Автор - sanek443

Помогите срочно надо!

Ответ

Автор - nKrynka
Решение 

1)      Log_4 (10) + log_4 (1/640)=
log_4(10/640) = log_4 (1/64) = log_4 (4^(-3) )= - 3*log_4 (4) = - 3



Ответ: 2) – 3



2)     
3log15 (10) * 5log15 (10) = (3*5)log15 (10) = 15log15 (100 = 10



Ответ: 2) 10



3)      Log_3 (b⁻4) = 56,  -4*log_3 b = 56,  log_3 b = - 14



 Log_3 b = - 14



Ответ: 1) -14



4)     
m⁴  m³ logm(n)1/6 = m⁴ * m logm(n)1/2
= m⁴ *√n



Ответ: 4) = m⁴ *√n



5)     
log23*log32
– log4(2)1/3 = 1 –(1/6) log22 = 1 – 1/6 = 5/6



Ответ: 3) 5/6



6)     
log5 log2 log6 6³²
+ 10lg4 = log5 log2 32+ 4 = log5 log2
(2)⁵ + 4 = log5 5 + 4 = 1 + 4 = 5



Ответ: 5



7)     
7log₇3 : log3 (1/3) + log336 –
2log32 = 3 : log₃(3⁻¹) + log₃ 4 +
log₃9 - 2log32 = - 1 + 2log33 + 2log32
- 2log32 = - 1 + 2 = 1



Ответ: 1



8)     
Log345
/ log53 – log315 / log153 = (log33
+ log315)/ log53 – (log315*log315)/log53
=



= (1 + log3215) / log53 = (1 + log35)2 / log53



Ответ:  (1 + log35)2 / log53



 



 

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