Honors Algebra II Name:___________________________

Exponential & Logarithm Test Friday, March 7, 2014

Instructions: Show work or provide an explanation on every problem!!! No work receives no credit!!! Be

neat!! Good luck and have fun!

No calculator portion

For 1-3, use the fact that log 4 = 0.602 and log 7 = 0.845 to evaluate each. (4 points each)

1. log 1962. log 0.07

3. log 1

4

(4 points) 4. Condense to one logarithm and simplify: 2 ( log5 24−log3 4 )+0.5 log5 4

(4 points) 5. Expand completely; leave no parentheses in your final answer. log7√49x

(1 point each) 6. Evaluate.

log3 243 log1

5

125 ln e2

6log614

(6 points) 7. Solve completely & simplify: ( 12 )5−2x

=√84x+6

(6 points) 8. Graph. State the domain, range,

and asymptotes.

y=log2( x−1)

(6 points) 8. Solve. State the domain first, and check for extraneous solutions.

log4 ( x−10 )+ log4 x=2

(4 points) 9. Solve. log2 xlog2 x=4

Honors Algebra II Name:___________________________

Exponential & Logarithm Test Friday, March 7, 2014

Instructions: Show work or provide an explanation on every problem!!! No work receives no credit!!! Be

neat!! Good luck and have fun!

Calculator portion

(6 points) 1. Solve analytically. Round your FINAL answer to at least three decimal places. Condense the

exact answer (the one with logs) as far as possible. 6x+3=8

−x

For 2-4, evaluate using your calculator. Round to at least three decimal places. (1 point each).

2. log4 9

3. log 1

25

74.

log7 0.56

(4 points) 5. Solve analytically: 32x+3

x+1−4=0

6. (6 points)

7. The population of an endangered animal species is currently 510 animals and is decreasing at an annual

rate of 11%. What is the estimated number of animals in this population in 7 years? Write an equation &

answer the question. Points will not be awarded if an equation is not provided. (4 points)

8. The time required to grow a certain bacteria in a culture beginning with 100 bacteria is t=

lnB−ln100

0.212 ,

where B is the number of bacteria and t is the time in hours. How much time is required to grow a culture of

3500 bacteria? (4 points)