Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 151170: using formula w=0.00185h^2.67 where w is a boy's weight in pounds and h is his height in inches, estimate the height of a boy whose weight is 100 pounds.
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Question 151110: ln(5x-2)=12. approximate the solution to four decimal places.
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Question 151246: The population growth of an animal species is described by F(t)=500+90 log3 (2t+1) where t is measured in months. Find the population of this species in an area 40 month(s) after the species is introduced.
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Question 151505This question is from textbook precalculus
: Example 4 on page 352 shows how to do this problem, but I am having problems factoring once I get to the point of setting the 2-x-x^2>0 and then solving for x (factoring is one of my major weaknesses). I seem to have trouble with factoring whenever I am faced with needing to combine the same variable in two different forms (e.g. the -x-x^2). Thanks. This question is from textbook precalculus

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Question 151505This question is from textbook precalculus
: Example 4 on page 352 shows how to do this problem, but I am having problems factoring once I get to the point of setting the 2-x-x^2>0 and then solving for x (factoring is one of my major weaknesses). I seem to have trouble with factoring whenever I am faced with needing to combine the same variable in two different forms (e.g. the -x-x^2). Thanks. This question is from textbook precalculus

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Question 151917: How would I write the following expression as a single logarithm: log5-logx-logy?
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Question 152358: Suppose that the function P= 11+44lnx represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2002.
Use this model to determine in how many years it will take for the percent of spam to reach 85%?
I am having trouble trying to solve this problem.
I understand that 85=11+44lnx is how to set up the problem, but am not sure how to isolate x to find out the number of years.

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Question 152408: Hi, my name is Stormy i'm going into 9th grade and I start Wednesday.I have no clue what the logarithm is and i would like too know so that i have a headstart in algebra concept this year. I get all a's and don't want them to drop. This is the first year i did not attend summer school and they learned the logarithm this year. if you could please give me a short explanation of what the logarithm is i would greatly appreciate it.
Thanks again,
Stormy

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Question 152434: A woman deposits $50,000 in a savings account with 4% continuously compounded interest. How many years must she wait until the balance has doubled?
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Question 152403: find the logarithm: log base 5 of 1/125
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Question 152402: find the logarithm: log base 36 of 6
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Question 152475:
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Question 152620: Would someone kindly help me with this algebra question?
A satellite has an elliptical orbit around the earth with one focus at the earth’s center, E. The earth’s radius is 4,000 miles. The highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. What is the eccentricity of the satellite’s orbit?
Thank you in advance for sharing your valuable knowledge :0) !!!
Grateful,
Jai

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Question 152620: Would someone kindly help me with this algebra question?
A satellite has an elliptical orbit around the earth with one focus at the earth’s center, E. The earth’s radius is 4,000 miles. The highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. What is the eccentricity of the satellite’s orbit?
Thank you in advance for sharing your valuable knowledge :0) !!!
Grateful,
Jai

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Question 152746: how would i solve this by hand? i know from the calcualator the answer is -3 but i'd like to learn how to do it the other way.
-2 ln e^2 + 1

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Question 152880: 10 log .55 = ?
10 log .30 = ?
thank you

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Question 152883: log(2x-1) = log(x+3) + log3
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Question 152980: Express 3log b x-4 log b y+1/2 log b z as a single logarithm and simplify if possible. I am at a total loss. Please help... Thank you very much in advance!
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Question 152980: Express 3log b x-4 log b y+1/2 log b z as a single logarithm and simplify if possible. I am at a total loss. Please help... Thank you very much in advance!
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Question 153014: I do not know how to express this in terms of sums and differences of logarithms. Please help. Thank you very very much.
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Question 153014: I do not know how to express this in terms of sums and differences of logarithms. Please help. Thank you very very much.
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Question 152841This question is from textbook basic technical mathematics with calculus
: In studying the frictional effects on a flywheel, the revolutions per minute R that is makes as a function of the time T (in min)is given by R = 4520(0.750)^2.50T. Find T for R = 1950 R/min.This question is from textbook basic technical mathematics with calculus

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Question 153135: Use properties of logarithms to expand the logarithmic expression as much as possible.
LOG (16/ √(x-1))
___2

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Question 153136: If log 2 » 0.301 and log 3 » 0.477, then log 6 »
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Question 153136: If log 2 » 0.301 and log 3 » 0.477, then log 6 »
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Question 153132: 4 ln x - 1 /4 ln y
Use properties of logarithms to expand the logarithmic expression as much as possible.

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Question 153142: Evaluate:
log__9
___3

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Question 153168: log(3)9
Evaluate:

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Question 152082: Use the properties of logarithms to find the exact value of the expression log7 25*log5 10*log10 49??????
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Question 153152: Please help. Anyone?
Write the expression as a sum and/or a difference of logarithms with all variables to the first degree.
ln
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Question 153275: solve for x:
log5x(x-1)=2

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Question 153463: How do you Combine logs?
Log(base5)(x^2-1)-Log(base5)(x-1)

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Question 153462: Expanding Logarithms:
Log12 + 1/2 Log7 - Log2

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Question 153571This question is from textbook
: Translate each problem into an equation
State College has 620 students.
There are 20 more women than men.
How many woman are there.
This question is from textbook

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Question 153700This question is from textbook Intermediate Algebra
: I can't seem to understand the problem I'm faced with. Can someone please help!
I have to simplify each expression. All variables represent positive real numbers.
The 4th root of 25b^2
Thanks for your help!
This question is from textbook Intermediate Algebra

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Question 153726This question is from textbook Intermediate Algebra
: Evaluate the expression log(base 8)8^5.
Thanks!
This question is from textbook Intermediate Algebra

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Question 153867: Express the given quantity as a single logarithm.
ln(1+x^9)+ 1/2 ln(x)-ln(sin(x))

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Question 153877This question is from textbook Intermediate Algebra
: Problem:Assume that x,y,& z are positive numbers. Use the properties of logarithms to write the expression "the 5th root of x^4y^6/z^5" in terms of the logarithms of x,y,& z.This question is from textbook Intermediate Algebra

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Question 153887This question is from textbook Intermediate Algebra
: This is something I can't handle and I need serious help! The problem is to assume that x is a positive number. Use the logarithm properties to present the expression log(x+9)-log x as the logarithm of a single quantity.
Thanks a lot!
This question is from textbook Intermediate Algebra

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Question 153905This question is from textbook Intermediate Algebra
: I need help with this problem. Find the value of x: log base x 169/9=2
Thank you for your help.
This question is from textbook Intermediate Algebra

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Question 153967: I need help writing Log(base1/6)6X^2 as a natural log.
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Question 153967: I need help writing Log(base1/6)6X^2 as a natural log.
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Question 154054This question is from textbook
: I hope someone can lend a hand on this one. I have tried several different ways to solve but none of the answers check.
Solve for m: Base6^3m-2 + 5 = 9.
Here is what I have so far:
log 6(3m-2) + log 5 = log 9
subtract log 5 from both sides
log 6 (3m-2) = log 9 - log 5
divide both sides by log 6
3m-2 = log 9 - log 5 / log 6
3m-2 = 0.255272505 / log 6
3m-2 = 0.328049984
add 2 to both sides
3m = 2.328049984
divide both sides by 3
m = 0.776016661
Where did I go wrong? Any help is greatly appreciated
This question is from textbook

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Question 154437: Seems like this should be simple...
"Solve for x using logs. Give an exact answer.
4 * 2^x = 6 * 5^x "
I tried:
4*log2^x=6*log5^x
log2^x^4=log5^x^6
log2^4x=log5^6x
log (2^4x)/(5^6x)=0
10^0=(2^4x)/(5^6x)
1=(2^4x)/(5^6x)
so x=0
Which is incorrect. I'd really appreciate some help on this one!
T

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Question 154437: Seems like this should be simple...
"Solve for x using logs. Give an exact answer.
4 * 2^x = 6 * 5^x "
I tried:
4*log2^x=6*log5^x
log2^x^4=log5^x^6
log2^4x=log5^6x
log (2^4x)/(5^6x)=0
10^0=(2^4x)/(5^6x)
1=(2^4x)/(5^6x)
so x=0
Which is incorrect. I'd really appreciate some help on this one!
T

Click here to see answer by stanbon(26252) About Me 

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