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

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 ?

100

Solve: 8^(2x)=8^(x+7)

What is x=7?

100

Solve: log x = 3

What is 1000?

200

Write the equation log (base 3) 729 = 6 in exponential form.

What is 3^6=729 ?

200

The simplified answer of (x^{3})^{4} / (x^{2}x^{4}) is this

What is x^{6} ?

200

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?

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

Simplify ln e ^(3x)

What is 3x?

300

Allie deposits $100 in a bank that receives an interest rate of 7% compounded monthly. How much money will you have after 10 years?

What is $200.97?

300

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

What is x=4?

300

Solve: ln x = 4 Round your answer to three significant figures.

What is x= 54.6 ?

400

What is the asymptote of the graph of f(x) = log(x - 1) ?

What is x=1 ?

400

The asymptote of y = 2^x - 1 is this.

What is y = -1?

400

If there are initially 3000 bacteria in a culture, and the number of bacteria increases by 25% each hour, how many bacteria will there be in 5 hours? Round to the nearest whole number.

What is 9,155 bacteria?

400

Solve: 3e^(3 - x)= 15 Round your answer to two decimal places. - Calculator

What is x= 1.39 ?

400

Solve: 3 ln x - 7 = 4 Round your answer to three significant figures.

What is x= 39.1 ?

500

What is the asymptote of the graph of
f(x)= log(x + 2) -1 ?

What is x= -2 ?

500

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

What is decreasing and yes, a function?

500

If there are initially 3000 bacteria in a culture, and the number of bacteria increases by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?

What is 3 hours?

500

Solve: 10^(2x+1) + 2 = 4 Round your answer to two decimal places. - calculator

What is x = -0.35 ?

500

Solve: log (base 4) x^{2} = 2

What is x=4 and x = -4 ?

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