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

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 201660: log(square root of 1-x) - log(square root of x+2)=logx
First I sqared both sides and got log 1-x -log x+2=log x squared
then i performed the quotient property of logs and got log(1-x/x+2)=log x squared then I got 1-x =x squared (x-2) then I got X cubed - 2x+ x-1=0
Click here to see answer by RAY100(1637)

Question 201085: Find the present value of $15,000 due 5 years later at 6.1% compounded continuously.
can someone help
thanks

Click here to see answer by rfer(12644)

Question 201085: Find the present value of $15,000 due 5 years later at 6.1% compounded continuously.
can someone help
thanks

Click here to see answer by MathTherapy(1419)

Question 201770: if you cant find the book then the question is
log2 (x+1)-log4 x=1
i am having trouble solving for x
the 2 and the 4 are the bases of the logs

Click here to see answer by jsmallt9(3296)

Question 201772: (1/5)^2x=625, solve for x
Click here to see answer by Earlsdon(6287)

Question 201769: i get stuck after the first step and i need help solving for x
Click here to see answer by Alan3354(30924)

Question 202230: Square root of log[7]27
I can't figure out how to enter this problem into my calculator..
Click here to see answer by solver91311(16868)

Question 202385: i nedd to know how to express this in a common logarithm log base 2 to the 25 power then approximate the decimals to the four places
Click here to see answer by stanbon(57203)

Question 202432: Can ANYONE help me with ANY of these?

1) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
3*4^0 = ____

2) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
1 / 4^-2 = ____

3) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
(1/4)^-1/2 = _____

4) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
(bm)^-3 = ____

5) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
y^-5 / y^-2 = ____

6) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
(-243)^3/5 = ____

7) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
36^1/2 = ____

Thank you for your help,
Sarah
Click here to see answer by jim_thompson5910(28476)

Question 202433: Can ANYONE help me with ANY of these?

1) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
3*4^0 = ____

2) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
1 / 4^-2 = ____

3) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
(1/4)^-1/2 = _____

4) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
(bm)^-3 = ____

5) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
y^-5 / y^-2 = ____

6) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
(-243)^3/5 = ____

7) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
36^1/2 = ____

Thank you for your help,
Sarah
Click here to see answer by jsmallt9(3296)

Question 202455: Can anyone help me with these problems???

1) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
y^-5 / y^-2 = ____

2) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
(-243)^3/5 = ____

3) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
36^1/2 = ____

4) Simplify by expressing fractional exponents instead of radicals.

sqrt ab

5) Simplify by expressing fractional exponents instead of radicals.

8th root of x^2y^4

6) Simplify:
8th root of y^2

7) Simplify:
5 / sqrt of 5

8) Simplify:
3rd root of 27^2

Thank You for your help. :)
~Sarah
Click here to see answer by stanbon(57203)

Question 202471: I need help with these two problems please!

Solve for x without tables:

1) x = log(base 5) 1
x= ____

2) x = log(base e)sqrt of e
x= _____

~Sarah
Click here to see answer by jim_thompson5910(28476)

Question 202463: Can someone help me with these? The directions are as follows:
Use the table of logarithms to calculate the answers:

1) log 7.83 =

2) log .068 =

3) antilog 0.3814 =

4) antilog (8.3174 - 10) =

Thanks! ~Sarah
Click here to see answer by Theo(3458)

Question 202793: find the equation of the tangent line to the curve y=9e^-7x at the point (0,9)
y(x)=
can someone help please
thanks
Click here to see answer by jsmallt9(3296)

Question 202796: find the absolute maximum and minimum values on the closed interval [-1,8] for the function below.
f(x)=x^(2/3)+5
not sure how to due
thanks

Click here to see answer by Earlsdon(6287)

Question 202798: find the derivative
f(x)=x^4*e^3x
f'(x)=
this is what I came up with and it says my answer is wrong- what did I do wrong
f'(x) 4x^3*e^3x*3

Click here to see answer by stanbon(57203)

Question 202797: theater owner charges $3.00 of admission, there is an average attendance of 100 people. for every .10 increase in the admission price , there is a loss of 2 customers from the average number.
Teacher is asking what admission price should be charged in order to maximize revenue?
what is the maximum revenue?
I set it up
R(x)= (3.00-.10x)(100-2x)
am I on the right track
not sure what to due next
thanks

Click here to see answer by stanbon(57203)

Question 202839: According to the rule of signs, the equation f(x)=X^4+4X^3-2X^2+X-6 has a maxium of ____ negative roots?
Click here to see answer by RAY100(1637)

Question 202851: Simply: ln(e^2k)
Click here to see answer by RAY100(1637)

Question 202866: I need sooo much help... and i gladly appreciate your efforts in trying to teach me logarithms....
the directions are: change each logarithmic expression to an equivalent expression involving an exponent.
some of the questions are:
1) log3^2=x
2) log 2 m=1.3

please if you can explain this in detail i would greatly appreciate it...
Click here to see answer by stanbon(57203)

Question 202885: simplify: 16t^-224
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Question 202885: simplify: 16t^-224
Click here to see answer by dyakobovitch(40)

Question 202885: simplify: 16t^-224
Click here to see answer by RAY100(1637)

Question 202903: Solve for x to four decimal places. The number e is the base of the natural logarithm function.
thanks
Click here to see answer by jsmallt9(3296)

Question 202978: f(x)=In ((x^2+4)/3X)) partheness around the whole equation
compute f'(x) then find the exact value of f'(6)
f'(6)=
not sure what to do
can someone help
thanks
Click here to see answer by rfer(12644)

Question 203001: Kaleah1 needs help in solving word problem below:
Upstream, downstream. Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
Click here to see answer by stanbon(57203)

Question 203072: Convert the following equations into logarithmic form:
a. 9 = 4x
b. 3 = 6y
c. 5 = 7y
d. X = 9y

Click here to see answer by jsmallt9(3296)

Question 203088: can someone help me with this please thanks
U.S. Population
YEAR POPULATION
1930 122,800,000
1940 131,700,000
1950 150,700,000
1960 179,300,000
It is estimated that the limiting population that the United States can support is 500,000,000 people. Predict the population for the year 2000 using the logistic growth model on the basis of the data in the years 1950 and 1960. In other words:
* Let P = P (t) be the population, where t is the number of years after 1950.
* Assume P (t) is of the form given by the logistic equation. Determine what the value of L must be in this case.
* Find the exact values of P (0) and P (10) from the U.S. Population table given above. Use these two data points to find the values of b and k in the formula for P (t).
Note: Answer to the nearest 1 million people, and do not use commas in your answer.

Click here to see answer by stanbon(57203)

Question 203087: Find the absolute maximum and absolute minimum values of the function below. If an absolute maximum or minimum does not exist, enter NONE.
f(x) = x^2 + 250/x on the open interval (0,infinity )
I know that the absolute max is the answer NONE
but I can not figure out the absolute min
can someone help please
thanks
Click here to see answer by jim_thompson5910(28476)

Question 202999: find the derivative

lost help please
Click here to see answer by Edwin McCravy(8879)

Question 203166: In particular, identify a situation, event, context, etc. in your everyday life that can be described via either an exponential function OR a logarithmic function.
Click here to see answer by rfer(12644)

Question 203213: 1/X^8 * x^5

Click here to see answer by jsmallt9(3296)

Question 203386: use logarithms to solve each equation:
3(superscript x)= 5(superscript 5x-1)
Click here to see answer by Theo(3458)

Question 203431: can someone help me with this please
Find the area under the curve below from x = 1 to x = 6. Give your answer correct to 3 decimal places.
y = 7/x
thanks

Click here to see answer by scott8148(6628)

Question 203483: solve:
log x^2= (log x)^2
Click here to see answer by RAY100(1637)

Question 203500: can someone help me with this question
thanx.
solve the following equation for x, giving the answer correct to two decimal places

this question is from the book Longman Pre-U Text STPM Mathematics S & T Paper 1

Click here to see answer by jsmallt9(3296)

Question 203504: The consumer price index compares the cost of goods and services over various years. The same goods and services that cost $100 in 1967 cost $148.50 in 1977. Assuming exponential growth, find the value of these same goods and services in 1999.

After what period of time did the same goods and services cost double that of 1967?
Hint: x.xx years
can someone help please

Click here to see answer by stanbon(57203)

Question 203505: A rectangular box with not top is to contain 2250 cubic inches of volume. Find the dimensions of the box that will minimize the surface area. The length (l) of the base is three times the width (w)
w= inches
h= inches
l= inches
not sure what I am doing wrong but I am having any luck can someone please thanks
Click here to see answer by scott8148(6628)

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