Question

oblicz x : log(x+2)7=1 , log(x+1)1/2=-1 , log2x1000=3, oblicz x : log6 x=2log6 4- log6 18

Answer 1

def logarytmu loga b=c --> a^c=b 

log(x+2)7=1 ,

(x+2)^1=7

x+2=7

x=5

log(x+1)1/2=-1 ,

(x+1)^-1=1/2

1/(x+1)=1/2

x+1=2

x=1

log2x1000=3,

(2x)^3=1000

8x^3=1000

x^3=125

x=5

log6 x=2log6 4- log6 18

log6 x=log6 4²-log6 18

log6 x = log6 (16/18)

x=16/18=8/9