Calculus 1 β MAT 130
1. 41βπ₯ = 1
32 2. 252π₯ = 5π₯2β12
3. (1
4)5π₯
= 326π₯β3 4. ( 1
27)β3π₯
= 812π₯β4
5. 1281β2π₯ = 16β3π₯ 6. 4π₯2
= 2π₯
7. 49π₯β2 = 7β7 8. 2π₯+1 = 51β2π₯
9. log5(π₯2 + π₯ + 13) = 2 10. β2log4 π₯ = log4 9
11. log π₯ + log(π₯ + 15) = 2 12. ln(π₯ + 1) β ln(3) = ln(3π₯ β 7)
1. 41βπ₯ = 1
32 2. 252π₯ = 5π₯2β12
3. (1
4)5π₯
= 326π₯β3 4. ( 1
27)β3π₯
= 812π₯β4
5. 1281β2π₯ = 16β3π₯ 6. 4π₯2
= 2π₯
7. 49π₯β2 = 7β7 8. 2π₯+1 = 51β2π₯
9. log5(π₯2 + π₯ + 13) = 2 10. β2log4 π₯ = log4 9
11. log π₯ + log(π₯ + 15) = 2 12. ln(π₯ + 1) β ln(3) = ln(3π₯ β 7)
13. 3log2 π₯ = β log2 27 14. log(7π₯ β 12) = 2log π₯
15. log2 β2π₯ β 7
3 = 3 16. log π₯ + log(π₯ + 15) = 2
17. 17π₯ = 33 18. 3.51βπ₯ = 56.7
19. Mason placed $25,000 into his credit union account paying 7% compounded quarterly.
How much will be in Masonβs account in 6 years? How much interest will he earn?
20. Assuming continuous compounding, what will it cost to buy a $10 item in 5 years at an
inflation rate 4%?
