Convert to log form: 3 x = y 3^x=y 3 x = y

log ⁡ 3 y = x \log_3y=x lo g 3 y = x

log ⁡ 3 x = y \log_3x=y lo g 3 x = y

log ⁡ x y = 3 \log_xy=3 lo g x y = 3

log ⁡ y x = 3 \log_yx=3 lo g y x = 3

Convert into log form: e x = 5 e^x=5 e x = 5

log ⁡ e x = 5 \log_ex=5 lo g e x = 5

log ⁡ x e = 5 \log_xe=5 lo g x e = 5

log ⁡ e = 5 \log e=5 lo g e = 5

S o l v e 6 x = 14 Solve\ 6^x=\ 14 S o l v e 6 x = 1 4

( log ⁡ 14 ) ( log ⁡ 6 ) \frac{\left(\log\ 14\right)}{\left(\log\ 6\right)} ( lo g 6 ) ( lo g 1 4 )

( log ⁡ 7 ) ( log ⁡ 3 ) \frac{\left(\log\ 7\right)}{\left(\log\ 3\right)} ( lo g 3 ) ( lo g 7 )

log ⁡ 14 6 \log\ \frac{14}{6} lo g 6 1 4

log ⁡ 7 3 \log\ \frac{7}{3} lo g 3 7

Solving Exponentials and Logs Quiz 4.4-4.5: 18 Questions

18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert to log form: $3^x=y$

$\log_3x=y$

$\log_3y=x$

$\log_xy=3$

$\log_yx=3$

Tags

CCSS.HSF.BF.B.5

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert into log form: $e^x=5$

$\ln5=x$

$\log_ex=5$

$\log_xe=5$

$\log e=5$

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$Simplify\ \log_464$

3

4

2

8

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$Simplify\ \log_3\left(\frac{1}{9}\right)$

3

-3

2

-2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve $2^{\left(x+3\right)}=16$

-1

1

7

2

Tags

CCSS.HSF.LE.A.4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$Solve\ 2^{4x}=8$

1/2

3/4

4/3

2

Tags

CCSS.HSF.LE.A.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$Solve\ 6^x=\ 14$

$\frac{\left(\log\ 7\right)}{\left(\log\ 3\right)}$

$\frac{\left(\log\ 14\right)}{\left(\log\ 6\right)}$

$\log\ \frac{14}{6}$

$\log\ \frac{7}{3}$

Tags

CCSS.HSF.BF.B.5

8.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$Solve\ \log_3\left(5x-1\right)\ =\ \log_3\left(x+7\right)$

-2

2

4/3

5

9.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$Solve\ \log_33x\ =\ 4$

9

6

27

81

Tags

CCSS.HSF.BF.B.5

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the first step to solving:
$\log_5\left(3x+1\right)\ =\ 2$ ?

Drop logs from both sides

Exponentiate (convert to exponential form)

Take the log of both sides (Logify)

Subtract 1 from both sides

Tags

CCSS.HSF.BF.B.5

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Solving Exponentials and Logs Quiz 4.4-4.5

Convert to log form: 3x=y3^x=y3x=y

Convert into log form: ex=5e^x=5ex=5

Simplify log⁡464Simplify\ \log_464Simplify log4​64

Simplify log⁡3(19)Simplify\ \log_3\left(\frac{1}{9}\right)Simplify log3​(91​)

Solve 2(x+3)=162^{\left(x+3\right)}=162(x+3)=16

Solve 24x=8Solve\ 2^{4x}=8Solve 24x=8

Solve 6x= 14Solve\ 6^x=\ 14Solve 6x= 14

Solve log⁡3(5x−1) = log⁡3(x+7)Solve\ \log_3\left(5x-1\right)\ =\ \log_3\left(x+7\right)Solve log3​(5x−1) = log3​(x+7)

Solve log⁡33x = 4Solve\ \log_33x\ =\ 4Solve log3​3x = 4

What is the first step to solving: log⁡5(3x+1) = 2\log_5\left(3x+1\right)\ =\ 2log5​(3x+1) = 2 ?

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Discover more resources for Mathematics

Convert to log form: $3^x=y$

Convert into log form: $e^x=5$

$Simplify\ \log_464$

$Simplify\ \log_3\left(\frac{1}{9}\right)$

Solve $2^{\left(x+3\right)}=16$

$Solve\ 2^{4x}=8$

$Solve\ 6^x=\ 14$

$Solve\ \log_3\left(5x-1\right)\ =\ \log_3\left(x+7\right)$

$Solve\ \log_33x\ =\ 4$

What is the first step to solving:
$\log_5\left(3x+1\right)\ =\ 2$ ?