Question

Помогите с примерами.
a) 2^4x=8
b) 9^x-5=1
c) 6^4x^2-2x=36
d) 27x=5^3x


2.
a) 2^2x-6*2^x+8=0


3.
a)3^x+3^x+2>30

Answer 1

5(х-3) = -2(х-4)+6
5х - 15 = - 2х + 8 + 6
5х + 2 х = 14 + 15
7х = 29
х = 29/7
х = 4 1/7
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5 ( 4 1/7 - 3) = - 2 (4 1/7 - 4) + 6
5 * 1 1/7 = - 2 * 1/7 + 6
(5*8)/7 = - 2/7 + 6
40/7 = 5 5/7
5 5/7 = 5 5/7

9/10 * х = - 5
х = - 5 : 9/10 = - 5/1 * 10/9
х = - 50/9
х = - 5 5/9
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9/10 * (-50/9) = - 5
-50/10 = -5
-5=-5

-3/7 * х = -27/49
х = - 27/49 : (-3/7) = - 27/49 * (-7/3) = (9 * 1) /(7*1)
х = 9/7
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- 3/7 * 9/7 = - 27/49
- 27/49 = - 27/49