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Use substitution to find an exponential function, y= a*b^x  that passes through (2, 16) and (5, 1.024).

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anyone up for it?

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How do you simplify this?

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Be sure to look at the 3.2.1 homework Solving with e and ln.  

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Be sure to look at the 3.2.1 homework Solving with e and ln.  

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How would you solve this? They are asking you to find the exponential function containing the two points.

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How do you solve this?

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Find a formula for an exponential function passing through the two points (0,6) , (3,750)

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The latest rare disease has entered your classroom of 30. The students affected by the disease is modeled by the logistic function P(t)= 150/5+25e^-0.45t
P(t) represents number of stundets that understand exponential functions and t is time in days
How many days will it take for 24 students to understand exponential functions ?

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Solve the equation analytically using log properties.

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A house is purchased for $200,000 and its value appreciates by 3.75% per year.

- Write an exponential model: P ( t ) = a ⋅ b t,   P(t) = 200000(1.0375)^t

- How much is the house worth, to the nearest dollar, in 10 years?

- In how many years will the house be worth $375,000?

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A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a radioactive substance. After 40 hours, 75 mg of the substance remains. How many milligrams will remain after 60 hours?

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The new iPhone 3.14 is being sold at the UT Math Department. The original price ia $1200 (day 0) but they are going to decrease the price of the phone by x percent each day. You decided to wait until the price dropped to $50.14 on the 16th day to purchase yours. What was the daily percent decrease that the UT Math Department set for the iPhone 3.14?

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In Exploration 3.1 you found the area under the curve f(t) = 1/t between 1 and 3. What was the approximate area that you came up with?

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If you start with 85 milligrams of Chromium 51, used to track red blood cells, which as a half- life of 27.7 days.
How long will it take for 90 % of the material to decay?

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Kevin opened a savings account with Texas National Bank.  His account has an APR of 1.75% compounded quarterly.  If Kevin opens his account with $2500, how long will it take for the account to earn $7500?

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Using substitution to find an exponential function, y=a*b^x that passes through (2,18) and (5, 60.75).

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The half-life of caffeine in a healthy adult is 5.7 hours. Jeremiah drinks 16 ounces of caffeinated coffee in the morning. How long will it take for only 40% of the caffine to remain in his body?

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Which exponential property supports the logarithmic property shown below?

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#10) If f(x) is an exponential function containing the points (-1,0.4) and (1,10), what is the value of f(4)?

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How is the simplification of log2(x)+4 = log2(16x)?

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#8) If f(x) is an exponential function containing the points (0,2000) and (2,20), what is the value of f(6)

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if you start with 85 milligrams of Chromium 51, used to track red blood cells, which has half- life of 27.7 days. How long will it take for 90% of material to decay.

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QUIZ 3.0 Review Exponents and Logarithms 

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QUIZ 3.0 Review Exponents and Logarithms 

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Solve and completely simplify the equation.
14) ln x^3 − ln x^6 + ln x^4 = 2

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I had quite a bit of trouble using substitution to figure out the formula for the two points. I think I just need a refresher.

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Quiz 3.3-3.4
Question 4, I was confused on the difference between add-product and product-add

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HW 3.2.1 Solving Equations Using e and ln

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HW 3.2.1 Solving Equations Using e and ln

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Solve the equation using the property that the natural base and the natural log are inverse. Completely simplify the answer.

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Teri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long will it take for Teri's account to earn $5000?

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find an exponential passing through the points, (0,6), (3, 750).
now gonna lie I forgot how to do this one.

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I tried the whole finding slope, then using point-slope formula, then using the y-inter, but I can't get a pretty number and it doesn't specify how to put it in so I assume my answers are wrong.

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Quiz 3.0: Exponent and Logarithm Properties (Q#13)

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Quiz 3.0: Exponent and Logarithm Properties (Q#13)

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Condense