Ответы на вопрос:
N3:
a) x = 2^5; x = 32
б) x + 5 = 4^2
x + 5 = 16
x = 11
в) log3 x = log3 2^3 + 4log3^2 5
log3 x = log3 2^3 + 4 * 1/2 * log3 5
log3 x = log3 2^3 + 2log3 5
log3 x = log3 2^3 + log3 5^2
log3 x = log3 ( 2^3 * 5^2)
log3 x = log3 ( 8 * 25)
log3 x = log3 200
x =200
г) нет решения.
n4:
а) x > 2^3; x > 8
б) x + 7 < (1/2)^-3
x + 7 < 2^3
x + 7 < 8
x < 1
n5:
5^-2+3x = 5^2
- 2 + 3x = 2
3x = 4
x = 4/3
a) x = 2^5; x = 32
б) x + 5 = 4^2
x + 5 = 16
x = 11
в) log3 x = log3 2^3 + 4log3^2 5
log3 x = log3 2^3 + 4 * 1/2 * log3 5
log3 x = log3 2^3 + 2log3 5
log3 x = log3 2^3 + log3 5^2
log3 x = log3 ( 2^3 * 5^2)
log3 x = log3 ( 8 * 25)
log3 x = log3 200
x =200
г) нет решения.
n4:
а) x > 2^3; x > 8
б) x + 7 < (1/2)^-3
x + 7 < 2^3
x + 7 < 8
x < 1
n5:
5^-2+3x = 5^2
- 2 + 3x = 2
3x = 4
x = 4/3
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