Algebra 2 Exponential and Logarithmic Quiz

Solve.

2(16^x+6) - 8 = 35

• -4.67

• -4.89

• -2.93

• -2.95

Solve:

log(x) + log(x+3) = 1

• 5

• -2

• -5

• 2

Is this exponential growth or decay?

• Growth
• Decay

Write in logarithmic form.
5² = 25

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

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

What is the horizontal asymptote for the graph of 
f(x)=-2(3)^x+4-8 ?

• y=8
• y=-8
• x=-8
• x=-4

Tags

CCSS.HSF-IF.C.7D

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: All Real Numbers
  Range: y>0
• Domain: All Real Numbers
  Range: y>1
• Domain: −2<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Solve: 9^8-x = 27^x-3

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z