6.1 through 6.4 Log Exp Review

A logarithmic function is the inverse of an exponential function. (a)  

• True
• False

The inverse of an exponential function is its reflection across the x-axis.

• True

• False

Which equation is the inverse of the equation above?

• 
• 
• 
• 

How are exponentials and logarithms related?

• They're cousins
• They're inverses
• They're not related
• They're reciprocals

• Horizontal shift left 5 units

• Horizontal shift right 5 units

• Vertical shift up 5 units

• Vertical shift down 5 units

log₅25 = ?

• 2
• 5
• 125
• 10

Rewrite 3⁴ = 81 in logarithmic form.

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

4^-2 = 1/16

• log ₄ (1/16) = -2

• log _-2 (1/16) = 4

• log ₄ (-2) = 1/16

• log _1/16 (4) = -2

0.01 = 10^-2

• log _-2 0.01 = 10

• log -2 = 0.01

• log 0.01 = -2

• log _0.01 (-2) = 0.01

10⁰ = 1

• log 1 = 0

• log 0 = 1

• log ₀ 10 = 1

• log ₀ 1 = 10