а) √3 * 3^2x = 1/9
3^½ * 3^2x = 3^-2
3^(½ + 2x)/3^-2 = 1
3^(4x - 4/2) = 1
9^(x - 1) = 1
9^x/9 = 1
9^x = 9
x = log⁹9 = 1
б) 5^x - 7*5^(x-2) = 90
5^x - 7 * 5^x /25 = 90
5^x * (1 - 7/25) = 90
5^x * (18/25) = 90
5^x = 90 * 25/ 18
5^x = 125
x = log⁵125 = 3
а) √3 * 3^2x = 1/9
3^½ * 3^2x = 3^-2
3^(½ + 2x)/3^-2 = 1
3^(4x - 4/2) = 1
9^(x - 1) = 1
9^x/9 = 1
9^x = 9
x = log⁹9 = 1
б) 5^x - 7*5^(x-2) = 90
5^x - 7 * 5^x /25 = 90
5^x * (1 - 7/25) = 90
5^x * (18/25) = 90
5^x = 90 * 25/ 18
5^x = 125
x = log⁵125 = 3