Exponential and Logarithmic Functions Review

 Convert to a logarithmic equation.
 $y^2=4$  

•  $\log_42=y$  

•  $\log_y4=2$  

•  $\log_4y=2$  

•  $\log_24=y$  

Tags

CCSS.HSF.BF.B.5

Convert to an exponential equation.
 $\log_8512=3$  

•  $3^8=512$  

•  $512^3=8$  

•  $8^{512}=3$  

•  $8^3=512$  

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

 $6^3\ =\ 216$  

Rewrite in logarithmic form.

•  $\log_6216=3$  

•  $\frac{196}{14}=\ 2$  

•  $\log_3216\ =6$  

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₄2

• -¹/₂

• -2

• 2

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the expression.
 $\log_3\left(81\right)$  

• 4

• 27

• 78

• 5

Tags

CCSS.HSF.BF.B.5

Evaluate log₁₂₅ 25

• ²/₃

• ³/₂

• ¹/₆

• ¹/₅

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate:

log₃(1/9)

• 1/2

• 2

• -2

• 3

Tags

CCSS.HSF.BF.B.5

Solve:

8^x = 512

• x = 2

• x = 3

• x = 8

• x = 64

Tags

CCSS.HSF.LE.A.4

Solve:

12^x = 400

• x = 2.41

• x = 12

• x = 33.333

• x = 5.99

Tags

CCSS.HSF.LE.A.4