10ˣ=0,001
10ˣ=10⁻³
х=-3
4ˣ⁻¹+4ˣ+4ˣ⁺¹=84
4ˣ⁻¹+4*4ˣ⁻¹+4²*4ˣ⁻¹=84
4ˣ⁻¹(1+4+16)=84
21*4ˣ⁻¹=84
4ˣ⁻¹=4
х-1=1
х=2
0,2³ˣ⁻⁴>1
0,2³ˣ⁻⁴>0,2⁰
3х-4 <0
3х <4
х <4/3
х <1 1/3
2ˣ⁺²=√0,5
2ˣ⁺²=√(1/2)
![2^{x+2}=2^{- \frac{1}{2} }](https://tex.z-dn.net/?f=2%5E%7Bx%2B2%7D%3D2%5E%7B-+%5Cfrac%7B1%7D%7B2%7D+%7D)
x+2=-1/2
x=-2,5
3*2ˣ⁺⁵-7*2ˣ⁺²=272
3*2³*2ˣ⁺²-7*2ˣ⁺²=272
2ˣ⁺²(3*8-7)=272
17*2ˣ⁺²=272
2ˣ⁺²=16
2ˣ⁺²=2⁴
x+2=4
x=2
2⁵⁻⁶ˣ>1/8
2⁵⁻⁶ˣ>2⁻³
5-6x>-3
-6x>-8
x <8/6
x <4/3
x <1 1/3
![\sqrt[4]{256} = 4^x \\ \sqrt[4]{4^4} = 4^x](https://tex.z-dn.net/?f=+%5Csqrt%5B4%5D%7B256%7D+%3D+4%5Ex+%5C%5C++%5Csqrt%5B4%5D%7B4%5E4%7D+%3D+4%5Ex+)
4=4ˣ
x=1
2ˣ⁺¹+2ˣ⁻²-2ˣ⁻³+2ˣ⁻⁴=70
2⁵*2ˣ⁻⁴+2²*2ˣ⁻⁴-2*2ˣ⁻⁴+2ˣ⁻⁴=70
2ˣ⁻⁴(32+4-2+1)=70
35*2ˣ⁻⁴=70
2ˣ⁻⁴=2
x-4=1
x=5
2ˣ+2ˣ⁻¹+2ˣ⁻²-56>0
2²*2ˣ⁻²+2*2ˣ⁻²+2ˣ⁻²>56
2ˣ⁻²(4+2+1)>56
7*2ˣ⁻²>56
2ˣ⁻²>8
2ˣ⁻²>2³
x-2>3
x>5
0,2^13*5^13=(0.2*5)^13=1^13=1
7) 8х-5/3 - 4х+3/4 + 2-9х/2 = 3 обе части умножаем на 12
4(8х-5)-3(4х+3)+6(2-9х)=36
32х-20-12х-9+12-54х=36
-34х-17=36
-34х=36+17
-34х=53
х=-53/34= -1 19/34
4) 3х- 2х+3/2=х+6/3 обе части умножаем на 6
18х-3(2х+3)=2(х+6)
18х-6х-9=2х+12
12х-9=2х+12
12х-2х=12-9
10х=21
х=21/10 = 2 1/10