03-06 Solving Log Equations

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

• 14

• 98

• 392

• No solution

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

• 12

• 60

• 64

• No solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

• 80

• 1023

• 4050

• No solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

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.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

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

• 6

• -1

• 1.01

• -8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.
 $\log_3\left(7\right)+\log_3\left(2x\right)=2$  

•  $-\frac{9}{8}$  

•  $\frac{13}{2}$  

•  $\frac{9}{14}$  

•  $\frac{9}{40}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

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

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Solve for x.
 $\log_8\left(x\right)+\log_8\left(x+2\right)=1$  

• 2, 13

• 2, -4

• 4

• 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4