Logs

Rewrite as an exponential: log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite as an exponential:  $\log_7\left(\frac{1}{49}\right)=-2$  

•  $7^{\frac{1}{49}}=-2$  

•  $\left(\frac{1}{49}\right)^{-2}=7$  

•  $7^{-2}=\frac{1}{49}$  

•  $\left(-2\right)^7=\frac{1}{49}$  

Tags

CCSS.HSF.BF.B.5

Find x: log₂(32) = x

• x = 5

• x = 16

• x = 4

• x = 6

Tags

CCSS.HSF.BF.B.5

Find x: log₅(x) = 4

• x = 20

• x = 25

• x = 625

• x = 125

Tags

CCSS.HSF.BF.B.5

Find x: log_x(25) = 2

• x = 1

• x = 12.5

• No Solution

• x = 5

Tags

CCSS.HSF.BF.B.5

Find x:  $\log_x\left(\frac{1}{8}\right)=-3$  

• x = 2

• x = -2

• x = 2.67

• No Solution

Tags

CCSS.HSF.BF.B.5

Solve for x:
log₅(625)=x.

• 4
• 2
• 3
• 10

Tags

CCSS.HSF.BF.B.5

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Solve:
log x + 3log 2 = log  40

• 20

• 5

• -5

• 320