Question

oblicz:

log8-2log-log5

log₄2+log₄32

log₃¼+log₃108

log₄32+log₄8

log₅½+log₅50

log₂88-log₂22

log₇14-log₇2

log₉27-log₉3

log300-log3

log125+log2+log4

log₆72-log₆2

Answer 1

W I  jest błąd

log 4 [2 ] + log 4 [ 32 ] = log 4 [ 2*32] = log 4 [64] = 3 , bo 4 ^ 3 = 64

log 3 [ 1/4] + log 3 [108 ] = log 3 [ (1/4)*108] = log 3 [ 27 ] = 3, bo 3^3 = 27

log 4 [32] + log 4 [ 8] = log 4 [32*8] = log 4 [256 ] = 4,  bo 4^4 = 256

log 5 [1/2] + log 5 [ 50 ] = log 5 [(1/2) *50] = log 5 [25] = 2,  bo 5^2 = 25

log 2 [88] - log 2 [22] = log 2 [ 88/22] = log 2 [4 ] = 2 ,  bo 2^2 = 4

log7 [14] - log 7 [2] = log 7 [ 14/2] = log 7 [7] = 1 , bo 7^1 = 7

log 9[27] - log 9 [3] = log 9 [27/9] = log 9 [3] = 1/2 , bo 9^(1/2) = 3

log 300 - log 3 = log [300/3] = log 100 = 2, bo 10^2 = 100

log 125 + log 2 + log 4 = log [125*2*4] = log 1000 = 3, bo  10^3 = 1000

log 6 [72] - log 6 [ 2] = log 6 [ 72/2] = log 6 [ 36] = 2,  bo 6^2 = 36