log ⁡ 4 log ⁡ 3 81 = \log_4\log_381= lo g 4 lo g 3 8 1 =

2 \sqrt{2} 2 <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">

log ⁡ 8 15 ⋅ log ⁡ 15 7 ⋅ log ⁡ 7 64 = \log_815\cdot\log_{15}7\cdot\log_764= lo g 8 1 5 ⋅ lo g 1 5 7 ⋅ lo g 7 6 4 =

2 \sqrt{2} 2 <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">

log ⁡ 5 3 ⋅ log ⁡ 11 25 ⋅ log ⁡ 3 11 = \log_53\cdot\log_{11}25\cdot\log_311= lo g 5 3 ⋅ lo g 1 1 2 5 ⋅ lo g 3 1 1 =

2 \sqrt{2} 2 <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">

Свойства логарифмов

Authored by Olga Plekhanova

Mathematics

10th Grade

Used 81+ times

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25 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\log_{\frac{1}{3}}81=$

- 4

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\log_4\log_381=$

0,5

$\frac{1}{3}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\log_4\log_381=$

$\sqrt{2}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\frac{\lg64}{\lg4}=$

$\lg16$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\log_412+\log_43-\log_49=$

$\log_46$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$2\log_26+\log_2\frac{13}{9}-\log_213=$

- 13

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\log_35-\log_35\cdot\log_510+\log_318=$

$\log_35$

$\log_53$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\log_815\cdot\log_{15}7\cdot\log_764=$

0,5

$\sqrt{2}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$Найти\ \log_672,\ если\ \log_62=а,\ \log_63=b$

3a + 2b

2a + 3b

a - b

a + b

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\lg2\left(\log_220+\log_23-\log_26\right)=$

0,5

- 1

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Свойства логарифмов

log⁡1381=\log_{\frac{1}{3}}81=log31​​81=

log⁡4log⁡381=\log_4\log_381=log4​log3​81=

log⁡4log⁡381=\log_4\log_381=log4​log3​81=

lg⁡64lg⁡4=\frac{\lg64}{\lg4}=lg4lg64​=

log⁡412+log⁡43−log⁡49=\log_412+\log_43-\log_49=log4​12+log4​3−log4​9=

2log⁡26+log⁡2139−log⁡213=2\log_26+\log_2\frac{13}{9}-\log_213=2log2​6+log2​913​−log2​13=

log⁡35−log⁡35⋅log⁡510+log⁡318=\log_35-\log_35\cdot\log_510+\log_318=log3​5−log3​5⋅log5​10+log3​18=

log⁡815⋅log⁡157⋅log⁡764=\log_815\cdot\log_{15}7\cdot\log_764=log8​15⋅log15​7⋅log7​64=

Найти log⁡672, если log⁡62=а, log⁡63=bНайти\ \log_672,\ если\ \log_62=а,\ \log_63=bНайти log6​72, если log6​2=а, log6​3=b

lg⁡2(log⁡220+log⁡23−log⁡26)=\lg2\left(\log_220+\log_23-\log_26\right)=lg2(log2​20+log2​3−log2​6)=

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$\log_{\frac{1}{3}}81=$

$\log_4\log_381=$

$\log_4\log_381=$

$\frac{\lg64}{\lg4}=$

$\log_412+\log_43-\log_49=$

$2\log_26+\log_2\frac{13}{9}-\log_213=$

$\log_35-\log_35\cdot\log_510+\log_318=$

$\log_815\cdot\log_{15}7\cdot\log_764=$

$Найти\ \log_672,\ если\ \log_62=а,\ \log_63=b$

$\lg2\left(\log_220+\log_23-\log_26\right)=$