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Logaritamske jednadžbe

Authored by Tatjana Plantak

Mathematics

10th - 12th Grade

Used 6+ times

Logaritamske jednadžbe
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8 questions

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1.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Koji broj je rješenje jednadžbe  log(x+1)log(x1)=log2\log\left(x+1\right)-\log\left(x-1\right)=\log2  ?

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Riješite jednadžbu:  logx+log(x3)=1\log x+\log\left(x-3\right)=1  

 2-2  

 2-2  i  55  

 55  

nema rješenja

3.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Koji broj je rješenje jednadžbe  log2(4x2)+log2(8x)=8\log_2\left(4x^2\right)+\log_2\left(8x\right)=8  ?

4.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

Koji broj je rješenje jednadžbe  2 logxlogx1logx=2logx1\frac{2\ \log x}{\log x-1}-\log x=\frac{2}{\log x-1}  ?

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Koliki je umnožak rješenja jednadžbe  log(0.1x2)log10x=3\log\left(0.1x^2\right)\cdot\log\frac{10}{x}=-3  ?

 100100  

 101010\sqrt{10}  

 1010\frac{10}{\sqrt{10}}  

 1010\frac{\sqrt{10}}{10}  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Kojem intervalu pripada rješenje jednadžbe  log5[2+log3(x+3)]=0\log_5\left[2+\log_3\left(x+3\right)\right]=0  ?

 <,3><-\infty,-3>  

 <3,1><-3,-1>  

 <1,2><-1,2>  

 <2,+><2,+\infty>  

7.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Riješite jednadžbu: log3x+log27x+4=0\log_3x+\log_{27}x+4=0  
(moguće je više točnih odgovora)

 127\frac{1}{27}  

 333^{-3}  

 27127^{-1}  

 27-27  

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