12 Answered Questions for the topic Natural Logarithmic And Exponential Functions

Natural Logarithmic And Exponential Functions Logarithmic Equation

04/01/18

When evaluating exponential equations using logarithms, why do we need to isolate the variable first?

For example,   3e^(2x)=1821   The correct solution would be,   1. Divide 3 on each side, thus         e^(2x)=607 2. Take the natural log on both sides:          lne^(2x)=ln607 3. Eliminate... more
Natural Logarithmic And Exponential Functions Logarithms

10/18/17

In 1980, the population of blue whales in the southern hemisphere was thought to number 4500. The population N(t) has been decreasing according to the formula

In 1980, the population of blue whales in the southern hemisphere was thought to number 4500. The population N(t) has been decreasing according to the formula N(t) = 4500e−0.1345t, where t is in... more
Natural Logarithmic And Exponential Functions

10/18/17

The 1980 population of the United States was approximately 231 million, and the population has been growing continuously at a rate of 1.03% per year. Predict th

The 1980 population of the United States was approximately 231 million, and the population has been growing continuously at a rate of 1.03% per year. Predict the population N(t) in the year 2030 if... more
Natural Logarithmic And Exponential Functions Trigonometry

03/30/17

Using powers to solve for a variable to solve for another

The number N of bacteria in a culture is given by the model N=175e^kt where t is the time in hours. If N=420 when t=8, what is the time required for a population to double in size
Natural Logarithmic And Exponential Functions Natural Logs Time Logarithmic Equation

03/09/17

A pie cools in a 70 degree room. The pie is 300 degrees. After ten minuites the pie cools to 260 degrees

Create a formula then find the temp of the pie after 120 minuites 
Natural Logarithmic And Exponential Functions Calculus 1 Logarithmic Differentiation

11/04/16

Initially 1600 cells. After 2 hours increased to 1700 cells. Assume it is an exponential function of time. Instantaneous growth rate be 200 cells per hour?

Don't really know how to relate the terms into an equation. 
Natural Logarithmic And Exponential Functions Math Algebra Math Help

05/02/16

Use the change of base formula to write the following in terms of natural logarithms.

Log8(3)   A. ln(8/3) B. ln(3/8) C. ln(3)-3ln(2) D. 1/3ln(3)/ln(2) E. 3ln(2)/ln(3) F. None of the above
Natural Logarithmic And Exponential Functions Logarithms

05/01/16

Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thousandth....

5^x-3=3^2x  
Natural Logarithmic And Exponential Functions Natural Logs Logarithmic Equation

12/04/15

Natural Logarithms

e9-4x = 7472 We need to express the solution in terms of natural logarithms, having both the EXACT answer and the DECIMAL APPROXIMATION.Somehow got the decimal approximation, but not the exact... more
Natural Logarithmic And Exponential Functions Calculus Derivatives

11/15/15

Calculus Natural Logarithms

Find f'(x) given f(x) = ln(√(2x+9)(9x-3)). Note*both functions are under the square root. I believe the problem needs to be set up like this = ln(2x+9)1/2(9x-3)1/2 and then = ln(2x+9)1/2 +... more
Natural Logarithmic And Exponential Functions Calculus

11/14/15

natural logarithms

Let f(x) = ln(ln(x)). Find f' (e4)
Natural Logarithmic And Exponential Functions Pre Calculus

09/08/14

A product costs $429 Today. Write an expression for the cost is t days if the price is reduced at the end of each day by: a. $6 a day b. 4.5% a day

Natural Logarithmic and Exponential Functions.

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