Exponential and Log Equations and Problem Solving

log₂(2) + log₂(8x) = 6

• x = 3
• x = 2
• x = 6
• x = 4

log₆(2x + 3) = 3

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

Tags

CCSS.HSF.BF.B.5

log₅ (2x - 3)² = 6

• x = 128
•  x = 64
• x = 4
• x = 14

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Use the change of base rule to rewrite this problem:

log₃64

• log(64)/log(3)

• log(3)/log(64)

Using the change of base rule, what is this logarithm equivalent to?

• A
• B
• C
• D

 $\log_5\left(\frac{1}{25}\right)=$  

• 5

• 2

• -2

• -5

Tags

CCSS.HSF.BF.B.5

 $\log_232=$  

• 2

• 3

• 4

• 5

Tags

CCSS.HSF.BF.B.5

 $\log_{ }1000$  

• 3

• 0

• 1

• 4

 $\log_3243=$  

• 4

• 5

• 6

• 7

Tags

CCSS.HSF.BF.B.5