Ispravak eksponencijalne i logaritamske jednadžbe

Authored by Karolina Brleković

Mathematics

11th Grade

Used 6+ times

Ispravak eksponencijalne i logaritamske jednadžbe

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9 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Izraz $y=a^x$ je jednak:

$x=\sqrt[a]{y}$

$x=\log_ay$

$y=\log_ax$

FILL IN THE BLANKS QUESTION

30 sec • 1 pt

Čemu je jednako $\log_aa$

(a)

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Rješenje eksponencijalne jednadžbe $3^{2x-1}=27$ je:

(a)

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Iz $\log_xa=\log_xb$ slijedi $a=b$ zbog svojstva

injektivnosti

inverznosti

bijektivnosti

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Jednadžba $\log_x81=4$ ima rješenje:

(a)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Za logaritamsku jednadžbu $\log_2x+\log_2\left(x-2\right)=3$

-2, 4

$\frac{5}{2}$

-2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Riješi jednadžbu: $100\cdot10^{2x}=10^{\frac{x}{3}}$

1.2

-2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Riješite jednadžbu $6^{2x+1}=5\cdot6^{x+1}+36$

-1

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Riješi jednadžbu: $\log^2x+3\log x+2=0$

x=0.01

x=0

x=0.1

x=10

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Ispravak eksponencijalne i logaritamske jednadžbe

Izraz y=axy=a^xy=ax je jednak:

Čemu je jednako log⁡aa\log_aaloga​a (a)

Rješenje eksponencijalne jednadžbe 32x−1=273^{2x-1}=2732x−1=27 je: (a)

Iz log⁡xa=log⁡xb\log_xa=\log_xblogx​a=logx​b slijedi a=ba=ba=b zbog svojstva

Jednadžba log⁡x81=4\log_x81=4logx​81=4 ima rješenje: (a)

Za logaritamsku jednadžbu log⁡2x+log⁡2(x−2)=3\log_2x+\log_2\left(x-2\right)=3log2​x+log2​(x−2)=3

Riješi jednadžbu: 100⋅102x=10x3100\cdot10^{2x}=10^{\frac{x}{3}}100⋅102x=103x​

Riješite jednadžbu 62x+1=5⋅6x+1+366^{2x+1}=5\cdot6^{x+1}+3662x+1=5⋅6x+1+36

Riješi jednadžbu: log⁡2x+3log⁡x+2=0\log^2x+3\log x+2=0log2x+3logx+2=0

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Discover more resources for Mathematics

Izraz $y=a^x$ je jednak:

Čemu je jednako $\log_aa$

(a)

Rješenje eksponencijalne jednadžbe $3^{2x-1}=27$ je:

(a)

Iz $\log_xa=\log_xb$ slijedi $a=b$ zbog svojstva

Jednadžba $\log_x81=4$ ima rješenje:

(a)

Za logaritamsku jednadžbu $\log_2x+\log_2\left(x-2\right)=3$

Riješi jednadžbu: $100\cdot10^{2x}=10^{\frac{x}{3}}$

Riješite jednadžbu $6^{2x+1}=5\cdot6^{x+1}+36$

Riješi jednadžbu: $\log^2x+3\log x+2=0$