Solving exponential & log equations

Solve for x:
4^x- 5 = 12

• 0.489
• 2.552
• 0.893
• 2.044

Tags

CCSS.HSF.LE.A.4

2 * 4^{3x – 6} – 8 = 120

• x = 3
• x = 4
• x = 2.9
• x = 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Solve $2^x=13$  
Round your answer to the nearest 100th

• 1.11

• 0.27

• 3.70

• 3.60

Tags

CCSS.HSF.LE.A.4

Solve $5\cdot3^x=7$  
Round to the nearest 100th

• 0.31

• 3.27

• 2.58

• 0.87

Tags

CCSS.HSF.LE.A.4

In solving  $-5\cdot3^x-4=26$  what is the first step ?

• divide both sides by -5

• take  $\log_3$  of both sides

• add 4 to both sides

• add 5 to both sides

Solve:
log₉(x)+log₉(x+2)=log₉(35)

• 5
• -7
• 5, -7
• -7, -13

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve

• 5
• 13
• 84
• -20

Tags

CCSS.HSF.BF.B.5

log₆(2x + 3) = 3

• x = 106.5
• x = 100
• x = 16
• x = 50

Tags

CCSS.HSF.BF.B.5

 $\log_3\left(x+5\right)-\log_3\left(x-3\right)=2$  Select ALL correct steps (it is possible to select more than one answer)

•  $\log_3\left(x+5-x+3\right)=2$  

•  $\frac{\log_3\left(x+5\right)}{\log_3\left(x-3\right)}=2$  

•  $x=4$  

•  $\frac{x+5}{x-3}=9$  

•  $\log_3\left(\frac{x+5}{x-3}\right)=2$  

Solve:
_{log (−2a + 9) = log (7 − 4a)} 

• -5
• -1
• 1
• 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5