Exponential Functions Test Review

2. Which expression is equivalent to log₅9?

• 
  

  $\frac{\log5}{\log9}$

• $\frac{\log9}{\log5}$

• $\log\left(\frac{5}{9}\right)$

• $\log\left(\frac{9}{5}\right)$

Evaluate the logarithm using the change of base rule.

 $\log_56$  

•  $\frac{\log6}{\log5}$  

•  $\log\left(\frac{6}{5}\right)$  

•  $\log6\ -\log5$  

•  $\log6+\log5$  

Given the equation

 $a\ \cdot\ b^c\ =\ d$  Solve for c.

•  $c=a\ \log_bd$  

•  $c=\log_b\ \frac{d}{a}$  

•  $c=\log_bd-a$  

•  $c=\log_bad$  

Evaulate.

 $5^{2x}=\ 4$  

•  $\log_58\ =x$  

•  $\frac{\log_45}{2}=x$  

•  $\frac{\log_54}{2}=x$  

•  $\log_5\ \frac{4}{2}=x$  

1. Find the Average Rate of Change of f(x) on the interval [1,2].

f(x)=2(3)^x

• 6

• 12

• 9

•  $\frac{9}{12}$  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which transformation has on function:

 $f\left(x\right)=4^x+3$  

• vertical shift

• horizontal shift

• compression 

• reflection

Tags

CCSS.HSF.BF.B.3

Which transformation has on function:

 

 $f\left(x\right)=4^{x-3}$  

• verical shift

• horizontal shift 

• stretch

• reflection

Tags

CCSS.HSF.BF.B.3

Does this function have a y-intercept if so what is it ?

f(x)=3(2)^x

• NO

• YES, (0,3)

• YES, (3,0)

• YES(0,2)

Tags

CCSS.HSF-IF.C.7E

log₂32=3x

• 5/3

• 3/5

• 5

• 3

Tags

CCSS.HSF.BF.B.5

Find the time required for an investment of $1000 to grow to $5000 at an interest rate of 8% per year compounded monthly. (round to nearest year)

• 1 year
• 242 years
• 20 years
• 13 years