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 109465This question is from textbook
: This question is from textbook

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Question 109818This question is from textbook Algebra 2
: How do you solve a natural logarithm equation?This question is from textbook Algebra 2

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Question 109935: I'm stuck on a logarithm problem.
The original problem is log5(the 5 is superscript)square root of x = square root of log(x).
i've gotten as far as logx^(1/5)=square root (log(x))

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Question 109940: please help to solve for x. 9^x=1/3
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Question 110268: These 3 problems are from a worksheet, not a textbook, and I so desperately need them solved within the next hour, if possible. I tried and cannot work them out. Thanks!
1.Solve the following exponential equation. Your solution should be accurate to 2 decimal places.
41/(1-1e^7x) = 56




2. Solve the following exponential equation. Your solution should be accurate to 2 decimal places.
5e^-5 + 5 = 7



3. Solve the following logarithmic equation. Your solution should be accurate to 2 decimal places.
ln(x-4) + ln(7) = 4
Thank you very much for your help with this tonight.


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Question 110200: Please help! Thanks tutors!
log2(x-1) - log2(x+3)= log2(1/x)

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Question 110372: don't know if you can help but here is the question?
Suppose that 4e^(5x) + 8 = 7e^(5x) - 1. Solve for x

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Question 110645: Find the value of x: log x 25/9 = 2
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Question 110643: Assume that all variables are positive and multiply:
y^3/6 (y^-3/6 + 7y^3/6)

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Question 110831: If I want a patio that has 9 times the are by what factor do I have to increase the side?
I think that the answer is 3. I know that if I increase x by a factor of t, then f is increasedc by a factor of t^k. It is doing is backwards that I have a problem with. So my idea is that if f is 9 times its original size, then because we are dealing with area the k is 2. which means that 9=x^2. which would make my answer 3. Right?

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Question 110873: if log x/log 4=n then what is 8n=?
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Question 110864: Is anyone able to answer this for me? Thanks if so
5^x-3=137
Thanks!

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Question 110934: FIND THE EQUATIONS OF ANY HORIZONTAL ASYMPTOTES WITHOUT GRAPHING
Y=E^X-8

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Question 110973This question is from textbook
: i need help solving this problem (answer in back says 64)
log4 X=3
This question is from textbook

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Question 110973This question is from textbook
: i need help solving this problem (answer in back says 64)
log4 X=3
This question is from textbook

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Question 110973This question is from textbook
: i need help solving this problem (answer in back says 64)
log4 X=3
This question is from textbook

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Question 110971This question is from textbook
: explain why a polynomial function of even degree cannot have an inverse.
This question is from textbook

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Question 110865: Half life question. Please help if possible.
The half-life of the radioactive element plutonium-239 is 25,000 years. If 16 grams of plutonium-239 are initially present, how many grams are present after 25,000 years? 50,000 years? 75,000 years? 100,000 years? 125,000 years?

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Question 110978: A radioactive element sodium-24 has a half-life of 14 hours and is used to help locate obstructions in blood flow. A procedure requires 1.5 grams and is scheduled to take place in 37 hours.
At what rate is the sodium-24 decaying?
What is the minimum amount of sodium-24 that must be on hand now?

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Question 111273: Evaluate. 2 x 2to the third power
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Question 111265: F(X)=
2X
-----
X^2+16
FIND ALL VERTICAL AND HORIZONTAL ASYMPTOTES

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Question 111639: Please help. I couldn't find any likes of a solution to this problem nor a section to enter this problem on the website :
Given that , prove that .

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Question 112397This question is from textbook A graphical Approach to College Algebra
: the problem is- (1/2) raised to the x and it is equal to 4. first thing i know we have to do is, to set the bases equal, but since this is a fraction, i'm not quite sure on how to get there. which is what i need help on...is how to find the same base for this problem since it is a fraction! This question is from textbook A graphical Approach to College Algebra

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Question 112361: 7^x-3/4=Square root of 6
PLEASE HELP! THANKS!

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Question 112643This question is from textbook Intermediate Algebra
: The volume V of a given mass of gas varies directly as the temp T and inversely as the pressure P. If V=161.0in cubed when T=230 degrees and P= 20 lbs/in squared, what is the volume when T=390 degrees and P=20 lbs/in squared?This question is from textbook Intermediate Algebra

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Question 112642This question is from textbook Intermediate Algebra
: The volume V of a given mass of gas varies directly as the temp T and inversely as the pressure P. If V=161.0in cubed when T=230 degrees and P= 20 lbs/in squared, what is the volume when T=390 degrees and P=20 lbs/in squared?This question is from textbook Intermediate Algebra

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Question 112641This question is from textbook Intermediate Algebra
: The volume V of a given mass of gas varies directly as the temp T and inversely as the pressure P. If V=161.0in cubed when T=230 degrees and P= 20 lbs/in squared, what is the volume when T=390 degrees and P=20 lbs/in squared?This question is from textbook Intermediate Algebra

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Question 112835: In the equation logx 4 + logx 9 = 2, what is x equal to?
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Question 112835: In the equation logx 4 + logx 9 = 2, what is x equal to?
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Question 112985: Use the properties of Logarithms to write as single logarithm.
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Question 113445: Please help??
Solve for x(leave answer in exact form): 3^x=4
Solve for x:9^x+2 = 27

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Question 113524: Dutch settlers purchased Manhattan Island from the Manhattan Indians for $24. If the Indians had deposited that money into a bank at 5% intrenst compunded quarteyly what would the account be worth today?
do th e problem again assuming the money was deposited continuously for the same amount of time.
I have no idea what to do for this probelem. I know that for the first part I have to use the compund intrest formula which is A=P(1+r/n)^nt, and for the second part I have to use A=Pe^rt. From here I'm lost please help.
Thanks

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Question 113531This question is from textbook Glencoe Algebra 2
: log 10 (log 8 8)= X
The 10 and first 8 are subscripts. I added spaces, so it wouldn't get mushed together.
Thank you for the help!!
This question is from textbook Glencoe Algebra 2

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Question 113540This question is from textbook Glencoe Algebra 2
: A radioisotope is used as a power source for a satellite. The power output is given by the equation P=50e^-t/250, where P is the power in watts and t is the time in days.
a). Find the power available after 100 days
b). Ten watts of power are required to operate the equipment in the satellite. How long can the satellite continue to operate?
This question is from textbook Glencoe Algebra 2

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Question 113542This question is from textbook Glencoe Algebra 2
: The Diaz family bought a new house 10 years ago for $80,000. The house is now worth $140,000. Assuming a steady rate of growth, what was the yearly rate of appreciation?
I appreciate any help you can give me!
This question is from textbook Glencoe Algebra 2

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Question 113622: 2(a-8)+7=5(a+2)-3a-19
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Question 113671: If log(2) = r, log(5) = s, and log(6) = t,
find log() in terms of r,s, and/or t.

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Question 113678This question is from textbook College Algebra
: Hi hopefully someone out there can help me.
Applications: Exponential Growth & Decay
A = 45, K = 0.06, X = 20
Find the value of y=Ae^kx for the given values of A, k, and x
This question is from textbook College Algebra

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Question 113772: x^0.40=0.263407446 Solve for x.
I know this problem looks weird but i am a college physics student and i was able to simplify it this far but i dont know how to solve for x fom this point.
i have already taken Calculus I at the college level and all math courses preceding it but i have never ran into a problem quite like this. Please help me.

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Question 113754: with the compound interest formula:
A=amount, P=principle, r=annual interest rate, n=# of times it is compounded per year, and t=# of years so that: A=P(1+ r/n)^nt, find the length of time it takes for the investment to increase M fold (M=2 double, M=3 triple), for time in terms of M,r,and n

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Question 113533This question is from textbook Glencoe Algebra 2
: The intensity of light decreases as it passes through sea water. The equation ln Io/I= 0.014d relates the intensity of light I at the depth of d centimeters with the intensity of light Io in the atmosphere. Find the depth of the water where the intensity of the light is half the intensity of the light in the atmosphere.
Thanks for your help.
This question is from textbook Glencoe Algebra 2

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Question 113578: log(x+10) - log(x+4) = log x
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Question 114048This question is from textbook Algebra 2
: how do you graph ?This question is from textbook Algebra 2

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Question 114048This question is from textbook Algebra 2
: how do you graph ?This question is from textbook Algebra 2

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Question 114264This question is from textbook
: e^(2x)=20This question is from textbook

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