Logarithms and Logarithmic Functions

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

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 log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 10³ = 1000 in logarithmic form.

• log ₁₀₀₀ 3 = 10

• log ₃ 10 = 1000

• log 3 = 1000

• log 1000 = 3

Tags

CCSS.HSF.BF.B.5

Evaluate: log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

Tags

CCSS.HSF.BF.B.5

Evaluate: log ₂ 16 = x

• 3

• 2

• 4

• 5

Tags

CCSS.HSF.BF.B.5

Simplify: e^ln7

• log_e7

• 7

• ln7

• e⁷

Tags

CCSS.HSF.BF.B.5

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Write an exponential function in the form  $y=ab^{x\ }$  whose graph passes through (1, 8) and (3, 32).

•  $y=2\left(4\right)^{x\ }$  

•  $y=4\left(2\right)^x$  

•  $y=4\left(\frac{1}{2}\right)^{\ x}$  

•  $y=2\left(\frac{1}{4}\right)^{x\ }$  

Tags

CCSS.HSF.LE.A.2

Write an exponential function in the form  $y=ab^{x\ }$  whose graph passes through (1, 1) and (4, 8).

•  $y=2^{x\ }$  

•  $y=2\left(2\right)^{x\ }$  

•  $y=2\left(\frac{1}{2}\right)^{x\ }$  

•  $y=\frac{1}{2}\left(2\right)^{x\ }$  

Tags

CCSS.HSF.LE.A.2