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

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


Question 118729: Find each product.

(x³+x²+1)(x²-x-5)

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Question 118727: find each product
(x-y)(x²-xy+y²)

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Question 118710: find each product
2xy(3x²-xy+7)

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Question 118728: I need help to solve: to three decimal places.
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Question 118745: find each product.
3x²(2y+5x)

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Question 118725: xy(x²+3xy+9)
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Question 118724: 7x³(2x+3)
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Question 118709: Find each product.

3x²(2y+5x)

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Question 118769: Subtract.

(x²-3x+4) - (3x+x³-4)

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Question 118811: Good evening ma'am or sir, would you please help me on how to solve these 3 equations :
1). (ax^3)^2(ax^4)^3
2). (ab^2)^4(a^4b^2)^3
3). (5a^2xy^3)(b^3y^4)^3
Thank you very much ma'am or sir for your generosity. :)

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Question 118842:
please help me solve 2(3x^2y)^3

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Question 118903: solve algebraically:
log base 2(3x+2) - log base 4(x)=3

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Question 118903: solve algebraically:
log base 2(3x+2) - log base 4(x)=3

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Question 118813: Good evening ma'am or sir, would you please help me on how to solve these 4 equations :
1). 48ab^2c(4abc^0)^-2
2). 3x^0-n^-2 / -(3m-n)
3). (144*125 / 2^3*3^2)^-1
4). ab^-2 - a^-2b
Thank you very much ma'am or sir for your generosity. :)

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Question 119007: solve using synthetic division
(x^4+6x³+6x²)÷(x+5)

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Question 119008: solve using synthetic division
(2x²+3x-20)÷(x-2)

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Question 119010: solve using synthetic division
(4x²+5x+1)÷(x+1)

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Question 119014: divide.
(y²-18y+14)÷(y-1)

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Question 119012: use synthetic substitution to evaluate the polynomial for the given value
p(x)=25x²-16 for x=4/5

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Question 120166This question is from textbook
: How do I do log4 12This question is from textbook

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Question 120153: Please help me with this problem. I can't seem to figure out how to slove it.
Find all the zeros of each function by using synthetic division.
f(x)=3x^3-26x^2+76x-40
---I did the p/q hing to help me out, but none of them seemed to work unless I made a math error (but I would have had to do the same mistake because I did some of them twice).---
Thank You
<3KML

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Question 120490: How do I solve this equation for p?
log(p/(1-p))=-3.059

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Question 120613: 2x^(1/5)+2=4.4

solve please???!!?!?

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Question 120724: Solve:
a)
b)
c)
d)

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Question 120725: Solve:
a)
b)

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Question 120721: Solve for:
a)
b)
c)
d)

Thank you so much! :)

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Question 121080: Dear Algebra II tutor,
I am having trouble solving and checking thje extraneous solution of the following problem:
(2x+1)1/3 = 3
note: the 1/3 is an exponent.
I tried it out and got x=4 here is my work:
(2x+1)1/3(3) = 3(3)
2x+1=9
2x=8
x=4
I would very much appriate any help that you may offer, thank you for your time and effort.
Justin

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Question 121260: (x3+729)/(x+9)
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Question 122204: -11-33=
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Question 122347: log base 3 of (x+2)-log base 3 of (x-3)= log base 3 of 6 ; slove for x.
i have a major test tommarrow and i'm lost on how to slove these!
please and thank you for the help.

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Question 123128: The function g has defining equation g(x) = x^2-3x=2. Find (ans simplify) g(5=h).
My answer: h^2-3h+12 (I don't know why this is wrong.)

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Question 123127: If f(x)= 1/(2x) and g(x) = 3+x find (and simplify) the defining equation of the composition function f\circle g.
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Question 123860: is (-x)^2 and -x^2 equivalent or not and why
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Question 125665: lnx = 4

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Question 125698: use a calculator to approximate the value to two decimal places: (190)^-4/5
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Question 125849: 4) The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by

A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.
Suppose you deposit $2,000 for 5 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
Answer:
Show work in this space. Use ^ to indicate the power or use the Equation Editor in MS Word.

b) Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.
Answer:
Show work in this space:
c) Does compounding annually or quarterly yield more interest? Explain why.
Answer:

Explain:

d) If a bank compounds continuously, then the formula used is
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
Answer:
Show work in this space:

e) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
Answer:
Show work in this space:

5) Suppose that the function represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step when necessary.
a) Use this model to approximate the percentage of spam in the year 2003.
Answer:
Show your work in this space:
b) Use this model to determine in how many years (to two decimal places) it will take for the percent of spam to reach 95% provided that law enforcement regarding spammers does not change.
Answer:
Show your work in this space:

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Question 126372: assume the x is positive. log(x+6)-log x as the logarithim of a single quanity.
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Question 126530: what is the scientific notation of 324,000,000?
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Question 126487: A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected?
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Question 126559: Convert to logaritmic equations. 16^3/3=16 and e^x=5
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Question 126580: 4square root 6 * 2square root 20
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Question 126672: Can someone please try and solve this by 11:59pm TONIGHT!!! Or I will not receive credit at all even for trying and still getting the wrong answer!!!I can't figure this out, my friend and both got 6.88 years for part B. But my instructor says its incorrect. THANKS SO MUCH!!
A) If a bank compounds continuously, then the formula used is
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
Answer:
Show work in this space:
B) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
Answer:
Show work in this space:

Click here to see answer by solver91311(5072) About Me 

Question 126549: Please help me solve this problem. Please give three significant digits.(I need to use logarithms also.)
2^x-2=14

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Question 127034: 5=log base 2(v)
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