Log Properties Quiz

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

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x
• 3log 4 + 3log x
• 3log 4 + log x
• log 12 + log x

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Rewrite in exponential form: 
2=log₉x

• 9^x=2
• 2^x=9
• 2⁹=x
• 9²=x

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₄(¹/₆₄)

• 3

• -¹/₃

• -3

• ¹/₃

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₂₇3

• ¹/₃

• -3

• -¹/₂

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Expand log₆(5x³/y).

• log₆5x³-log₆y
• log₆5+log₆x³-log₆y
• log₆5+3log₆x-log₆y

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• -1

• 2

• 3

• 0

Write as a single logarithm:  $3\log_3x\ +\ 2\log_3y$  

•  $\log_{3\ }x^3+\log_3\ y^2$  

•  $\log_3\ x^3y^3$  

•  $6\log_3\ xy$  

•  $\log_3\ x^3y^2$