Question

Помогите срочно дам 90 баллов

Answer 1

1) 
∛(64*0,125) =∛(4³*0.5³ )= ∛ (4*0.5)³ =  ∛2³ = 2
⁴√(0.0016*81)= ⁴√(0.2⁴ * 3⁴) = ⁴√0.6⁴ = 0.6
∛(49*189)  = ∛(7²*7*3³) = ∛(7*3)³ = ∛21³ = 21

2)
7^(x -3) = 7^(3x+1)
x - 3 = 3x + 1
x - 3x = 1 +3
-2x= 4
x = 4/ (-2) 
x = -2
---------------
7^(-2-3)  = 7^(3*(-2)  + 1 )
7^(-5) = 7^(-5)

6^(12-x) = 36^x
6^(12-x) = 6^2x
12-x=2x
-x-2x=-12
-3x=-12
x=(-12)/(-3)
x= 4
--------------
6^(12-4) = 36^4
6^8 = (6^2) ^4
6^8 = 6^8

3) log₂ 16 = 4
    log₃ 81 = 4
    7^(log₇14) = 14

4)
log₃(1+x) = 2
1+x = 3²
1+x = 9
x= 9-1
x=8

log₂(3x - 6) = log₂(2x - 3)
3x - 6 = 2x - 3
3x - 2x = -3 +6
x= 3