A2U4L10-13 laws, solve exponential, continuous compound A

Expand

 $\log_49x^2$  

•  $2\left(\log_49\ +\log_4x\right)$  
  

•  $\log_49\ +2\log_4x$  
  

•  $\log_49\ -2\log_4x$  
  

•  $2\left(\log_49\ -\log_4x\right)$  
  

Expand

 $\log_8\left(xyz^5\right)$  

• log₈x+log₈y+log₈z

• 5log₈x+5log₈y+5log₈z

• log₈xy+5log₈z

• log₈x+log₈y+5log₈z

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand the following logarithm: 

 $\log_b\left(\frac{x^2y}{z^3}\right)$  

•  $\log_b\left(2x\right)+\log_b\left(y\right)+\log_b\left(3z\right)$  
  

•  $2\log_b\left(x\right)+\log_by-3\log_bz$  
  

•  $2\log_b\left(x\right)+\log_by+3\log_bz$  

•  $2\log_b\left(x\right)-\log_by-3\log_bz$  

Condense

 $\log x+\log y+3\log z$  

• log(xyz³)

• log(xy/z³)

• log(x)+log(y)+log(z³)

• log(x³y³z³)

Condense

• logxyz³
• log(xy/z³)
• logx+logy+logz³
• logx³y³z³

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Simplify: 2log(x) + 3log(xy)

• log(x⁵y³)
• log(5xy)
• 5log(x²y)
• log(6x²y)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

What is the equation of the asymptote?

 $y=\log_5\left(x+3\right)+5$  

• x = -3

• x=5

• y= -3

• x = 3

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

Tags

CCSS.HSF-IF.C.7E

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7