4.3B Skill Check - Log Equations

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

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

Solve for x.
 $\log_{196}\left(x\right)=\frac{1}{2}$  

• 14

• 98

• 392

• No solution

Tags

CCSS.HSF.BF.B.5

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

• 12

• 60

• 64

• No solution

Tags

CCSS.HSF.BF.B.5

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

•  $\frac{37}{36}$  

•  $-\frac{1331}{8}$  

•  $-\frac{1}{28}$  

• 11

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Solve for x.
 $-6\log_{12}\left(x-5\right)=-6$  

• -1

• -864

• 2

• 17

Tags

CCSS.HSF.BF.B.5

Solve for x.
 $\log_3\left(x-4\right)-\log_3\left(x\right)=1$  

• -2

• 0

• 1

• No solution

Tags

TEKS.MATH.2A.5D

TEKS.MATH.2A.5E

TEKS.MATH.P.5H

 $\log_4\ 6\ +\ \log_4\ x\ =\ 2$  

•  $\frac{32}{5}$  

• 32

•  $\frac{8}{3}$  

• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

 $\log_4\ 7\ +\ \log_{4\ }\ \left(x\ -\ 2\right)\ =\ \log_4\ 62$  

•  $\frac{76}{7}$  

•  $-\frac{19}{6}$  

• 42

•  $\frac{10}{3}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4