1-Forx=6andy=4, evaluate each of the following.Round your answers to three decimal places.

a.log(x^y)=

b.(logx)^y=

2- Find all numbersxthat satisfy the given equation. log5(x+5)log5(x4)=3

3- Suppose the tuition per semester at Luxim University is$800plus$750 for each class unit taken.

a. Find a linear functiontsuch thatt(u)is the tuition in dollars for a semester in which a student is takingu units.

b. Find a linear functiongsuch thatg(s)is the total tuition for a student who takesssemesters to accumulate the120units needed to graduate.

4- Suppose your cell phone company offers two calling plans. The pay-per-call plan charges$12 per month plus4cents for each minute. The unlimited-calling plan charges a flat rate of$28per month for unlimited calls.

a.What is your monthly cost in dollars for making700 minutes per month of calls on the pay-per-call plan?

b. Find an equation that gives the costcin dollars for makingm minutes of phone calls per month on the pay-per-call plan.

c. How many minutes per month must you use for the unlimited-calling plan to become cheaper?

If more than-----minutes per month are used, then the unlimited-calling plan is cheaper.