Logarithms Review

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

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

Rewrite x^p = m in logarithmic form.

• log_xp = m

• log_mx = p

• log_xm = p

• log_pm = x

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate the following logarithm:
 $\log_416$  

• 1

• -2

• 2

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:
 $\log_327$  

• 3

• 2

• 9

•  $\frac{1}{3}$  

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:
 $\log_55$  

• 1

• 0

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm: 
 $\log_{49}7$  

• ¹/₇

• -2

• 2

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Expand $\log(x^7)$  

•  $\log(7x)$  

•  $\log7+\log x$  

•  $x\log7$  

•  $7\log x$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand:

 $\log\left(\frac{m^3}{n}\right)$  

•  $\log m-\log3-\log n$  

•  $3\log m+\log n$  

•  $3\log m-\log n$  

•  $3\log(m-n)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8