Logs!
Exponential EQ's
Properties
Solving Exponential EQ's
Solving Log EQ's
100

Another name for a logarithm

What is an exponent?

100
Write the exponential equation 4^5= 1,024 in logarithmic form.
What is log (base 4) 1,024 = 5 ?
100

Name the exponent property:

(bm)n = bmn


What is the power property?

100

Solve: 82x = 8(x+3)

What is x = 3?

100

Solve: log x = 3

What is x = 1000?

200

What is domain of f(x) = logbx when b > 1?

What is x > 0?

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: 9(x-4) = 3(3x+2)

What is x = -10?

200

Solve: ln(5x +2) = 0

What is x = -1/5?

300

Write the equation y = log4 23 in exponential form.

What is 4y = 23?

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: e(1-5x) = e(3x+2)

What is x = -1/8?

300

Solve: log3 7. Round your answer to six decimal places.

What is x = 1.771244?

400
What is the asymptote of the graph of f(x) = log(x - 1) ?
What is x=1 ?
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: e2x-1 = 4. Find the exact solution of the equation expressed in terms of logarithms.

What is x = (ln 4 +1)/2?

400

Solve: 3 - log2 (3x - 2) = -1 Round your answer to six decimal places.

What is x= 6?

500
What is the asymptote of the graph of f(x)= log(x + 2) -1 ?
What is x= -2 ?
500
Simplify ln e ^(3x)
What is 3x?
500
Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the intensity of an earthquake with a Richter scale of 7.567 Round your answer to four decimal places.
What is 36,897,759.8570?
500

Solve: 43-6x = 9.  Round your answer to six decimal places.

What is x = 0.235896?

500

solve for x: log2(x + 6) + log2(x - 1) = 3

What is x = 2?

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