1. Chapter 9 Review

2. State the inverse of the function.
h-1(x)=ex/7

3. Simplify and give the exact value.-7

4. Simplify and give the exact value.
1/(4b)

5. Rewrite the following equation as a linear equation in (x, log R).
log R = x

6. Evaluate the expression.
Let log76 = a and log73 = b .
Evaluate the expression.
a+3b

7. Evaluate the expression.
Let log76 = a and log73 = b .
Evaluate the expression. 3a

8. Evaluate the expression.
Let log106 = c and log103 = d .
Evaluate the expression.
2+d

9. State the inverse of the function.
d-1(x)=x9/4

10. A certain substance has a half-life of 18 hours
A certain substance has a half-life of 18 hours. Let A be the original amount of the substance, and L be the amount left after h hours. How long will it take for 10 percent of the substance to be remaining?
t=59.8 hours

11. Rewrite as a single logarithm.
logbx - 1

12. Solve for y.
-0.263

13. Express the volume V of a cube as a function of its surface area.
V=(A/6)3/2

14. Find the volume of a cube with a surface area 150 square inches.

15. How long will it take an investment to triple if it earns interest at an annual rate of 3.5% compounded continuously?
t=31.4 years

16. Rewrite as a single logarithm.
ln(4a/b2)

17. Simplify and give the exact value.
1/6

18. Evaluate the expression.
Let log76 = a and log73 = b .
Evaluate the expression.
a-b

19. Solve for n.
2.576

20. State the inverse of the function.
f-1(x)=10x/10

21. Simplify without a calculator.2

22. Write an equation equivalent to the given equation using logarithms.

23. Write an equation equivalent to the given equation using exponents.
49=262144

24. Simplify and give the exact value.-4

25. Simplify and give the exact value.
1/4