1)x>-1 3)x>2
x+1=2 x-2=4
x=1 x=6
2)x>1 4)2^x=a;a>0
x-1=1/27 a²-3a+2=0
x=1/27+1 a=1;a=2
x=28/27 2^x=1;x=0
2^x=2;x=1
5)x>0
[tex] log_{2}x=a [/tex]
a²+3a+2=0
a=-1;a=-2
[tex] log_{2}x=-1;x= \frac{1}{2} \\ log_{2}x=-2;x= \frac{1}{4} [/tex]
6)x>0
[tex] log_{5}x=t;t^2-6t+5=0 \\ t_{1}=1;t x_{2}=5 \\ log_{5}x=1;x=5 \\ log_{5}x=5;x= 5^{5} [/tex]
7)2^x=16;2^x=2^4;x=4
3^x=1/3;x=-1
10^x=0,1;x=-1
[tex] 3^{x}= \sqrt[7]{3^2} ;3^x= 3^{ \frac{2}{7} } ;x= \frac{2}{7} [/tex]