1) 2х = 1/5
х = 1/10
2) 3^х = 3³
х = 3
3) 7^(1 - 3х) = 7^10
1 - 3х = 10
х = -3
4) 2^(2х + 1) = 2^5
2х + 1 = 5
х = 2
5) 4^(2 + х) = 4^0
2 + х = 0
х = -2
6) (1/5)^(4х - 3) = (1/5)^(-1)
4х - 3 = -1
х = 0,5
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Answers & Comments
1) 2х = 1/5
х = 1/10
2) 3^х = 3³
х = 3
3) 7^(1 - 3х) = 7^10
1 - 3х = 10
х = -3
4) 2^(2х + 1) = 2^5
2х + 1 = 5
х = 2
5) 4^(2 + х) = 4^0
2 + х = 0
х = -2
6) (1/5)^(4х - 3) = (1/5)^(-1)
4х - 3 = -1
х = 0,5