Oblicz: a) 2 log 3 + 3 log 2= b) 3 log 4 - 4 log 2= c) 2 log √3 + 3 log 1= d) log log log log 10¹⁰ = e) log₃ 6 + log₃ √0,75 = f) log₄(3+log₃(1+log₂ 4))= g) log₄(1+log₄(2+log₄16))=

Oblicz: a) 2 log 3 + 3 log 2= b) 3 log 4 - 4 log 2= c) 2 log √3 + 3 log 1= d) log log log log 10¹⁰ = e) log₃ 6 + log₃ √0,75 = f) log₄(3+log₃(1+log₂ 4))= g) log₄(1+log₄(2+log₄16))=
Odpowiedź

a)  2 log 3 + 3 log 2 = log 3^2 + log 2^3 = log 9 + log 8 = log (9*8 ) = log 72 b) 3 log 4 - 4 log 2 = log 4^3 - log2^4 = log 64 - log 16 = lig( 64/16) = log 4 c)  2 log p(3) + 3 log 1 = log ( p(3))^2 + 3*0 = log 3 d)  Nie mogę odczytać wykladnika Czy to jest 10 ?   e)  log 3 ( 6) + log 3 [ p(0,75)] = log 3 ( 3*2) + log 3 [ p(3/4)] = = log 3 (3) + log 3(2) + log 3 [ p(3)/2 ] = = 1 + log 3(2) + log 3 [ p(3)] - log 3 (2) = = 1 + 1/2 = 1,5 f) log 4 [ 3 + log 3 ( 1 + log 2(4))) = = log 4 [ 3 + log 3 ( 1 + 2)] = log 4[3 + log 3 (3)] = = log 4 [3 + 1] = log 4 (4) = 1   g)  log4 [ 1 + log 4 ( 2 + log 4 (16))) = = log 4 [ 1 + log 4 ( 2 + 2)) = log 4 [ 1 + log 4 (4)] = = log 4 [ 1 + 1] = log 4 (2) = 1/2

Dodaj swoją odpowiedź
Matematyka

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

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...

Matematyka

Oblicz niewiadomą x : a) log₂8=x b)logₓ9=2 c)log₅=1 d) x log₄ 4=2 e)log₆x=log₆ 4 + log₆9 f)log₃x=log₃18-log₃2 g)log x=2 log5+log4

Oblicz niewiadomą x : a) log₂8=x b)logₓ9=2 c)log₅=1 d) x log₄ 4=2 e)log₆x=log₆ 4 + log₆9 f)log₃x=log₃18-log₃2 g)log x=2 log5+log4...

Matematyka

oblicz: log₂ √2 l og₃ ³√3=⅓ log₄ ⁵√16=5 log₃ ³√9 log₂ √½ log₅ ⁵√25 log₅ 5√5 log₉ 3³√3 log₃ 54+log₃ 1,5 log₂ 144-log₂ 9 log₂ 5+ log₂ 5,6 2log₃ 6-log₃ 4 log₄ 20-log₄ 5 log₅ 0,5+2log₅ 20- 3log₅ 2 log20 - log2 log40-log40000

oblicz: log₂ √2 l og₃ ³√3=⅓ log₄ ⁵√16=5 log₃ ³√9 log₂ √½ log₅ ⁵√25 log₅ 5√5 log₉ 3³√3 log₃ 54+log₃ 1,5 log₂ 144-log₂ 9 log₂ 5+ log₂ 5,6 2log₃ 6-log₃ 4 log₄ 20-log₄ 5 log₅ 0,5+2log₅ 20...

Matematyka

Oblicz: log [16} 2 = log [0,5] 32 = log [√2] 6 + 2 log [√2] 2 - log [√2] 3 = log [9] 15 - log [9] 20/3 + 2 log [9] 6 = log [8] √2 =

Oblicz: log [16} 2 = log [0,5] 32 = log [√2] 6 + 2 log [√2] 2 - log [√2] 3 = log [9] 15 - log [9] 20/3 + 2 log [9] 6 = log [8] √2 =...

Matematyka

1. Oblicz : a) log₂ 0,25 + log₃ 1/81 -log 0,001 = b) 2 log₂ 10 - log₂ 25 - 0,1 log₂2¹⁰ =   2. Oblicz x : log₀,₅ x =1+2 log₀,₅ 3

1. Oblicz : a) log₂ 0,25 + log₃ 1/81 -log 0,001 = b) 2 log₂ 10 - log₂ 25 - 0,1 log₂2¹⁰ =   2. Oblicz x : log₀,₅ x =1+2 log₀,₅ 3...