Solving Log/Exponential Equations

Solve by converting to the exponential form:

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

Tags

CCSS.HSF.BF.B.5

Solve $2^{x-3}=5$  
Round your answer to the nearest 100th

• 2

• 5.32

• 6.76

• 7.01

Tags

CCSS.HSF.LE.A.4

Evaluate log₄1

• 1
• 0
• 4
• undefined

log(x+6) = 1

• 4
• 4.222
• -5
• -9.550

Which of the following is NOT true based on the equation  $3^x=9$  ?

• x = 2

• x =  $\log_39$  

• x =  $\frac{\log_39}{\log_33}$  

• x = 3

Tags

CCSS.HSF.BF.B.5

 $\log_2\left(8x\right)=7$  

Solve for x.

• x=32

• x=8

•  $x=\frac{1}{16}$  

• x=16

Tags

CCSS.HSF.BF.B.5

 $2\left(5^x\right)=500$  
Solve for x. 

Hint: start by getting rid of 2.

• 3.43

• 1.75

• 2.79

• 4

 $\log_3\left(9x\right)=3$  

Solve for x.

• x=3

• x=1

• x=9

• x=27

Tags

CCSS.HSF.BF.B.5

 $2x^{\frac{2}{3}}=50$  

• x=25

•  $x=\frac{1}{25}$  

• x=125

•  $x=\frac{1}{125}$  

 $\log_5\left(3x+5\right)=3$  
Solve for x.

• 120

• 30

• 40

• 81

Tags

CCSS.HSF.BF.B.5