Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

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Question 178804: u+v=7
2u+v=11

Click here to see answer by HyperBrain(694) About Me 

Question 179249: I don't understand how to graph it,how do you get the function?or the domain and range?
Click here to see answer by Mathtut(3670) About Me 

Question 179204: (y^1/4)^1/5
=y^r where r the exponent of y is:

Click here to see answer by jim_thompson5910(35256) About Me 

Question 179442: Hello dear tutor,
I need help with a certain math problem today that we just learned in class, but I can only get how to do really with like an actual example from my homework, which is why I am here, trying to learn! So here is the question! Thanks so much for helping out! it means ALOT!


Which grows faster as x increases, x^3, or 3^x? Explain.

Click here to see answer by josmiceli(19441) About Me 

Question 179440: Hello dear tutor,
I need help with a certain math problem today that we just learned in class, but I can only get how to do really with like an actual example from my homework, which is why I am here, trying to learn! So here is the question! Thanks so much for helping out! it means ALOT!

Radon-222 is a gas that escapes from rocks and soil. It can accumulate in buildings and can be dangerous for people who breathe it. Radon-222 decays to polonium and eventually to lead.

a. Find the percent decrease in the amount of radon-222 each day.
b. Write an exponential decay function for th amount of a 500 mg sample of radon-222 remaining after t days.

c. How much of the radon-222 sample would remain after 14 days?

Click here to see answer by stanbon(75887) About Me 

Question 179439: Hello dear tutor,
I need help with a certain math problem today that we just learned in class, but I can only get how to do really with like an actual example from my homework, which is why I am here, trying to learn! So here is the question! Thanks so much for helping out! it means ALOT!

On federal income tax returns, self-employed people can depreciate the value of business equipment. Suppose a compter valued at $2765 depreciates at a rate of 30% per year. Estimate the number of years it will take for the computer's value to be less than $350.

Click here to see answer by stanbon(75887) About Me 

Question 179676: 12 with a power of X = 527 -how would u solve this?

Click here to see answer by Earlsdon(6294) About Me 

Question 179674: -Tessa has an antique plate valued at $75. It is expected to increase in value 8% per year.
a.) how would you write a function for the value of the plate in t years?
b.) how would you find out how much it would be worth in 10 years?
c.) how would you find out when the plate would reach a value of $200?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 180010: 1.04 to the x power equals 2
Click here to see answer by josmiceli(19441) About Me 

Question 180440: True or false: the function "f(x) =4" grows four times faster than the function "g(x) = x. explain
Click here to see answer by Mathtut(3670) About Me 

Question 180574: A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
Click here to see answer by Mathtut(3670) About Me 

Question 180573: true or false: the function "f(x)=4^x" grows four times faster than the function "g(x)=x". Explain
Click here to see answer by Mathtut(3670) About Me 

Question 180673: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed oon a retangular coordinate system where time in on the horizontal axis. Suppose that the number of homes built can be modeled by a exponential function, H=p*at, where p is the number of homes built in th efirst year recorded. If you were a homebuilder looking for work would you prefer that the value if "a" to be between 0 and 1 or larger that 1? Explain your reasoning
Click here to see answer by stanbon(75887) About Me 

Question 180674: How to solve this using logarithm?
I manage to get this using calculator and get the answer equals to '2'.
[img]http://img26.imageshack.us/img26/6596/gogorm6.png[/img]

Click here to see answer by Alan3354(69443) About Me 

Question 181046: 3.4875*45.8675
Click here to see answer by checkley77(12844) About Me 

Question 181145: solve:
square root of x-6- square root of 1/3x=0

Click here to see answer by eperette(173) About Me 

Question 181195: How can I solve
ln(4 - 6x) = -1?
Thanks so much!!!
~Jill

Click here to see answer by Alan3354(69443) About Me 

Question 181203: (1/3)^2-x=27^3+x
Click here to see answer by Alan3354(69443) About Me 
Question 181203: (1/3)^2-x=27^3+x
Click here to see answer by stanbon(75887) About Me 

Question 181335: how do you condense the expression: log3 2x + 3 log3 4x?
Click here to see answer by Alan3354(69443) About Me 

Question 181545: A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
Click here to see answer by Mathtut(3670) About Me 

Question 181592: How would you plot on a graph the following:
f(x) = 5^x

Click here to see answer by stanbon(75887) About Me 
Question 181592: How would you plot on a graph the following:
f(x) = 5^x

Click here to see answer by solver91311(24713) About Me 

Question 181631: Solve e-x=6
Click here to see answer by Alan3354(69443) About Me 

Question 181705: A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
This is where I am at so far:
60 minutes = 1 hour
300 minutes = 5 hours
a cell divides into 2 every 4 minutes
300/4 = 75
75^2 = 5625
I feel that there is something that I missed please look it over and let me know. Thank you

Click here to see answer by Mathtut(3670) About Me 
Question 181705: A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
This is where I am at so far:
60 minutes = 1 hour
300 minutes = 5 hours
a cell divides into 2 every 4 minutes
300/4 = 75
75^2 = 5625
I feel that there is something that I missed please look it over and let me know. Thank you

Click here to see answer by stanbon(75887) About Me 
Question 181705: A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
This is where I am at so far:
60 minutes = 1 hour
300 minutes = 5 hours
a cell divides into 2 every 4 minutes
300/4 = 75
75^2 = 5625
I feel that there is something that I missed please look it over and let me know. Thank you

Click here to see answer by solver91311(24713) About Me 

Question 181760: y=3log(x-5)+2
the graph

Click here to see answer by Alan3354(69443) About Me 

Question 181764: 1. 2x^2+10x+12
Factor completely
2.x^2+8x=-16

3.x^2-16=0
4. x^2-16x=-64
5. 2x^2-12x+10
6.x^2+8x+15=0
7. x^2-x-12=0

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 182244: Radioactive iodine is used to determine the health of the thyroid gland it decays according to the equation y=ae*-0.0856t where t is in days find the half life of this substance
i dont understand all you are given is the exponent of -0.0856

Click here to see answer by Fombitz(32388) About Me 

Question 182322:
-------------
8x^4y^7
simplify
thank you!

Click here to see answer by Mathtut(3670) About Me 

Question 182324: (4p^2q)(p^2q^3)
simplify
thank you!

Click here to see answer by mastermath(14) About Me 

Question 182366: Y to the power of 1.2
Click here to see answer by Alan3354(69443) About Me 

Question 182425: Show a graph for all given equations and solve.

• A linear equation in one variable
3x - 4 = 5
• A linear equation in two variables
2x – y= 5
• A quadratic equation
x² + 2x - 8
• A polynomial of four terms
6xy – 4xy + 3x + 24 = 0
• An exponential function
f(x)= 2x
• A logarithmic function
Y= log₃ 5


Click here to see answer by Alan3354(69443) About Me 

Question 182492: x=log25^5 (log with the base of 25 to the fifth power)
how do i solve for x without using a calculator??

Click here to see answer by tvandenberg(45) About Me 

Question 182589: the amount g(in trillions of cubic feet) of natural gas consumed in the US from 1940-1970 can be modeled by g=2.91(1.07) to the t where t is the number of years since 1940.
44) graph the function
45) estimate the natural gas consumption in 1955

Click here to see answer by solver91311(24713) About Me 

Question 180439: do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
I feel that they can grow or show decay if you have a exponential that is positive or negative

Click here to see answer by Alan3354(69443) About Me 

Question 182605: Population studies of fiddler crabs on a tropical island reported 1.1 x 10^4 in 1980 and 1.5 x 10^4 in 1982. Predict the time that the maximum population, 2.0 x 10^4, that can be supported by the island's resources will be reached.
Click here to see answer by stanbon(75887) About Me 

Question 182325: (s^2t)^3(st)
simplify
thank you!

Click here to see answer by Earlsdon(6294) About Me 

Question 182590: write an exponential growth model that describes the situation.
58) you purchase an antique tale for $525. Each year t, the value V of the table increases by 5%.

Click here to see answer by Mathtut(3670) About Me 

Question 182676: 6b.
True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x." Explain.

Click here to see answer by stanbon(75887) About Me 

Question 182675: Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
thank you for your help.

Click here to see answer by Fombitz(32388) About Me 

Question 182755: solve for x:(log3 X)^2 + log3 X^2 +1=0
Click here to see answer by stanbon(75887) About Me 

Question 183180: You would like to have $6000 after 8 years. Find the amount you should deposit if the account pays 4.5% annual intrest compounded monthly?
Click here to see answer by user_dude2008(1862) About Me 

Question 183193: Please help! I do not understand logarithms - I think the answer here is -7, but I'm not sure. I need to solve for y. Can you please give me step-by-step instruction?
Log49 1/7 = y (log base 49)

Click here to see answer by Alan3354(69443) About Me 

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