а) 2^3-x = 162^3-x = 2^43-x = 4-x = 1x = -1
б) 3^(2x) + 7 = 9^(3x) + 159^x + 7 = 729^x + 159^x - 729^x = 15 - 7720^x = 8720^x = 2^35^x = 2x = log5(2)
в) log3(5x + 3) = log3(7x + 5)5x + 3 = 7x + 55 - 3 = 7x - 5x2 = 2xx = 1
а) 2^3-x = 16
2^3-x = 2^4
3-x = 4
-x = 1
x = -1
б) 3^(2x) + 7 = 9^(3x) + 15
9^x + 7 = 729^x + 15
9^x - 729^x = 15 - 7
720^x = 8
720^x = 2^3
5^x = 2
x = log5(2)
в) log3(5x + 3) = log3(7x + 5)
5x + 3 = 7x + 5
5 - 3 = 7x - 5x
2 = 2x
x = 1