Logs!
Exponential EQ's
Word Problems
Solving Exponential EQ's
Solving Log EQ's
100
Simplify the expression: log (base 2) 8
What is 3?
100
Write the exponential equation 4^5= 1,024 in logarithmic form.
What is log (base 4) 1,024 = 5 ?
100
If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, how many bacteria will there be in 5 hours? Round to the nearest whole number.
What is 9,155 bacteria?
100
Solve: 8^(2x)=8^(x+7)
What is x=7?
100

Solve: log10x = 3

What is 1000?

200
Write the equation log (base 3) 729 = 6 in exponential form.
What is 3^6=729 ?
200
Write the exponential equation 27^ (1/3) = 3 in logarithmic form.
What is log (base 27) 3 = 1/3 ?
200
If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?
What is 3 hours?
200
Solve: 25^(x-4)=5^3x+1)
What is x=-9 ?
200

log (base 3) x = 5

What is x = 243 ?

300
Write the equation log 1000 = 3 in exponential form.
What is 10^3=1000 ?
300
Write the exponential equation (1/2)^-3=8 in logarithmic form.
What is log (base 1/2) 8 = -3
300
Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 30,000,000. Round your answer to four decimal places.
What is 7.4771?
300

Solve: 4(2x)=2(x+4)

What is x = 4/3?

300

Solve: log2x = 4 

What is x = 16 ?

400

Solve the log equation and put it in exponential form log3(81)

What is 4. And 34=81

400

Is the graph y= .7^x increasing or decreasing, and is it a function?

What is decreasing and yes, a function?

400
Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 35,000,000. Round your answer to four decimal places.
What is 7.5441 ?
400

Solve: 3(3 - x)= 9(2x - 5) Round your answer to two decimal places.

What is x= 13/5 ?

400

Expand using the power rule. log2(43)

What is 3 x log2(4)

500

What happens to the exponent in the Power Rule?

What is it is multiplied by the base log

500

The product rule uses this operation to determine the resulting product.

What is addition?

500

The Quotient Rule requires that you do which 2 operations

Division and subtraction

500

What must be true about the base of two logs before they can be solved?

What is they must be the same ?

500

How many Logarithmic properties are there?

3

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