Question

oblicz:

a) log1/10 4

b) log1/2 16

c) log8 √2

d) log√3 27

Answer 1

a) log1/10 4 =−0,60205999132796239042747778944899 

 

b)

log1/2  16 =x

       1/2^x = 16

         2^-x = 2^4

        -x=4  /;(-1)

       x = -4

 

c) log8  √2 = x

      8^x =√2

    (2^3)^x = 2^1/2

     2^3x = 2^1/2

         3x=1/2   /*1/3

         x = 1/6

 

d) log√3  27=x

       √3^x = 27

      (3^1/2)^x = 3^3

          3^1/2x = 3^3

          1/2x = 3   /*2

            x = 6