Exponential and Logarithmic Functions Test

Solve for n:

2³ⁿ = 4

• 2

• 3

• $\frac{2}{3}$

• 4

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

• x = 3
• x = 2
• x = -1
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:  $6\log_2\left(x-2\right)=18$  

•  $\frac{13}{6}$  

•  $10$  

•  $\frac{14641}{2}$  

•  $\frac{14641}{10}$  

What type of function is $f\left(x\right)=2\left(\frac{1}{7}\right)^x$  ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

What is the y-intercept of the function $f\left(x\right)=3\left(4\right)^x-2$  ?

• (0,-2)

• (0.3)

• (0,1)

• (0,4)

How are exponential and logarithmic functions related?

• Opposites
• Inverses
• Cousins
• Reciprocals

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

Condense to a single logarithm: $\log_43+\log_45$  

•  $\log_4\ \frac{3}{5}$  

•  $\log_415$  

•  $\log_4\frac{3}{2}$  

•  $\log_4\ \frac{5}{3}$  

Use multiple log properties to write as a single log:

3log₂x - log₂y + log₂z

• $\log_2\ \frac{x}{yz}$

• $\log_2\ \frac{x^3}{yz}$

• $\log_2\ \frac{x^3z}{y}$

• $\log_2\ \frac{xz}{y}$

What is the asymptote of this function:

f(x) = 2^x-1 + 3

• x = - 3

• x = 3

• y = 3

• y = - 3

What is the domain and range of
f(x) = log ₃ (x + 1)?

• D: (− ∞, ∞) R: (−1, ∞)
• D: (− ∞, ∞) R: (1, ∞)
• D: (−1, ∞) R: (− ∞, ∞)
• D: (1, ∞) R: (− ∞, ∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5