5. Розв'язати систему рівнянь додавання
(4x +5y = 8,
2х - у = 4.​

1) log₁₂3 + log₁₂4 = log₁₂(3*4) = log₁₂12 = 1
2) log₇98 - log₇2 = log₇(98/2) = log₇49 = 2
3) log₂5-log₂35 + log₂56 = log₂(5/35) + log₂56 = log₂(log₂8 = 3
4) log₁/₃5 - log₁/₃5 + log₁/₃ 9 = log₁/₃9 = -2

1) lg4 + lg250= lg(4*250) = lg1000 = 3
2) log₂6 - log₂ = log₂( = log₂32 = 5
3) (log₁₂4 + log₁₂36)² = (log₁₂144)² = 2² = 4
4) lg13 - lg 130 = lg = lg = -1
5) (log₂13-log₂52)⁵ = (log₂)⁵ = (log₂)⁵ = (-2)⁵ = -32
6) (log₀.₃9 - 2log₀.₃10)⁴ = (log₀.₃9 - log₀.₃100)⁴ = (log₀.₃)⁴ = (log₀.₃0.09)⁴ = 2⁴ = 16

1) log₃x = -1
x = 3⁻¹ = 1/3
2) log₂x = -5
x = 2⁻⁵ = 1/32
3) log₃x = 2
x = 3² = 9
4) log₄x = 3
x = 4³ = 64
5) log₄x = -3
x = 4⁻³ = 1/64
6) log₇x = 0
x = 7° = 1
7) log₁/₇x = 1
x = 1/7
8) log₁/₂x = -3
x = (1/2)⁻³ = 8

1) log₂log₂log₃81 = log₂log₂4 = log₂2 = 1
2) log₂log₃log₁/₃(1/27) = log₂log₃3 = log₂1 = 0
3) log₅125 = 3 = 2
4) log₄log₃81 = log₄4 = 1

1а)7,9   б)-3,5  в)6  2.а)3    б)12   в)3  г)20  3. а)х=±0,8  б)х=±√17  4.а)2у в 4 степени; б)-28    5. 6,1∠√38∠6,2  6. х=3

Объяснение:√196=14,    √0,36=0,6

а)1/2 *14+1,5* 0,6=7+0,9=7,9

б)1,5-7 * 5/7=1,5 -5=-3,5

в)(2√1,5)²=2²*(√1,5)²=4* 1,5= 6

2.а) √0,36*25=√0,36 *√25=0,6*5=3

б)√8*√18=√(4*2*2*9)=4*3=12

в)√27/√3=√(27/3)=√9=3

г)√〖2^4〗*〖5^2〗=2²*5-4*5=20

3.а) х²=0,64

х=±0,8

б)х²=17

х=±√17

4.а) у³√4у²=у³*2у=2 у∧4

б)7а √(16/а²)=-7а* (4/а)=-28

5. 6²=36

(6,1)²=37,21

(6,2)²=38,44

6,1∠√38∠6,2

6.√(х-2)=1 поднесем до квадрата обе части уравнения

х-2=1

х=1+2

х=3