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

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Question 54615: Please help w/ the following: Thank you

The amount of money A accured at the end of N years when a certain amount P is invested at a compound annual rate r is given by A=P(1+r)^n. If a person invests $160 at 4% interest compounded annually, find the approximate amount obtained at the end of 15 years.

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Question 54614: Please help w/ the following. Thank You.

If 10,000 is invested at 9% compounded monthly for 6 years the compounded amount is given by A=10,000(1.0075)^72. Given that log 1.0075=0.00325, find log A. (Note that 10,000=10^4).

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Question 54764: Yesterday I submitted this problem;however,forgot to include e.
Please help.Thank You
the number of bacteria present in a culture after t minutes as B=100e^kt If there are 6231 bacteria present after 11 minutes, find k.

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Question 54891: Please help w/ the following:
Find x if e^59x =8, and you are given ln 8=2.0794
Thank You.

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Question 54888: Please help w/ the following:
e^-3x=3.1

Thank you.

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Question 54886: Please help w/ the following:
Evaluate:
ln( 1/^5 radical e)
Thank you.

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Question 54965: Please help w/ the following: Thank you
Find all real solutions of the following equation:
log base 4^x + log base 4(x + 60)= 4

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Question 54995This question is from textbook Discovering Advanced Algebra
: I need help with solving x for the problem -3x^(1/2)+(4x)^(1/2)= -1
Can you please show me how you solve it? Thanks for your help!
This question is from textbook Discovering Advanced Algebra

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Question 54887: Please help. Thank you
Solve:
1/4 =8^6x+5

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Question 54887: Please help. Thank you
Solve:
1/4 =8^6x+5

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Question 55177: PLEASE HELP ME:
The amount of a radioactive tracer remaining after t days is given by A=Ao e^-0.18t where Ao is the starting amount at the beginning of the time period. How much should be acquired now to have 40 grams remaining after 3 days?

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Question 55172: PLEASE HELP ME WITH THIS PROBLEM:
The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days.

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Question 49921: this is about fatoring..
12x^2+17x+6
how do i factor it?

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Question 55568: find the inverse of the following function; f(x)= 10^(x-3)+4




determine the value of log with a base of n times ab squared so like lognab squared, with the n as a base of log; if log base na (logna)=5 and lognb=3

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Question 55587This question is from textbook Algebra2
: Graph: (a) y=2 (b) y=2x
The book has the answer at y = 3/5X+26/3
I can not get this answer no matter how I graph it. It is like some of the problem is missing.
This question is from textbook Algebra2

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Question 56197: how do you simplify (x^(y+1)+z^2)(x^(y-1)-z^2)
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Question 56859: 8xy2/12x3y5
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Question 56921: evaluate; 2^square root of x + 3square root of x = 9
----------
This equation can be solved by graphing.
2^(sqrt x) =- 3sqrt(x) = 9

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Question 57999: log7 45
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Question 58012: Kindly assist me with the following calculus problems :
Q1
calculation mad easy ltd , wishes to estblish its profit function . however the cost and revenue functions are not readily available and therefore need to be established first . the following data complied from past records for this purpose
units (x) 50 100 150 250 300
cost C(x) usd (000) 4250 5100 5950 7650 8500
revenue ( R) usd ( 000 ) 1700 3400 5100 8500 10200

a) determine the cost , revenue an profit function
b) find the break even piont
c) what is the ecpected profit when 400 units are produced and sold ?

Q2
market survey of suppliers of a particular product have resulted in the conclusion that the supply is approximately quadratic . suppliers were asked what quantities they would be willing to supply at different market prices .
the results of the survey are below

price ( usd) 25 30 40
supply (000) units 112.5 250 600


further survey of the demand pattern of the product indicated that the demand function was D(p)=p^2-100p-2500
a) determine the supply function
b) determine the market equilibrium price and quantity

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Question 58090This question is from textbook algebra 2
: 2log5x=log59This question is from textbook algebra 2

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Question 58099This question is from textbook Algebra 2
: This question is from textbook Algebra 2

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Question 58119This question is from textbook algebra 2
: Log4a+Log49=Log427This question is from textbook algebra 2

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Question 58262This question is from textbook
: find the exact solution to the equation 3^x+5=9^xThis question is from textbook

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Question 58309: Exponential Functions
It is known that fourth of all aluminum cans distributed will be recycled each year. A company distributes 1,9000 cans.
The number of cans still in use after time t, in years, is given by the following function.

N(t)=1900(1/4)^t
How many cans are still in use after 5 years?

This is not from a text book, I am taking an on-line class.
I have tried this several times and can not seem to figure it out.

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Question 58335This question is from textbook Algebra 2
: 9z-4=6.28This question is from textbook Algebra 2

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Question 58662: Hello,
I know you are stressed for time so I do not need an writeup on this question, just the break down in numbers,
could you please help me find x in the equation log(x+6)=log(x+1)+0.699
best regards,
Len

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Question 58818: I am having trouble solving the following equation:
3^(3x-4)=9^x. Any help would be appreciated.

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Question 58817: I need help on logarithms. This is a precalculus homework question. "Write the expression as one logarithm. 2ln x - 4ln (1/y) - 3ln(xy)" Thanks
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Question 58840: What is the answer to (2h^3-5h^2+22h+51)/(2h+3)
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Question 59163: Hello, could you help me with writing a function, all I need is the function to understand it, I dont need an explanation.
A radioactive isotope is produced, it takes 20 minutes to double the existing amount of the isotope. write an equation for the number of isotopes, n, as a function of time.
thanks.

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Question 59245: Please find derivative and simplify:
y=ln(3x-5)^3/(5x+4)^4

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Question 59400: Please find derivative and simplfy:
y= x^3e^-2x
y= square root e^x
y= square root lnx
y= ln square root x
y= e^x^2e^2x
Thanks alot! i'm so confused!

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Question 59407: Please find derivative and simplify:
y= x^3ln3x
y= e^ln5x
y= e^lnx
y= ln(5x+2)^3/ln(5x+2)

i've completed over half of my homework, but i'm stuck right here...please help

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Question 59585: Page 42, Question #82: Evaluate each expression; 6-(-8)^2 over -3-(-1).
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Question 59451This question is from textbook McDougal Littell Algebra 2
: I'm on the chapter review on page 526. I cant figure out how to solve the equation and i need your helpThis question is from textbook McDougal Littell Algebra 2

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Question 59794: log square root of (x) = square root of (logx)
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Question 60002: I'm not sure how these are to be constructed, help would be appreciated.
Find the logarithmic equation in exponential form:
i. log3 27=3
ii. log125 25=2/3
Thank you!

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Question 59793: log(x+2) - log(2x+1)= logx
I am not sure what to do with the (-) and how it effects the rest of the problem.

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Question 60232: Find the equation of the tangent line to the curve y=e^3x at the point (0,1)
Please Please Help!!

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Question 60264: 3 logb x = logb 64
I do not understand this problem. I have a quiz coming up Wednesday. I need someone to help me with this problem. My brain hurts. Can someone please help me?

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Question 60239: Using the change of base formula logax=lnx/lna, find the derivative of
y=log2x^3



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Question 60763: log3(1/9) = -2
Change each logarithmic equation to an equivalent
equation involving an exponent.

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Question 60762: 2.23 = N
Change this exponential equation to an equivalent equation involving a
logarithm.

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