Question

Розв'язати рівняння:

1) 4 х + 3 = 4;
2) 15 2х–10 = 1;
3) 6 4х – 12 = 36;
4) 8 2х – 1 = 32;

Answer 1

Ответ:

Пошаговое объяснение:

1) 4ˣ⁺³=4¹

x+3 = 1

x = -2

2) 15²ˣ⁻¹⁰=1

15²ˣ⁻¹⁰=15⁰

2x-10 = 0

2x = 10

x = 5

3) 6⁴ˣ⁻¹²=36

6⁴ˣ⁻¹²=6²

4x-12 = 2

4x = 14

x = 3,5

4) 8²ˣ⁻¹=32

2³⁽²ˣ⁻¹⁾=2⁸

2⁶ˣ⁻³=2⁸

6x-3=8

6x = 11

x = 11/6

5)7⁵ˣ⁺²=$\frac{1}{49}$

7⁵ˣ⁺²=7⁻²

5x+2 = -2

5x = -4

x = -4/5

6) 17²⁽ˣ⁻⁵⁾=1

17²⁽ˣ⁻⁵⁾=17⁰

2(x-5) = 0

2x-10=0

2x = 10

x = 5

7) (1$\frac{1}{4}$)ˣ⁻⁷ = $(\frac{4}{5} )$¹⁻²ˣ

(5/4)ˣ⁻⁷ = (5/4)²ˣ⁻¹

x-7 = 2x-1

x = -6

8) $(\frac{3}{8})$⁴ˣ=$(\frac{8}{3} )$ˣ⁻⁶

(3/8)⁴ˣ=(3/8)⁶⁻ˣ

4x = 6-x

5x = 6

x = 6/5