Precalculus Exponentials and Logs Quiz

Which of the following is the initial value of an exponential equation in the form y=a*b^x

• a

• b

• x

• a*b

Exponentials are a way to represent repeated _________

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

 $\log\left(\frac{m^3}{n}\right)$  

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Which will grow the fastest as $x\rightarrow\infty$  ?

• An exponential growth function

• A cubic function

• A quadratic Function

• A linear function

Logarithmic functions are the __________ of exponential functions

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

What is the equation that represents the exponential function in the image below?

• y=3(½)^x
• y=3(2)^x
• y=(2)^x
• y=2(3)^x

Which function best describes the following graph?

• y = Log₂ X

• 2^x = y

• y = 1/(2x)

• (1/2)^x = y

What is the correct transformed equation for the graph?

• y = log(x - 4)

• y = log(x) - 4

• y = log(x + 4)

• y = log(x) + 4