Question

1) log2 x < 1/2
2) log0.2 x < -3
3) log1/4 x/5 >1

Answer 1

1)

$log_2 x < frac{1}{2} \x<(frac{1}{2} )^2\x<frac{1}{4}\x<0,25$

2)

$log_{0.2} x < -3\log_{frac{1}{5} }x<-3\x<-3^{frac{1}{5}}\x<sqrt[5]{-3}$

3)

$log_{frac{1}{4}}frac{x}{5} >1\frac{x}{5} >1^{frac{1}{4} }\frac{x}{5} >1\x>5$

Answer 2

Ответ:

1) log2x<1/2

log2x=1/2

x=1/2^2

x= 1/4

х =0,25

2) log 0,2x<-3

log0,2x=-3

log1/5x=-3

x=-3^1/5

x=5 корень 3

3) log 1/4 x/5 >1

log1/4 x/5=1

x/5 = 1^1/4

x/5= 1

x=5