1) 3^x = 81
3^x = 3^4
x = 4
Ответ: x = 4
2)
4^x = 256
4^x = 4^4
3) 2^x = 1/32
2^x = 2^(-5)
x = -5
Ответ: x = -5
4) 5^(x+1) = 125
5^(x+1) = 5^3
x+1=3
x = 3-1 = 2
Ответ: x = 2
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Answers & Comments
1) 3^x = 81
3^x = 3^4
x = 4
Ответ: x = 4
2)
4^x = 256
4^x = 4^4
x = 4
Ответ: x = 4
3) 2^x = 1/32
2^x = 2^(-5)
x = -5
Ответ: x = -5
4) 5^(x+1) = 125
5^(x+1) = 5^3
x+1=3
x = 3-1 = 2
Ответ: x = 2