Question

Oblicz :

a) log2 2 do potegi 10

b) log2 2 do potegi 15

c) log2 2

d) log2 32

e) log2 1

f) log2 1/2

g) log2 1/64

h) log2 po pierwiastkiem2

i) log 2 pod pierw.8

j) log2 pirew.3 pod pierw.4

Ps. byle szybko

Answer 1

a)  log 2 [ 2^10] = 10* log 2 [2] = 10*1 = 10

b)  log 2 [ 2^15] = 15

c)  log 2 [ 2] = 1

d)  log 2 [32] = log 2 [ 2^5] = 5

e)   log 2 [ 1] = 0, bo 2 ^0 = 1

f)   log 2 [1/2 ] = - 1 , bo  2^(-1) = 1/2

g)  log 2 [ 1/64 ] = log 2 [ 2 ^(-6)] = - 6

h(  log 2 [ p(2)] = 1/2  , bo  2 ^(1/2) = p(2)

i )  log 2 [ p(8) ] = log 2 [ p( 4*2)] = log 2 [ 2 p(2)] = log 2 [ 2^(3/2)] = 3/2

j)  log 2 [ 2 ^(2/3)] = 2/3

p 3 st z 4 = 2^(2/3)