IB DP AA: Logarithm Practice

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Which of the following is equivalent to:

 $\log_c\left(\frac{a^3}{b}\right)$  

•  $\frac{3\log_ca}{\log_cb}$  

•  $\left(\log_ca-\log_cb\right)^3$  

•  $3\log_ca-\log_cb$  

•  $\left(\frac{\log_ca}{\log_cb}\right)^3$  

Express as a single logarithm:

 $3+\log_a30-\log_a5$  

•  $\log_a18$  

•  $\log_a\left(6a^3\right)$  

•  $\log_a\left(25a^3\right)$  

•  $\log_a\left(\frac{33}{5}\right)$  

Evaluate

 $\log_714$  

• 2

•  $\frac{1}{2}$  

• 1.36

• 0.74