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e and ln
1:1 Property
Expand/Condense Logs
Solving Log Equations
100

The city and state where Ms. Tokarz was born

What is Milwaukee, Wisconsin?

100

This value this expression is equal to:

ln(1/root[4]e)

What is 

-1/4?

100

The value of x in this equation:

3^(x-2)=3^(2x+5)

What is x = -7?

100

The expansion of this log expression:

log(ab^3)

What is 

log(a)+3log(b)?

100

The value(s) of x in the equation:

log_3(x^2+4)=log_3(5x)

What are x = 1 and x = 4 ?

200

The year Ms. Tokarz started working at Pacific Ridge School

What is 2020?

200

The amount of money that was invested in an account that pays 4.25% annual interest compounded continuously if its value after 10 years is $5,000.

What is $3,268.85?

200

Find the value of x in this equation:

8^(-6x+14)=64^(-x-5)

What is x = 6?

200

The expansion of the log expression:

log(root[3](xy^2)/z)

What is

1/3log(x)+2/3log(y)-log(z)?

200

The value of x in the equation:

log_4(2x+4)=3

What is x = 30?

300

The field Ms. Tokarz has worked in besides education

What is business?

300

It takes this many hours for the population of bacteria present in a culture at time t (hours) to equal 1500.

The population is given by the function:

N = 1000e^(0.01t)

What is 40.55 hours?

300

What this log expression can be evaluated as:

log_(1/32)(16)

What is 

-4/5?

300

This log expression when condensed as a single log:

log(a)-(5log(b)-2log(c))

What is 

log((ac^2)/b^5)?

300

The value of b in this equation:

log_b(25/9)= 2/3

What is

125/27?

400

Ms. Tokarz's favorite thing about working at PRS

What are the students?

400

The exact value of x in this equation:

(2/3)ln(x-4)=6

What is 

x=e^9+4?

400

The value of x in this equation:

(2/3)^(-7x)=(4/9)^(1/2x-5/2)

What is 

x = 5/8?

400

The log expression when condensed as a single log:

1/3log(a)-(1/4log(b)+7log(c))

What is 

log(root[3]a/(root[4](b)c^7))

400

The value of x in this equation expressed as a fraction in lowest terms:

log_3(x)-log_3(x+2)=2

What is 

x = -9/4?

500

The state where Ms. Tokarz once ran a marathon

What is Alaska?

500

The exact value of x in the equation:

(5/(3-e^(2x)))=4

What is 

x = ln(7/4)/2?

500

The value of x in this equation:

log_8(x)+log_8(x+6)=log_8(5x+12)

What is 

x=3?

500

A variable expression for log(18) if log(8)=a and log(9)=b

What is 

1/3a+b?

500

The value of x equals in this equation:

log_4(x+1) + log_4(x-5)=2

What is x = 7?

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