Introducing Logarithmic Functions

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

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

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Expand

• 4log₄u - 16log₄v
• 4logu + 16logv
• 4logu - 4logv
• 4logu - 16logv

• A
• B
• C
• D

Condense

• log₈x³y⁹
• log₈(x³/y⁹)

What is the domain and range of
f(x) = log ₃ (x + 1)?

• D: (− ∞, ∞) R: (−1, ∞)
• D: (− ∞, ∞) R: (1, ∞)
• D: (−1, ∞) R: (− ∞, ∞)
• D: (1, ∞) R: (− ∞, ∞)

What is the asymptote of this function:
 f(x) = 2^x-1 + 3

• x = - 3
• x = 3
• 3
• - 3

Tags

CCSS.HSF-IF.C.7E

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0
• 1
• 2
• 3

To find log₂9 you would....

• Set 2 as your base and break your head trying to find what power will make it 9
• Simply put log9/log2 in your calculator
• Simply put ln2/ln9 into your calculator
• Simply put log(9/2) into your calculator

Tags

CCSS.HSF.BF.B.5