Question

Oblicz: (proszę krok po kroku)

1.

2.

Answer 1

1.

 3^ 0,5 log 3  16 = 3^ log 3  16^0,5 = 3 ^ log 3 4 = 4

2.

27 ^ log 3 ( 2 - 1/3) = 27 ^ log 3 (  5/3) =  (3 ^ 3)^ log 3 ( 5/3) = 3 ^ [ 3 log 3 ( 5/3) ] =

= 3^ log 3 [ ( 5/3)^3] = 3 ^ log 3 ( 125/27) =  125/ 27

 

lub

  27 ^ log 3  2  - 1/3 = 27 ^( - 1/3) * 27^ log 3 2 =  ( 1/3) * ( 3^3)^log 3  2 = ( 1/3) * 3^ 3 log 3  2 =

= ( 1/3)* 3 ^log 3 2^3 = ( 1/3)* 3 ^ log 3 8 = ( 1/3) *8 = 8 / 3 = 2  2/3

Answer 2

rozw w zalaczniku,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

i jeszce tw a^(m-n)= a^m · a^(-n)