+A2 8.3 Logarithms

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

In the general log function  y = alog_b(x - h) + k, what letter tells us if the function has moved up or down?

• a

• b

• h

• k

In the general log function  y = alog_b(x - h) + k, what letter tells us if the function has moved left or right?

• a

• b

• h

• k

what transformation? y = log(x+3)

• left 3
• right 3
• up 3
• down 3

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate the following logarithm by converting to exponential form.
log_⅕125 = x

• x = 3
• x = -3
• x = 25
• x = 5

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

The common logarithm has what base?

• 10
• 0
• e
• -e