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Mũ cụ thể như thế nào vậy bạn?
5.3^x+6 là $5.3^{x+6}$ hay $5.3^x+6$?
2.5^5+3 là $2.5^{5+3}$ hay $2.5^5+3$??
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c, \(5^{x+4}-3\cdot5^{x+3}=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\cdot5-3\cdot5^{x+3}=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\left(5-3\right)=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\cdot2=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}=5^{11}\)
\(\Leftrightarrow x+3=11\)
\(\Leftrightarrow x=8\)
Vậy x = 8
d, \(2^x+2^{x+1}+2^{x+2}+2^{x+3}+2^{x+4}+2^{x+5}=480\)
\(\Leftrightarrow2^x\left(1+2+2^2+2^3+2^4+2^5\right)=480\)
\(\Leftrightarrow2^x\cdot63=480\)
\(\Leftrightarrow2^x=\frac{160}{21}\)
\(\Leftrightarrow x\approx2,93\)
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5.3x = 5.34
=> x = 4
5.34 = 7.35 - 2.35
= 35 . (7 - 2)
= 5. 35
=> 3x = 35
=> x = 5
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\(6^2-\left(x+3\right)=45\)
\(36-\left(x+3\right)=45\)
\(x+3=35-45\)
\(x+3=-10\)
\(x=-13\)
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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
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a: \(=\dfrac{-3}{5}\cdot\dfrac{5}{7}+\dfrac{-3}{5}\cdot\dfrac{3}{7}+\dfrac{-3}{5}\cdot\dfrac{6}{7}\)
\(=\dfrac{-3}{5}\left(\dfrac{5}{7}+\dfrac{3}{7}+\dfrac{6}{7}\right)=\dfrac{-3}{5}\cdot2=-\dfrac{6}{5}\)
b: \(=\dfrac{3}{13}\cdot\dfrac{6}{11}+\dfrac{3}{13}\cdot\dfrac{5}{11}-\dfrac{2}{13}=\dfrac{3}{13}-\dfrac{2}{13}=\dfrac{1}{13}\)
c: =>1/2x+1+3/8=7/16
=>1/2x=-15/16
=>x=-15/8
d: =>5/2x-1/3=1/6*(-9)/2=-9/12=-3/4
=>5/2x=-3/4+1/3=-9/12+4/12=-5/12
=>x=-1/6
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a) Đề:
<=> (2x - 17). 56 = 59
<=> 2x - 17 = 59 : 56
<=> 2x - 17 = 53
<=> 2x - 17 = 125
<=> 2x = 142
<=> x = 71
Vậy x = 71
b) Đề:...........
<=> 3. x3 - 67 = 125
<=> 3. x3 = 192
<=> x3 = 64
<=> x = 4
Vậy x = 4
c) Đề:...........
<=> 53x - 2 - 2. 125 = 125. 3
<=> 53x - 2 - 250 = 375
<=> 53x - 2 = 625
<=> 53x - 2 = 54
<=> 3x - 2 = 4
<=> 3x = 6
<=> x = 2
Vậy x = 2
53x-2.55=55.3
=> 53x=55.(3+2)
=> 53x=56
=> 3x=6
=> x=2
53x = 55 . 3 + 2 . 55
53x = 55 . 5
53x = 56
53x = 53.2
=> x = 2
Vay x = 2
Mong cac ban ung ho minh nha