Logs Quiz

Expand log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Expand $\log\left(\frac{x}{y}\right)$  

• logx+logy

• xlogy

• log(x-y)

• logx-logy

Expand log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx

What is the value of x in 
log₂(x + 5) = 3?

• 3
• 4
• 5
• 6

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36
• log₆ 36 = 2
• ln 36 = 2
• 6³⁶ = 2

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Solve  $\log_3\left(2x-7\right)=4$  

• x=41

• x=42

• x=43

• x=44

Tags

CCSS.HSF.BF.B.5

log₃(4x + 8) - 7 = -3

Next step?

• Add 7 to both sides.

• 3^-3 = 4x + 8

• 4x + 8 = 10

• 4x + 1 = -3

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log(x+6) = 1

• 4
• 4.222
• -5
• -9.550

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