Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 616607: A painting contractor purchased 24 gallons of paint for the interior and exterior of a house. If he paid $18 per gallon for the interior paint and $22 per gallon for the exterior paint, the amount he paid is y=18x+22(24-x), where y represents the amount paid and x represents the number of gallons of interior paint.
a. Find the inverse function
b. What does each variable of the inverse function represent?
c. Use the inverse function to find the number of gallons of interior paint if he paid a total of $488 for the 24 gallons of paint.
Any help is appreciated as I have been having trouble with logarithmic functions. Thank you!
Click here to see answer by solver91311(24713)   |
Question 617380: We are supposed to graph f(x)=3^x+1
So its supposed to be 3 to the x+1 power as the x+1 is small. I'm just having a hard time trying to do the graph...my mind does not think in logarithmic and exponential terms. If you are able to help, it would be greatly appreciated.
Click here to see answer by jim_thompson5910(35256) |
Question 617384: We are supposed to solve the equation 4^2x-1=32^x+2.
So its supposed to be 4 to the 2x-1 power equals 32 to the x+2 power. I'm just having a hard time trying to figure this out. my mind does not think in logarithmic and exponential terms. Any help is greatly appreciated. Thank you for your time.
Click here to see answer by jim_thompson5910(35256) |
Question 617383: Write the expression as a single logarithm and leave the answer in simplest form with negative or fractional exponents.
5 log(base of a)b+2 log(base of a)c-4 log(base of a)d-3 log(base of a)e.
I don't even know where to start on this. Im taking an online math class and its so hard trying to understand logarithmic equations. If you are able to help me, I would be very grateful. Thank you for your time.
Click here to see answer by scott8148(6628)  |
Question 617944: Please help solve the problem.
The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model A = 4800e0.055t. How much did you initially invest in the account?
Click here to see answer by Theo(13342)  |
Question 617969: Please help solve the problem.
The logistic growth function f(t) = 440/1=6.3e-0.28t describes the population of a species of butterflies after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain?
Click here to see answer by Theo(13342) |
Question 617971: Solve the problem.
The logistic growth function f(t) = 400/1+9.0e-0.22t describes the population of a species of butterflies after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 12 months?
Click here to see answer by Theo(13342) |
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