Solve for x. 8 + log ⁡ 6 ( x − 1 ) = 6 8+\log_6\left(x-1\right)=6 8 + lo g 6 ( x − 1 ) = 6

− 1331 8 -\frac{1331}{8} − 8 1 3 3 1

− 1 28 -\frac{1}{28} − 2 8 1

S o l v e 3 × 1 0 4 t = 522 Solve\ 3\times10^{4t}=522 S o l v e 3 × 1 0 4 t = 5 2 2

t = log ⁡ ( 174 ) 4 t=\frac{\log\left(174\right)}{4} t = 4 lo g ( 1 7 4 )

t = log ⁡ ( 43.5 ) t=\log\ \left(43.5\right) t = lo g ( 4 3 . 5 )

t = log ⁡ 30 ( 130.5 ) t=\log_{30}\left(130.5\right) t = lo g 3 0 ( 1 3 0 . 5 )

t = log ⁡ 30 ( 522 4 ) t=\log_{30}\left(\frac{522}{4}\right) t = lo g 3 0 ( 4 5 2 2 )

S o l v e 2 2 x − 7 × 2 x + 12 = 0. Solve\ 2^{2x}-7\times2^x+12=0. S o l v e 2 2 x − 7 × 2 x + 1 2 = 0 .

x = 2 o r x = log ⁡ 2 3 x=2\ or\ x=\log_23 x = 2 o r x = lo g 2 3

x = log ⁡ 2 3 x=\log_23 x = lo g 2 3

x = log ⁡ 3 2 x=\log_32 x = lo g 3 2

x = 2 o r x = log ⁡ 3 2 x=2\ or\ x=\log_32 x = 2 o r x = lo g 3 2

S o l v e 2 ( 3 x − 1 ) = 3 ( x + 2 ) . Solve\ 2^{\left(3x-1\right)}=3^{\left(x+2\right)}. S o l v e 2 ( 3 x − 1 ) = 3 ( x + 2 ) .

x = log ⁡ 2 + 2 log ⁡ 3 log ⁡ 2 + log ⁡ 3 x=\frac{\log\ 2+2\log3}{\log\ 2+\log3} x = lo g 2 + lo g 3 lo g 2 + 2 lo g 3

x = 2 log ⁡ 3 log ⁡ 3 x=\frac{2\ \log\ 3}{\log\ 3} x = lo g 3 2 lo g 3

x = log ⁡ 2 + 2 log ⁡ 3 log ⁡ 2 − log ⁡ 3 x=\frac{\log2\ +2\log\ 3}{\log\ 2-\log\ 3} x = lo g 2 − lo g 3 lo g 2 + 2 lo g 3

x = log ⁡ 2 + log ⁡ 3 log ⁡ 2 + 2 log ⁡ 3 x=\frac{\log\ 2+\log\ 3}{\log\ 2+2\log\ 3} x = lo g 2 + 2 lo g 3 lo g 2 + lo g 3

Solving Log Equations

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.5, HSA.CED.A.1, HSF.LE.A.4

+4

Standards-aligned

Kim Rosselle

Used 34+ times

FREE Resource

16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve

A

B

C

D

Tags

CCSS.HSF.BF.B.5

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve

A

B

C

D

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve

A

B

C

D

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve

A

B

C

D

Tags

CCSS.HSF.BF.B.5

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for x.
$\log_8\left(x+4\right)=2$

12

60

64

No solution

Tags

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for x.
$\log_{20}\left(2x-100\right)=3$

80

1023

4050

No solution

Tags

CCSS.HSF.BF.B.5

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for x.
$\log_3\left(2x-6\right)=\log_3\left(3x-7\right)$

-3

14

-8

No solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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Solving Log Equations

16 questions

Solve

Solve

Solve

Solve

Solve for x.
$\log_8\left(x+4\right)=2$

Solve for x.
$\log_{20}\left(2x-100\right)=3$

Solve for x.
$\log_3\left(2x-6\right)=\log_3\left(3x-7\right)$

Solve for x.
$8+\log_6\left(x-1\right)=6$

Solve for x.
$-7\log_2\left(x+9\right)=0$

Solve. Check for extraneous solutions. log₂(x²- 6) = log₂(2x+2)

Create a free account and access millions of resources

Similar Resources on Wayground

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Discover more resources for Mathematics

Solving Log Equations

16 questions

Solve

Solve

Solve

Solve

Solve for x. log⁡8(x+4)=2\log_8\left(x+4\right)=2log8​(x+4)=2

Solve for x. log⁡20(2x−100)=3\log_{20}\left(2x-100\right)=3log20​(2x−100)=3

Solve for x. log⁡3(2x−6)=log⁡3(3x−7)\log_3\left(2x-6\right)=\log_3\left(3x-7\right)log3​(2x−6)=log3​(3x−7)

Solve for x. 8+log⁡6(x−1)=68+\log_6\left(x-1\right)=68+log6​(x−1)=6

Solve for x. −7log⁡2(x+9)=0-7\log_2\left(x+9\right)=0−7log2​(x+9)=0

Solve. Check for extraneous solutions. log2(x2 - 6) = log2(2x+2)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve for x.
$\log_8\left(x+4\right)=2$

Solve for x.
$\log_{20}\left(2x-100\right)=3$

Solve for x.
$\log_3\left(2x-6\right)=\log_3\left(3x-7\right)$

Solve for x.
$8+\log_6\left(x-1\right)=6$

Solve for x.
$-7\log_2\left(x+9\right)=0$

Solve. Check for extraneous solutions. log₂(x²- 6) = log₂(2x+2)