Question

zad1liczba log 12 jest równa:

a)log3 * log4

b)log3 + log4

c)log 16 - log4

d)log10+ log2

zad2

okrag opisany na kwadracie ma promień 4, ile wynosi długośc boku tego kwadratu??

zad3

liczba log36 jest rowna

a)2log18

b)log40 - 2log2

c)2log4 - 3log2

d)2log6 - log1

Answer 1

z.1

log 12 =log 3*4 =  log3 + log 4

Odp.b

==============================

z.2

r = 4 , to  d = 2r = 8

d = a√2

a√2 = 8  --> a =  8 : √2 = 4√2

Odp.a = 4√2

===============

z.3

log 36 = 2log 6 - log1 ,

bo 2log 6 - log 1 = log 6² - log 1 = log (36/1) = log 36

Odp. d

=============================================================

Answer 2

1. b

log 3+log 4=

log (3*4)=

log 12

 

2.

r=4

d=a√2=2r

 

2*4=a√2

a=8/√2

a=8√2/2

a=4√2

 

3. d

2log 6 - log 1=

log 6² - log 1=

log 36 - log 1=

log (36/1)=

log 36

 

 

 

Answer 3

Zad.1

log3+log4=log (3x4)=log 12

 

Zad.2

d=a√2

r=4

d=2r

d=2x4

d=8

8=a√2

8/√2=a

a=8√2/2

a=4√2

 

Zad.3

2log6 - log1= log6²-log1=log36-log1=log36/1=log36