.12=4.3.3^8
3^x=12.3^8:12
3^x= 3^8
=>x=8
vậy x=8
chúc mừng năm mới nhé
nhớ k mình nhé
simple love cảm ơn bạn , chúc bạn năm mới vv nhoa
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1 ) 2.3x - 5 = 72 <=> 2.3x - 5 = 49 <=> 2.3x = 54 => 3x = 27 = 33 => x = 3
2 ) 3x + 1 = 27 => 3x + 1 = 33 => x + 1 = 3 => x = 2
3 ) 5x-2 = 1 = 50 => x - 2= 0 => x = 2
4 ) 9x-1 = 1 = 90 => x - 1 = 0 => x = 1
1)2.3^x-5=49=>2.3^x=54=>3^x=27=>x=3
2)3^x+1=26=>x+1=3=>x=2
3)5^x-2=1=>5^0=>x-2=0=>x=2
4)9^x-1=1=>9^0=x-1=0=>x=1
a,5^x=125
=>5^x=5^3
=>x=3
b,3^2x=81
=>3^2x=3^4
=>2x=4
=>x=4:2=2
c,5^2x-3-2*5^2=5^2+3
5^2x-3-50=75
5^2x-3=75+50=125
5^2x-3=5^3
=>2x-3=3
=>2x=3+3=6
=>6:2=3
k cho mk nhé
\(a,125=5\cdot5\cdot5=5^3\Leftrightarrow x=3\)
\(b,81=3\cdot3\cdot3\cdot3=3^4\Leftrightarrow2x=4\Leftrightarrow x=4:2\Leftrightarrow x=2\)
\(c,5^{2x-3}-2\cdot5^2=5^2\cdot3\)
\(\Leftrightarrow5^{2x-3}=2\cdot5^2+5^2\cdot3\)
\(\Leftrightarrow5^{2x-3}=5^2\cdot\left(2+3\right)\)
\(\Leftrightarrow5^{2x-3}=5^2\cdot5\Leftrightarrow5^{2x-3}=5^3\)
\(\Leftrightarrow2x-3=3\Leftrightarrow2x=3+3\Leftrightarrow2x=6\Leftrightarrow x=6:2\Leftrightarrow x=3\)
\(3^{x+2}+2.3^2=3^3.33\)
\(3^{x+2}+2.3^2=891\)
\(3^{x+2}+2.9=891\)
\(3^{x+2}+2=891:9\)
\(3^{x+2}+2=99\)
\(3^{x+2}=99-2\)
\(3^{x+2}=97\)
\(3^{x+2}=.........\)
\(bí\)\(rồi\)
3x+2 + 2.32 = 33.33
=> 3x . 32 + 2 . 32 = 34 . 11
32 . ( 3x + 2 ) = 34 . 11
..........................................đoạn sau tự làm nhé !