Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 479408: 1.
Write the following equation of a circle in standard form:
x^2+y^2-4x +2y+3=0
2.
Find the standard form of the equation for a circle with a circle with a center at (-1, 3) and a point on the circumference of (0, -1)
3.
Write the area of a circle, A, as a function of the circumference C

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Question 479415: Evaluate the following logarithm by changing the base to the natural log. round the result to 3 decimal places.
Log[27]35

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Question 479455: solve for x: 3^1-2x= e^0.5x

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Question 479528: Suppose a sport fisher has a 35% chance of catching a fish that he can keep each time he goes to a spot. What is the probability that he catches a fish the first 4 times he visits the spot but on the fifth visit he does not?
the key is:
31.213 /3.200.000
Page 708

Click here to see answer by jorel1380(2518) About Me 

Question 479568: Hey guys, I'm having a bit of trouble finding out a few things about the graph of y = Log6^x . My teacher is asking me to find:
1. The Equation of the vertical asymtote
2. The X-Intercepts
3. The Range.
4. The Domain.
5. Is it increasing or decreasing.
I been trying for almost a day now to figure this out and I'm at a loss at how you find all of this with Log6^2. I'd really appreciate the help!

Click here to see answer by ccs2011(207) About Me 

Question 479561: explain why y= -x+b is its own inverse
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Question 478098: Solve for x
+log%28x%2C8x-3%29+-+log%28x%2C4%29+=+2+

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Question 479519: Respected Sir/Madam ,
Please help me to solve my problem . I Will be very grateful for your help. My question is :
If (log a)/(y-z) =(log b)/ (z-x)=(log c) / (x-y) then what is the value of a^(y+z) * b ^ (z+x) *c^(x+y)
As the Answer given is :1
So please Sir/Madam provide me the steps for this question..
Thank you,

Click here to see answer by Tatiana_Stebko(1326) About Me 

Question 479706: Respected Sir/Madam ,
Please help me to solve my problem . I Will be very grateful for your help. My question is :
The value of 16 log(64/60) +12 log (50/48)+7 log (81/80) +log 2
As the Answer given is :
So please Sir/Madam provide me the steps for this question..

Thank you,

Click here to see answer by stanbon(57347) About Me 

Question 479709: Respected Sir/Madam ,
Please help me to solve my problem . I Will be very grateful for your help. My question is :
The value of 16 log(64/60) +12 log (50/48)+7 log (81/80) +log 2
As the Answer given is : 1
So please Sir/Madam provide me the steps for this question..

Thank you,

Click here to see answer by stanbon(57347) About Me 

Question 480142:
               ___
Given f(x) = 3Öx-1, find f-1 if the inverse exists.

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Question 480230: I'm having trouble solving the Logarithmic equation Log(Base 2)(x-5)=4 . So far I've tried Moving the 4 over to the 2 to make 2^4=x-5, but after that I'm stuck. Could someone show me a step by step way to achieve the answer? Thanks!
Click here to see answer by lwsshak3(6505) About Me 
Question 480230: I'm having trouble solving the Logarithmic equation Log(Base 2)(x-5)=4 . So far I've tried Moving the 4 over to the 2 to make 2^4=x-5, but after that I'm stuck. Could someone show me a step by step way to achieve the answer? Thanks!
Click here to see answer by nerdybill(6959) About Me 

Question 480370: log base 7 (x+5) what is the domain?
Click here to see answer by nerdybill(6959) About Me 

Question 480385: if log_b2=x and log_b3=y, how do i evaluate log_b6 in terms of x and y
Click here to see answer by Alan3354(30993) About Me 

Question 480375: What is the log form of the following as a single number?
2logx + 1/4log 16 - log x/2

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Question 480368: log 7 (x+5) what is domain /
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Question 480267: On the problem Log (base 1/2)|6x-9|= Log (base 1/2)|-6| , what Logarithm rules do I use? And how do I got about implementing them into this problem to get the answer? I don't even know where to start lol, Thanks in advance.
Click here to see answer by lwsshak3(6505) About Me 

Question 480448: There are 4 different routes a student can bike from his house to school. In how
many ways can he make a round trip if he uses a different route coming than going?

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Question 480767: what percent annual increase will allow a population of 2 million fish to increase to a population of 3 million years over 10 years?
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Question 480905: reduce 2log3x-2log2x to a single log expression
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Question 481023: What is logx+log(x-1)=log2? Solve for x
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Question 481256: log6 625
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Question 480435: Do the following experiment
Part A
Create a chart like the one shown two columns of values starting with a in the left hand column
toss Coins
0 Starting number of coins
1 Coins left after first toss
2 Coins left after second toss
b) find a number of coins ( at leats 20). Place this number in the right hand column.
c) Place the coins in a paper cup, shake them, and toss them onto a tabletop
d) Remove any coins that are heads up. Count the remaining coins.
e) place this value in the right hand column
f) repeat the process until all the coins are eliminated.
Part B
State an equation that best fits the results (use n to represent the number of the toss)
Partc
Why does this experiment stimulate the half- life of radioactive decays? State an exponential equation that best fits the result.( use n to represent the number of the toss)
Part d
State the exponential equation that would predict the number of remaining coins if you began with N° coins


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Question 481309: Express as a single logarithm:
3 log--base5(x)-5[log--base5(y)+2log--base5(z)]

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Question 481432: please help me prove that-
16%5Elog3+=+9%5Elog4

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Question 481456: Hello! I need help please.
log (10,000)=?
Can somebody help me?
thanks

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Question 481725: How do I solve log base 7 243?
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Question 481759: Four cards drawn from standard denk of cards.Each card is replaced before the next one is drawn .Find each probability.
P(at most 1 jack)
P(4 jacks )
P(exactly 3 jacks)
Please ! help I'm stuck
737

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Question 481887: Good afternoon. Can anyone help me solve:
4+5e^-x=9
also, In(4x)= 3

Thanks in advance for the assistance.

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Question 481887: Good afternoon. Can anyone help me solve:
4+5e^-x=9
also, In(4x)= 3

Thanks in advance for the assistance.

Click here to see answer by Alan3354(30993) About Me 

Question 481919: How would you expand the logarithmic expression 3ln 7=5ln y
Thanks in advance!

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Question 481919: How would you expand the logarithmic expression 3ln 7=5ln y
Thanks in advance!

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Question 481778: Express as a single logarithmic expression: 2lnx + 1/2lny - 3lnz
Click here to see answer by ankor@dixie-net.com(15652) About Me 

Question 481851: 51 is .75% of solve for base and round to the nearest hundredth

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Question 482095: how do you rewrite log base 5 (x+3) into an equivalent expression using only natural logarithms ?
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Question 482420: i need help this is a homework practice.Iv tried using a calculator i got this answer with a calculator 1.396,Use your calculator to evaluate the expression e1/4 round your answer to 3 decimal points.The answer i got just dont sound right can someone please help me?
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Question 482567: log 9^81 = _log 9^3
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Question 482622: write the logarithmic equation in exponential form
log3 81 = 4

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Question 482670: solve for x
12^(-7x)=7^(-x+8)
give the exact answer using base 10 logarithms

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Question 482777: Log5a+log5b-log5c
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Question 482940: Find the inverse of the function f(x)= -2log3(x-1)+4
The '3' is the base of the logarithm. The coefficient and the '+4' part are throwing me off so if you could show me how to do it with or without the answer I'd appreciate it

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Question 483069: My pharmacology book gives the following equation for drug concentration at time t, C(t):
C(t) = C(0)exp(-CL/V)t
Taking logarithms, the authors arrive at:
lnC(t) = lnC(0) - (-CL/V)t
Wouldn't it be PLUS (-CL/V)t, since C(0) is multiplied with e^(-CL/V)t ?

Click here to see answer by Alan3354(30993) About Me 
Question 483069: My pharmacology book gives the following equation for drug concentration at time t, C(t):
C(t) = C(0)exp(-CL/V)t
Taking logarithms, the authors arrive at:
lnC(t) = lnC(0) - (-CL/V)t
Wouldn't it be PLUS (-CL/V)t, since C(0) is multiplied with e^(-CL/V)t ?

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Question 483161: 9=3^2
In a logarithmic form

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