## More Questions on This Topic :

Question 1. log2536= ?
1.    2log256
2.    12 log536
3.    log56
4.    All of these
: D

Let y =log2536 =loge36loge25=loge62loge52=2loge62loge5=loge6loge5 = log56 log2536 can be written as, log5262=2log526
or 12log562

Question 2. 3+12x42(4x+1)5 Which of the following best describes the solution to the inequality shown above?
1.    x≤−137
2.    x≥−137
3.    x≤−14
4.    x≥−14
: D

3+12x42(4x+1)5
(3+12x)×52(4x+1)×4
15+60x32x+8
60x32x815
28x7
x728
x14

Question 3. If the system of inequalities y2x+1 and y>12x1 is graphed in the xy-plane above, which quadrant contains no solutions to the system?
Question 4. Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs$10. Maria wants to spend no more than $280 for the rental and the course. If the boat rental is available only for a whole number of hours, the maximum number of hours for which Maria can rent the boat is ___ : Let n be the number of hours for which Maria rents the boat. Given that rental cost is$60 per hour. Also she has to pay $10 for a water safety course. Hence, the total cost is 60n + 10 . Given that she will spend a maximum of$280. Hence,