PLTL
Bonus
Logarithmic Properties
Exponential and Logarithmic Equations
Exponential and Logarithmic Models
100

Give me all the details of my office hours:

-Day 

-Time

-Location

Tuesday 

1:00-3:00 PM

BMSLC 2.124

100

What is the implied base of a common log?

What is the implied base of a natural log?

10

e

100

Which expression is equivalent to log 73?

3 log 7

100

Find the value of x which satisfies the following equation.

log5(4x-15)=2

10

100

A state park had a population of 330 rabbits. The population grew, with continuous compounding, at a rate of 15% per year for 12 years. 

How many rabbits were in the park after the 12 years?

Round your answer down to the nearest whole number, and do not include units in your answer

1,996

200

What does PLTL stand for?

Peer-Lead Team Learning

200

What is the quotient of x3+9x2-11x-13 divided by x+5?

x2+4x-31

200

Which expression is an expanded form of log((5y+1)/(y+4))?

log(5y+1) - log(y+4)

200

Which is the solution to 49x=4x+2?

1/4

200

A bank account is growing with continuous compounding at a fixed annual interest rate. The balance of the bank account doubles in 6 years. Which formula could be used to find the interest rate?

r=(ln(2))/6

300

What is the name of my supervisor?

Hector Leal


300

Given the function h(y)= cube root of (3y-8), solve for h(y)=1

y=3

300

Which expression is an expanded form of ln[(m/8)(p-9)]?

ln(m)-ln(8)+ln(p-9)

300

Determine the value of x which satisfies the following equation.

9-2x+4=81-2x+4

2

300

The population of a hornet nest experienced growth at a 20% monthly rate, compounded continuously. At the end of a 5 month period, the population reached a size of 815 hornets. 

Assuming that every month has 30 days, how many hornets were in the nest at the beginning of the 5 months according to the exponential growth function? Round your answer to the nearest whole number, and do not include units.

300

400

Tell me the name of at least one of my mentors

-Grecia Gonzalez

-Teresa Padilla

-Summer Sosa

400

Given f(x)=x-4 and g(x)=-5x-3. Find g(f(1))

12

400

Simplify the following expression as a single logarithm.

3 log 4 - 5 log 2 + log 6

log 12

400

Solve 5x-3=7x

x=(3 ln 5)/(ln 5 - ln 7)

400

A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the growth rate continues, how many years will it take for the size of the population to reach 150% of its current size according to the exponential growth function? Round your answer up to the nearest whole number, and do not include units.

21

500

How many roles are there? Which ones are they?

4

-Manager

-Reporter

-Presenter

-Processor

500

Which kind of multiplicity bounces and which crosses?

Even bounces and odd crosses

500

Rewrite log27 as a base "e" logarithm

(ln 7)/ (ln 2)

500

Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.

59.9%

500

A freezer has a temperature of 14 degrees Fahrenheit. An ice-cube tray full of water is placed in the freezer. The function f(t)=Ce(-kt)+14 represents the situation, where t is time in minutes, is a constant, and k=0.045. 

After 15 minutes the water has a temperature of 40 degrees. What was the initial temperature of the water? Round your answer to the nearest degree, and do not include units.

65


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