Exponential/log Functions

Write an exponential equation that shows

an increase of 22% each day from an initial value of 347.

• $f\left(x\right)=347\left(22\right)^x$

• $f\left(x\right)=347\left(1.22\right)^x$

• $f\left(x\right)=347\left(.22\right)^x$

• $f\left(x\right)=22\left(347\right)^x$

3. A corpse has 300,000 living cells in it. The cells are decreasing exponentially by 31% every minute. Write a function for the number of cells. How many cells will there be in 10 minutes?

• 7,338 cells

• 4,465,131 cells

• 2 cells

• 207,000

4. An actor made 400,000 for her first movie.

She made 500,00 for her 2nd movie. Write an exponential equation for her salary if it grows at the same rate for each movie.

• $f\left(x\right)=400000\left(1.25\right)^x$

• $f\left(x\right)=400000\left(.25\right)^x$

• $f\left(x\right)=400000\left(100000\right)^x$

• $f\left(x\right)=500000\left(100000\right)^x$

Evaluate  $e^2-2e-5$  Round to 2 decimal places (if needed).

• -1.41

• -3.05

• -3.04

• -5

Write an equation given the following transformations of an exponential parent function with base e: down 4, Reflect across y-axis, horizontal stretch by factor 1/2, right 10.

•  $f\left(x\right)=e^{-\left(2x-10\right)}-4$  

•  $f\left(x\right)=-e^{2x-10}-4$  

•  $f\left(x\right)=-e^{2x+10}-4$  

•  $f\left(x\right)=e^{-2x+10}-4$  

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Rewrite in exponential form: 
2=log₉x

• 9^x=2
• 2^x=9
• 2⁹=x
• 9²=x

Tags

CCSS.HSF.BF.B.5

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Expand log(x²/y³).  Choose the best answer.

• log x²+log y³
• 2 log x + 3 log y
• log x + log y
• 2log x² +3 logy³

Tags

CCSS.HSF.LE.A.4

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5