Broj 2 − log ⁡ 4 0 , 9 2^{-\log_4\ 0,9} 2 − lo g 4 0 , 9 pripada intervalu

( 1 , 2 ) \left(1,2\right) ( 1 , 2 )

( 0 , 1 ) \left(0,1\right) ( 0 , 1 )

( 2 , 3 ) \left(2,3\right) ( 2 , 3 )

( 3 , 4 ) \left(3,4\right) ( 3 , 4 )

Da bi važilo a x = b ⟺ x = log ⁡ a b a^x=b\Longleftrightarrow x=\log_ab a x = b ⟺ x = lo g a b potrebno je da

a > 0 ∧ a ≠ 1 ∧ b > 0 a>0\ \ \wedge\ a\ne1\ \wedge\ b>0 a > 0 ∧ a  = 1 ∧ b > 0

a > 0 ∧ b > 0 a>0\ \wedge\ b>0 a > 0 ∧ b > 0

a > 0 ∧ a ≠ 1 a>0\ \wedge\ a\ne1\ a > 0 ∧ a  = 1

a ≠ 1 ∧ b > 0 a\ne1\ \wedge\ b>0 a  = 1 ∧ b > 0

Ako je B = 2 log ⁡ 3 2 , C = 1 log ⁡ 2 6 B=\frac{2}{\log_{\sqrt{3}}\ 2}\ \ ,\ C=\frac{1}{\log_2\ 6} B = lo g 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2 2 , C = lo g 2 6 1 , tada je vrednost izraza A = 2 B + 6 C A=2^B+6^C A = 2 B + 6 C jednaka

5 \sqrt{5} 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 \sqrt{3} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Pravila logaritama

Authored by Maja Kostadinović

Mathematics

2nd Grade

Used 2+ times

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10 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\log_{\frac{1}{3}}\left(27\sqrt{3}\ \right)$

$-3,5$

$3,5$

$2,5$

$-2,5$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$7^{\left(\log_73+\log_{49}4\right)}$

$6$

$2$

$3$

$5$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\frac{\log_364}{\log_348-\log_33}$

$1,5$

$2,5$

$3,5$

$2$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Ako je
$a=\log_{\sqrt{3}}\ \frac{1}{9},\ \ b=\log_{0,4}2,25\ ,\ c=\log_4\ \frac{1}{64}$ , onda je

$a<b<c$

$b<c<a$

$c<a<b$

$a<c<b$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Vrednost brojnog izraza
$\frac{\lg5-2\lg2}{3\lg2-1}$ je

$2$

$1$

$-1$

$-2$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Vrednost brojnog izraza
$\log_{\sqrt{3}}\ 8\cdot\log_{4\ }81$ jednaka je

$3$

$12$

$48$

$36$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Broj
$2^{-\log_4\ 0,9}$ pripada intervalu

$\left(0,1\right)$

$\left(1,2\right)$

$\left(2,3\right)$

$\left(3,4\right)$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Ako je
$a=\log_311$ , treće decimalno mesto broja $a$ je

$8$

$2$

$5$

$7$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Da bi važilo
$a^x=b\Longleftrightarrow x=\log_ab$ potrebno je da

$a>0\ \wedge\ b>0$

$a>0\ \wedge\ a\ne1\$

$a\ne1\ \wedge\ b>0$

$a>0\ \ \wedge\ a\ne1\ \wedge\ b>0$

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Ako je $B=\frac{2}{\log_{\sqrt{3}}\ 2}\ \ ,\ C=\frac{1}{\log_2\ 6}$ , tada je vrednost izraza $A=2^B+6^C$ jednaka

$5$

$\sqrt{5}$

$3$

$\sqrt{3}$

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Pravila logaritama

log⁡13(273 )\log_{\frac{1}{3}}\left(27\sqrt{3}\ \right)log31​​(273​ )

7(log⁡73+log⁡494)7^{\left(\log_73+\log_{49}4\right)}7(log7​3+log49​4)

log⁡364log⁡348−log⁡33\frac{\log_364}{\log_348-\log_33}log3​48−log3​3log3​64​

Ako je a=log⁡3 19, b=log⁡0,42,25 , c=log⁡4 164a=\log_{\sqrt{3}}\ \frac{1}{9},\ \ b=\log_{0,4}2,25\ ,\ c=\log_4\ \frac{1}{64}a=log3​​ 91​, b=log0,4​2,25 , c=log4​ 641​ , onda je

Vrednost brojnog izraza lg⁡5−2lg⁡23lg⁡2−1\frac{\lg5-2\lg2}{3\lg2-1}3lg2−1lg5−2lg2​ je

Vrednost brojnog izraza log⁡3 8⋅log⁡4 81\log_{\sqrt{3}}\ 8\cdot\log_{4\ }81log3​​ 8⋅log4 ​81 jednaka je

Broj 2−log⁡4 0,92^{-\log_4\ 0,9}2−log4​ 0,9 pripada intervalu

Ako je a=log⁡311a=\log_311a=log3​11 , treće decimalno mesto broja aaa je

Da bi važilo ax=b⟺x=log⁡aba^x=b\Longleftrightarrow x=\log_abax=b⟺x=loga​b potrebno je da

Ako je B=2log⁡3 2 , C=1log⁡2 6B=\frac{2}{\log_{\sqrt{3}}\ 2}\ \ ,\ C=\frac{1}{\log_2\ 6}B=log3​​ 22​ , C=log2​ 61​ , tada je vrednost izraza A=2B+6CA=2^B+6^CA=2B+6C jednaka

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Discover more resources for Mathematics

$\log_{\frac{1}{3}}\left(27\sqrt{3}\ \right)$

$7^{\left(\log_73+\log_{49}4\right)}$

$\frac{\log_364}{\log_348-\log_33}$

Ako je
$a=\log_{\sqrt{3}}\ \frac{1}{9},\ \ b=\log_{0,4}2,25\ ,\ c=\log_4\ \frac{1}{64}$ , onda je

Vrednost brojnog izraza
$\frac{\lg5-2\lg2}{3\lg2-1}$ je

Vrednost brojnog izraza
$\log_{\sqrt{3}}\ 8\cdot\log_{4\ }81$ jednaka je

Broj
$2^{-\log_4\ 0,9}$ pripada intervalu

Ako je
$a=\log_311$ , treće decimalno mesto broja $a$ je

Da bi važilo
$a^x=b\Longleftrightarrow x=\log_ab$ potrebno je da

Ako je $B=\frac{2}{\log_{\sqrt{3}}\ 2}\ \ ,\ C=\frac{1}{\log_2\ 6}$ , tada je vrednost izraza $A=2^B+6^C$ jednaka