Question

log₂1 =

log½ 4 =

log √10 =

25log5² =

Answer 1

log₂1 =x

    2^x = 1

   2^x = 2^0

      x = 0

 

log½ 4 =x

   1/2^x = 4

    2^-x = 2^2

       -x = 2  /:(-1)

        x = -2

 

log √10 = x

     10^x = √10

     10^x = 10^1/2

        x = 1/2

 

25log5² = log(5²)²⁵ = log 5 ⁵⁰

      

    

Answer 2

log₂1 = 0,        bo 2⁰ = 1 

 

log₁/₂ 4 = -2,   bo (1/2)⁻² = 4

 

log √10 = 1/2,  bo 10¹/² = √10

 

25 log 5² = log (5²)²⁵ = log 5⁵⁰

25 log 5² = 25·1,39794 = 34,9485