Lglglog(5)x=0;x>0
lglog(5)x=1
log(5)x=10
x=5^10
1) 22753*65,1=1481220,3
2) 65,1*2,247=146,2797
3) 1481220,3-146,2797=1481074,0203
О т в е т: 1481074,0203
√3 - √2 ⁴√3² - ⁴√2² (⁴√3 - ⁴√2)*(⁴√3+⁴√2)
----------- = ------------------ = ------------------------------- = ⁴√3 - ⁴√2
⁴√3+⁴√2 ⁴√3+⁴√2 (⁴√3+⁴√2)
19
--------------------------- - ∛10-∛9 =
∛100 -∛90 +∛81
19
--------------------------- - (∛10 +∛9) =
∛100 -∛90 +∛81
19 - (∛10 +∛9)*(∛10² -∛90 +∛9²)
-------------------------------------------------- =
∛10² -∛90 +∛9²
19 - (∛10³ +∛9³) 19-(10+9) 0
--------------------------------- = -------------------------- = ---------------------- =0
∛10² -∛90 +∛9² ∛10² -∛90 +∛9² ∛10² -∛90 +∛9²
∛56=∛7*8 =∛7*2³ =2*∛7
⁴√(625а⁴b) =⁴√(5⁴а⁴b) =5a*⁴√b
⁴√(32x⁴y⁵)= ⁴√(2⁵x⁴y⁵) =⁴√((2xy)⁴2y)= - 2xy*⁴√2y (x<0)
5∛2 =∛(5³*2) =∛250
2b⁴√3a=⁴√3a*2⁴b⁴ =⁴√(48*a*b⁴)
3y ⁴√2x = ⁴√(2x*3⁴*(-y)⁴) = ⁴√(162x*y⁴)
5x+13<0 5x<-13 x<-13/5=-2.6
<span>x+5>1 x>-4 чЮ-4
x=(-4 -2.6)</span>
Решение
1) b₁ = 3
Sn = 6
Sn =b₁ / (1 - q)
6*(1 - q) = 3
6 - 6q = 3
6q = 3
q = 1/2
b₂ = b₁ * q
b₂ = 3 * (1/2)
b₂ = 1,5
2) b₇ - b₄ = 168; q = 2
b₇ = b₁ * q⁶
b₄ = b₁*q³
b₁ * q⁶ - b₁*q³ = 168
b₁*(q⁶ - q³) = 168
b₁ =168 / (2⁶ - 2³)
b₁ = 168 / (64 - 8)
b₁ = 168 / 56
b₁ = 3
3) bn = b₁ * q^(n - 1)
q = 16/8 = 2
512 = 8 * [2^(n - 1)]
64 = 2^(n - 1)
2⁶ = 2^(n - 1)
n - 1 = 6
n = 7
4) b₄ - b ₁ = 52
b₁ + b₂ + b₃ = 26
b₁*q³ - b₁ = 52
b₁ + b₁q + b₁q² = 26
b₁(q² - 1) = 52, q³ - 1 ≠ 0, q ≠ 1
b₁( 1 + q + q²) = 26
b₁(q - 1)*(q² + q + 1) = 52
26*(q - 1) = 52
26q = 26 + 52
26q = 78
q = 3
b₁(q³ - 1) = 52
b₁ = 52/(q³ - 1)
b₁ = 52/(26)
b₁ = 2
S₆ = [b₁(1 - q⁶)] / (1 - q)
S₆ = [2*(1 - 3⁶) / (1 - 3)]
S₆ = {2*(1 - 729) / (- 2)]
S₆ = 728