Explain why the equation

Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places. 

Solve the equation. Write the solution set with the exact values given in terms of natural or common logarithms. Also give approximate solutions to 4 decimal places, if necessary.

The half-life of carbon-14 is 5730 yr.  Find:  a) the decay rate of carbon-14.    b) if 20 g of carbon-14 is present now, how much will be left in 250 years? 

Isla is investing $1,500 now in a retirement account that has a rate of 5.5% compounded continuously.  Isla will not touch that money until retirement in 30 years.  How much money will be in the account at that time? 

Solve the equation.  Write the solution set with exact value answer(s). 

Determine whether the two functions are inverses. 

Use Descartes Rule of Signs to determine the number of possible positive and negative real zeros of the polynomial. 

Find all the zeros of the polynomial. Show your work on your submission paper. 

Graph the function on your submission paper.  Label all asymptotes and at least 3 graphed points.