Решить, подалуйста! это . 1. (0.6)^х * (0.6)^3 = (0.6)^2x / (0.6)^5 2. 6^3x * 1/6 = 6 * (1/6)^2x 3. 5^x = 8^x 4. 64^x - 8^x - 56 = 0

1. (0.6)^х * (0.6)^3 = (0.6)^2x / (0.6)^5
(0.6)^(х + 3) = (0.6)^(2x  - 5)
x + 3 = 2x - 5
2x - x = 3 + 5
x = 8

2. 6^3x * 1/6 = 6 * (1/6)^2x
 6^3x * 6^(-1) = 6 * (6)^(-2x)
6^(3x - 1) = 6^(1 - 2x)
3x - 1 = 1 - 2x
3x + 2x = 1 + 1
5x = 2
x = 2/5
x = 0,4

3. 5^x = 8^x
делим на 8^x
(5/8)^x = 1
(5/8)^x = (5/8)^0
x = 0

4. 64^x - 8^x - 56 = 0
8^2x - 8^x - 56 = 0
8^x = z, z > 0
z² - z - 56 = 0
z₁ = - 7< 0 не удовлетворяет условию z > 0 
z₂ = 8
8^x = 8^1
 x = 1