Quiz about ASESMEN SUMATIF 1 EKSPONEN DAN LOGARITMA

Question 1

$$2^9 imes2^{5\ } imes2^{11}=2^{25}$$

Pernyataan tersebut BENAR atau SALAH?

Accepted Answer

BENAR

Answer

SALAH

Answer

TIDAK TAHU

Question 2

Manakah pernyataan berikut yang BENAR?

Accepted Answer

$$\left(q^6\right)^2:\left(q^2\right)^2=q^8$$

Accepted Answer

$$x^5:^{\ }x^3 imes x^{-4}=\frac{1}{x^2}$$

Answer

$$a^5:\ a^3 imes a^4\ =a^8$$

Answer

$$2p^3 imes5p^4=10p^{12}$$

Question 3

Bentuk sederhana dari $$\frac{28p^3r^{-1}}{4p^2r^4}.\ p^2\ $$ adalah ....

Accepted Answer

$$7p^3r^{-5}$$

Answer

$$7p^3r^5$$

Answer

$$7p^{-3}r^{-5}$$

Answer

$$7p^3r^{-4}$$

Question 4

Bentuk sederhana dari $$\frac{\sqrt{81}p^7r^5}{3p^{-2}r^{-4}}.\ p^{-2}$$ adalah ....

Accepted Answer

$$\frac{9}{3}p^7r^9$$

Answer

$$\frac{9}{4}p^7r^9$$

Answer

$$\frac{8}{3}p^7r^9$$

Answer

$$\frac{9}{3}p^7r^{-9}$$

Answer

$$\frac{9}{3}p^{-7}r^9$$

Question 5

Persamaan $$7^{6x-20}=49^{x+4}$$ mempunyai penyelesaian ....

Accepted Answer

7

Answer

-3

Answer

4

Answer

-5

Answer

3

Question 6

$$5^{x^2-2x-8}=1$$

Himpunan penyelesaian persamaan eksponen tersebut adalah ...

Accepted Answer

-2 atau 4

Answer

2 atau -4

Answer

-2 atau -4

Answer

2 atau 4

Answer

2

Question 7

Sebuah industri rumah tangga pada tahun 2021 membeli mesin produksi seharga Rp 100.000.000,00. Jika harga mesin mengalami penurunan 2% tiap tahun, berapa nilai jual mesin pada tahun 2023?

Accepted Answer

Rp 96.040.000,-

Answer

Rp 96.404.000,-

Answer

Rp 96.040.400,-

Answer

Rp 96.044.000,-

Answer

Rp 96.440.000,-

Question 8

$$\sqrt[]{216}+\sqrt[]{6}-\sqrt[]{150}$$

Bentuk sederhana dari bentuk akar tersebut adalah ....

Accepted Answer

$$2\sqrt[]{6}$$

Accepted Answer

$$7\sqrt[]{6}-5\sqrt[]{6}$$

Accepted Answer

$$6\sqrt[]{6}+\sqrt[]{6}-5\sqrt[]{6}$$

Answer

$$\sqrt[]{6}$$

Answer

$$6\sqrt[]{2}$$

Question 9

$$\frac{4}{\sqrt[]{5}-\sqrt[]{3}}=\ ....$$

Accepted Answer

$$2\left(\sqrt[]{5}+\sqrt[]{3}\right)$$

Answer

$$2\left(\sqrt[]{5}+3\right)$$

Answer

$$\left(\sqrt[]{5}+\sqrt[]{3}\right)$$

Answer

$$4\left(\sqrt[]{5}+\sqrt[]{3}\right)$$

Answer

$$2\left(\sqrt[]{5}-\sqrt[]{3}\right)$$

Question 10

$$^5\log_{ }\ 45\ -^5\log_{ }\ 3\ =\ ....\ $$

Accepted Answer

$$^5\log_{ }\ 15$$

Accepted Answer

$$^5\log_{ }\ \left(5 imes3 ight)$$

Answer

$$^5\log_{ }\ 42$$

Answer

$$^5\log_{ }\ 48$$

Answer

$$^5\log_{ }\ 135$$

Question 11

$$^2\log_{ }36\ .^6\log_{ }32\ =\ ....$$

Accepted Answer

10

Accepted Answer

$$^2\log_{ }6^2\ .^6\log_{ }2^5$$

Answer

$$^2\log_{ }4$$

Answer

$$^2\log_{ }6$$

Answer

$$^2\log_{ }68$$

Question 12

$$^2\log_{ }3\ =a$$

$$^3\log_{ }7\ =b$$

maka $$^6\log_{ }112\ =....$$

Accepted Answer

$$\frac{4+ab}{1+a}$$

Answer

$$\frac{1+ab}{4+a}$$

Answer

$$\frac{1+a}{4+ab}$$

Answer

$$\frac{4+a}{1+ab}$$

Answer

$$\frac{a+ab}{1+a}$$

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