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75x : 49 = 728
=> 75x : 72 = 728
=> 75x - 2 = 28
=> 5x - 2 = 28
=> 5x = 30
=> x = 30 : 5
=> x = 6
b) 2x - 5 = 27
=> 2x = 27 + 5
=> 2x = 32
=> 2x = 25
=> x = 5
c) (x4)5 = x
=> x4.5 = x
=> x20 = x
=> x20 - x = 0
=> x(x19 - 1) = 0
=> \(\orbr{\begin{cases}x=0\\x^{19}-1=0\end{cases}}\)=> \(\orbr{\begin{cases}x=0\\x^{19}=1\end{cases}}\)=> \(\orbr{\begin{cases}x=0\\x^{19}=1^{19}\end{cases}}\)=> \(\orbr{\begin{cases}x=0\\x=\pm1\end{cases}}\)
Vậy \(x\in\left\{-1;0;1\right\}\)
\(a,7^{5x}:49=7^{28}\)
\(7^{5x}:7^2=7^{28}\)
\(7^{5x-2}=7^{28}\)
\(\Rightarrow5x-2=28\)\(\Rightarrow5x=30\)\(\Rightarrow x=6\)
\(b,2^x-5=27\)\(\Rightarrow2^x=32\)\(\Rightarrow2^x=2^5\Rightarrow x=5\)
\(c,\left(x^4\right)^5=x\)
\(\Rightarrow x^{20}=x\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
a) 5^x=5^78:5^14(lấy 78-14)
5^x=5^64
=> x=64
b) 7^x.7^2=7^21
7^x=7^21:7^2
7^x=7^19
=> x=19
5^11x49^6+5^11x7^11/125^4x7^11+9x35^11
=5^11x7^11(7+1)/5^11x7^11(5+9)
=7+1/5+9
=4/7
Hok tốt(mik làm hơi tắt mong thông cảm ^-^ )
a, 4^x +4^x .4 =20
4^x(1+4) =20
4^x .5 =20
4^x =20:5
4^x = 4
x = 1
b,7^x .7^2=7^90
7^x = 7^90:7^2
7^x =7^88
x = 88
c, 5^x +5^x.5 = 750
5^x(1+5) =750
5^x . 6 =750
5^x = 750:6
5^x =125
5^x = 5^3
x =3
-_-? ?????????????????????????????????????????????????????????????????????????????????????????????????????????????????
a. 5x . 514 = 578
5x = 578 : 514 = 564
5x = 564 => x = 64
b. 7x . 49 = 727
7x . 72 = 727
7x = 727 : 72 = 725
7x = 725 => x = 25
c.
a) \(5^x.5^{14}=5^{78}\)
\(\Rightarrow5^{x+14}=5^{78}\)
\(\Leftrightarrow x+14=78\)
\(\Leftrightarrow x=64\)
Vậy x = 64
b) \(7^x.49=7^{27}\)
\(\Rightarrow7^x.7^2=7^{27}\)
\(\Leftrightarrow7^{x+2}=7^{27}\)
\(\Leftrightarrow x+2=27\Leftrightarrow x=25\)
Vậy x = 25
c) \(\left(x^4\right)^{11}=x\Rightarrow x^{44}=x\)
\(\Leftrightarrow x=\orbr{\begin{cases}0\\1\end{cases}}\)
Vậy x = 0 hoặc x = 1