Properties of Logs Assessment

Expand: log (a² * b)

• 2log(a) + log(b)

• 2log(a) + 2log(b)

• log(a) + log(b)

• 2log(a) * log(b)

Expand the following logarithm:
 $\log_2\left(\frac{6}{y}\right)$  

• log₂ 6 - log₂ y 

• log₂ y - log₂ 6 

• 2log 6 + 2log y

• log₂ 6 - y

• 6log x + 2log y

• 6 log x - 2 log y

• 9log x + 2log y

Expand the expression: log₂10x

• log₂10 + log₂x

• log10 + logx + log2

• log₂10x

• xlog₂10

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense the expression: log₄6 + log₄3

• log₄2

• log72

• log₄63

• log₄18

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand the expression:  $\log_5\left(\frac{3x}{2}\right)$  

• log₅3 - log₅x - log₅2

• log₅3 + log₅x - log₅2

• log₅2 - log₅3

• log₅3 + log₅x + log₅2

Condense: log₆x - log₆y

• log₆y - log₆x

• log₆x + log₆y

• log6 $\left(\frac{x}{y}\right)$

• log6 $\left(\frac{y}{x}\right)$

Expand: $\log\left(\frac{9}{4}\right)$  

• log9+log4

• log(9-4)

• log9-log4

• 4log9

• log (xy³)

• log (x⁶ − y³)

• log $\left(\frac{x^6}{y^3}\right)$

• log (x⁶ + y³)

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

Tags

CCSS.HSF.BF.B.5