Review for Logs & Exponentials Test

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

Rewrite as an exponential:  $\log_93=\frac{1}{2}$  

•  $9^{\frac{1}{2}}=3$  

•  $3^{\frac{1}{2}}=9$  

•  $9^3=\frac{1}{2}$  

•  $\left(\frac{1}{2}\right)^9=3$  

Tags

CCSS.HSF.BF.B.5

Rewrite as a log: y = 7^x

• log₇(x) = y

• log_y(7) = x

• log_x(y) = 7

• log₇(y) = x

Tags

CCSS.HSF.BF.B.5

What is the base for the following log:

y = log (x)

• 1

• 0

• 10

• 2

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:  $\log_7\left(\frac{1}{7}\right)=x$  

• x = -1

• x = 1

• x = 0

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Find x: log₅(x) = 0

• No Solution

• x = 0

• x = 5

• x = 1

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4

• ¹/₄

• -4

• -¹/₄

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate log₄1.

• 0

• 1

• 4

• DNE