5.3^x+6=2.5^5+3
Tìm số nguyên x , nếu biết
1. 7.4^x=7.4^3
2.3/2.5^x =3/2.5^12
3 . 2^x=2.2^8
4. 5.3^x=7.3^5-2.3^5
1) \(7.4^x=7.4^3\Leftrightarrow4^x=4^3;x=3\)
2) \(\frac{3}{2.5^x}=\frac{3}{2.5^{12}}\Leftrightarrow5^x=5^{12};x=12\)
\(2^x=2.2^8=2^9;x=9\)
4) \(5.3^x=7.3^5-2.3^5\Leftrightarrow5.3^x=3^5.\left(7-2\right)\)
\(\Leftrightarrow3^5.x=3^5.5;x=5\)
a, \(5.3^x=5.3^4\)
b, \(5.3^x=7.3^5-2:3^5\)
c, \(5^{x+4}-3.5^{x+3}=2.5^{11}\)
d, \(2^x+2^{x+1}+2^{x+2}+2^{x+3}+2^{x+4}+2^{x+5}=480\)
Làm đầy theo tính ra kết quả thì mk với tik
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, \(2^x+2^{x+1}+2^{x+2}+2^{x+3}+2^{x+4}+2^{x+5}=480\)
\(\Leftrightarrow2^x\left(1+2+2^2+2^3+2^4+2^5\right)=480\)
\(\Leftrightarrow2^x\cdot63=480\)
\(\Leftrightarrow2^x=\frac{160}{21}\)
\(\Leftrightarrow x\approx2,93\)
bn nào trả lời hộ mk ik
đang gấp !!!
2Tìm X:
a.(19x+2.5^2):14=(13-8)^2-4^2
b.2.3^x=10.3^12+8.27^4
c.{x^2-[6^2-(8^2-9.7)^3-7.5]^3-5.3}^3=1
d.60-3(x-2)=51
e.4x-20=2^5:2^2
{ x2 - [ 62 - ( 82 - 9.7)3 - 7.5]3 - 5.3 }3 = 1
{ x2 + [ 36 - (64 - 63)3 - 35]3 - 15}3 = 1
[ x2 - ( 36 - 13 - 35 ) - 15 ]3 = 1
[ x2 - ( 36 - 1 - 35 ) - 15]3 = 1
[ x2 - ( 35 - 35 ) - 15]3 = 1
[ x2 - 0 - 15]3 = 1
( x2 - 15 )3 = 1
<=> ( x2 - 15)3 = 13
=> x2 - 15 = 1
<=> x2 = 16
=> x = 4
Tìm x biết:
a) 5^x+1 - 2.5^x = 75.
b)9^x+1 - 5.3^2x = 324.
a) 5x + 1 - 2.5x = 75
<=> 5x.5 - 2.5x = 75
<=> 5x.3 = 75
<=> 5x = 25
<=> 5x = 52
<=> x = 2
Vậy x = 2
b) 9x + 1 - 5.32x = 324
<=> (32)x + 1 - 5.32x = 324
<=> 32x + 2 - 5.32x = 324
<=> 32x.32 - 5.32x = 324
<=> 32x . 4 = 324
<=> 32x = 81
<=> 32x = 34
<=> 2x = 4
<=> x = 2
Vậy x = 2
\(5^{3x}-2.5^5=5^5.3\)
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
\(5.3^x=5.3^4\)
\(5.3^x=7.3^5-2:3^5\)
5.3x = 5.34
=> x = 4
5.34 = 7.35 - 2.35
= 35 . (7 - 2)
= 5. 35
=> 3x = 35
=> x = 5
a) Ta có: \(5\cdot3^x=5\cdot3^4\)
\(\Leftrightarrow3^x=3^4\)
hay x=4
A (-6.37*0.4)*2.5
B (-0.125*-5.3)*8
C -2.5*(-4)*(-7.9)
A (-6.37*0.4)*2.5=-6.37*(0.4*2.5)=-6.37*1=-6.37
B (-0.125*-5.3)*8=(-0.125*8)*(-5.3)=-1*(-5.3)=5.3
C -2.5*(-4)*(-7.9)=10*(-7.9)=-79
Tính giá trị biểu thức:
\(\frac{6^2.27^5}{4^5.81^6}\)
\(\frac{3^{18}.32^9}{64^7.27^6}\)
\(\frac{9^{12}.3^5+9^{15}}{\left(2.27\right)^5.3^{14}}\)
\(\frac{5^4+2^2.5^2-125}{2^3.3}\)
hinh nhu bn dag loi dung online math
1) 5.2²+ (x+3)=5² 6) 4³ - (x-2)=5²
2) 2³+(x-3²)= 5³-4³ 7) 3⁴+ (x+5)=5.3²
3) 3.2 + (x+5²)=10² 8) 2³.5 - (x+ 3²)=10
4) 2⁶+(5+x)= 3⁴ 9) 3³ - (x+2⁴)=7
5) 5+(x + 3³)= 2⁶ 10) 7² - (15+x)=5.2²
1; 5.22 + (\(x\) + 3) = 52
5.4 + (\(x\) + 3) = 25
20 + (\(x\) + 3) = 25
\(x\) + 3 = 25 - 20
\(x+3\) = 5
\(x\) = 5 - 3
\(x\) = 2
Vậy \(x=2\)
2; 23 + (\(x\) - 32) = 53 - 43
8 + (\(x\) - 9) = 125 - 64
8 + (\(x\) - 9) = 61
\(x\) - 9 = 61 - 8
\(x\) - 9 = 53
\(x\) = 53 + 9
\(x\) = 62
Vậy \(x\) = 62
3; 3.2 + (\(x\) + 52) = 102
6 + (\(x\) + 25) = 100
\(x\) + 25 = 100 - 6
\(x\) + 25 = 94
\(x\) = 94 - 25
\(x\) = 69
Vậy \(x\) = 69