Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 49306: 10^(2x-1)=e^(4x-3)
Click here to see answer by Nate(3495) About Me 
Question 49306: 10^(2x-1)=e^(4x-3)
Click here to see answer by atif.muhammad(135) About Me 

Question 49307: 4e^(3x-1)=46
Click here to see answer by atif.muhammad(135) About Me 

Question 49305: xLog(43)=7+e^1.9
Click here to see answer by atif.muhammad(135) About Me 

Question 49523: (1/2)^4=1/16 write in logarithmic form
Click here to see answer by stanbon(26252) About Me 

Question 49756:
Write in exponential form:

log100.001 = -3

Click here to see answer by AnlytcPhil(958) About Me 

Question 50097: Today is Aug 28th and I'll assign one second of homework. On Aug 29th, I'll assign two seconds of homework. On Aug 30, four seconds; on Aug 31, 8 seconds and so on. I'll continue doubling your homework for 30 school days until Oct 11th. From Oct 11th until the end of the year you will have no homework...sounds good, right? How much homework will you end up with. Show your work.
Thanks,
Nick

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

Question 50111: Please solve this problem for me :
Solve for x if log(x+5). logx = 2
both the above logarithms are to base 10

Click here to see answer by atif.muhammad(135) About Me 

Question 50122: log4x+log4(x+12)=3
(x)(x+12)=4^3
x^2+4x+12=48
x^2+4x=36
x(x+12)=36
x=?
I'm missing something right?

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

Question 50363: i,m not quite understand the square of binomial. Can somebody please help me with thiese lesson....thanks
example problem:
(4m-9)squared or (4m-9)exponent of 2

Click here to see answer by tutorcecilia(2042) About Me 

Question 50362: Solve 3 log (2x - 3) = 0 for X
Click here to see answer by stanbon(26252) About Me 

Question 50399: Please help express the below as one logarithm.
log(lower a)(y+5)+ 2log(lower a)(x+1).
Is it: log(lower a)[2(y+5)(x+1)]

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

Question 50392: This looks quite not like anything I'm use to seeing and can't come up with the answer. Please help???
The decibel level of sound is given by D=10log(I/10^12), where I is the sound intensity measured in watts per square meter. Find the decibel level of a whisper at an intensity of 5.4 x 10^10 watts per square meter.

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

Question 50391: Can anyone help me solve this log problem:
Solve log(lower a) (8x+5)=log(lower a)(4x+29)

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

Question 50011: I need your assistance on this logarithm problem. Any help would be greatly appreciated.
Solve

Click here to see answer by venugopalramana(3286) About Me 

Question 50013: I attempted this to solve this expression and came up with log(a)(y+2x+7). Is this correct. If not please help solve.
Write the expression log(a)(y+5)+2log(a)(x+1) as one logarithm.

Click here to see answer by venugopalramana(3286) About Me 

Question 50658: Hi, I have to solve the following equation for x
log(98-x+x^2)=2
thanks for the help!

Click here to see answer by rapaljer(3610) About Me 

Question 50654: Hi, I have a question that is assume log4=.6021 determine log1\16. I know I can do this on the calculator and find log 1/16 is -1.2041, but that gives me no understanding of the problem. Is there a way to do working out to come to the solution??? thanks very much.
Click here to see answer by rapaljer(3610) About Me 

Question 50743: 57.86*4.385
Click here to see answer by stanbon(26252) About Me 

Question 50772: Greetings. I have a word problem that I must use logarithms to figure out.
"On a certain street, a section having an area of 4896.7 square yards is paved at an expense of $12,642,17. What would be the expense to a property holder who pays for 356.28 square yards of the pave?
This is not from a textbook. The questions are similiar to those found in the Penn Foster study units of Technical Math I.

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

Question 50875This question is from textbook calculus with applications
: Please solve logb(4b^2)This question is from textbook calculus with applications

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

Question 50888This question is from textbook calculus with applications
: Please Solve LOG3(x^2+17)-LOG3(x+5)=1 ThanksThis question is from textbook calculus with applications

Click here to see answer by Nate(3495) About Me 

Question 50916: Hi, the following question has me a little stumped...
it is solve for x
e^2in(2x)
does this then become e^(2x)squared??
not quite sure what to do with this question.
thanks.

Click here to see answer by rapaljer(3610) About Me 

Question 50915: Hi, I have a multiple choice question and i'm stuck between the two answers.
I have ln (x\square root of yz) =
either lnx - 1\2 (ln y - ln z)
or ln x - 1\2 (ln y + ln z).
I have got as far as ln x - square root ln y SOMETHING ln z
I am just not sure whether the SOMETHING should be plus or minus sign.
thanks for your help.

Click here to see answer by rapaljer(3610) About Me 

Question 50927: Hi, I have to solve the following for x
log(little 3) (x+7) - 3loglittle3 2 + log little3 x
I'm not sure how to put teh little 3s on the keyboard, sorry!
If you could please help i would greatly appreciate it. thanks

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

Question 50956: Hi,
I don't understand this problem. it says solve for y in terms of x. i tried multiplying each side by 2 and take the ln of each side ending with 2y=ln(2x^3+4) but then got stuck. please help

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

Question 51777: Hi, I have to solve the following for t:
300=500(1-e^0.2t)
Assume that ln *0.4)= -0.9
I wouldnt even know where to start..all i can think to do is
300\500=(1-e^0.2t)
any help would be very much appreciated! thanks

Click here to see answer by Nate(3495) About Me 

Question 52046: write the following as a single logarithm 5logn y + 3logn t
Click here to see answer by funmath(2873) About Me 

Question 52057: How do you evaluate
1. log base is 12 544 ? do I divide 544 by 12?
2. log base .5 24?

Click here to see answer by Edwin McCravy(2920) About Me 

Question 52133: Hi, I have to solve the following for x
e^2ln(2x)=4
I have done (2x)^2=4
4x^2=4
x^2=1
so x would be the squareroot of 1
is this correct??
thanks for your time!

Click here to see answer by josmiceli(3003) About Me 

Question 52368: solve for x
log base 2x + log base 2(x-6)=4
my answer was x=2
am I correct?

Click here to see answer by funmath(2873) About Me 

Question 52398: I have a three part problem. But I have the answer to the first part and to the second part. I am having a problem with how to graph the function. The whole question is:
The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
Write h as a function of r. Keep "pi" in the function's equation.
For that part I got 100/Pi(r)^2 = h
The second part says:
What is the measurement of the height if the radius of the cylinder is 2 centimeters? Round your answer to the nearest whole number. I got 8cm.
Then the last part says:
Graph this function
I am unsure how to graph the function to this problem. Thanks for your time.

Click here to see answer by THANApHD(104) About Me 

Question 52399: I am having a hard time doing this problem.
An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
Find the function V that represents the volume of the box in terms of x.
Graph this function and show the graph over the valid range of the variable x.
Using the graph, what is the value of x that will produce the maximum volume?
For the function V that represents the volume of the box in terms of x.....I think the answer is: V=x(6-2x)(8-2x). But I'm not sure. And I don't know how to graph it.
Thanks for your time.

Click here to see answer by ChillyWiz(11) About Me 

Question 52570: ln(x)-ln(x-2)=ln(7)
Click here to see answer by Nate(3495) About Me 

Question 52568: 5^(2x+1)=1/125
Click here to see answer by Nate(3495) About Me 

Question 52567: 5^(2x+1)=1/125
Click here to see answer by Nate(3495) About Me 

Question 52668: log10 X=12
Click here to see answer by funmath(2873) About Me 

Question 52882: If a < b, then -a > -b Why?
Click here to see answer by funmath(2873) About Me 

Question 53296: i need to find the value of x here and i really need your help... i need the answer today before 6-9 in the morning... thanks...
(4^(x-1))*(3^(x+2))=12^4

Click here to see answer by funmath(2873) About Me 

Question 53298: Using a calculator, find log 10000 where log means log to the base of ten.Show work

Click here to see answer by funmath(2873) About Me 

Question 53295: i need to find the value of x here and i really need your help... i need the answer today at least before 6-9 in the morning... thanks...
(4^(x-1))*(3^(x+2))=12^4

Click here to see answer by funmath(2873) About Me 

Question 53224: I have a homework assignment that I am having a hard time solving. I think I have the right answer. But I'm not sure. The question is:
The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by
A=P(1+r/n)^nt
A is the amount of returned.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the compound period.
t is the number of years.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
For that problem I did:
A= $10,000(1+.10/2)^2*.10
A=$10,000(1+.05)^2*.10
A=$10,000(1.05)^2*.10
A=$10,000(1.05)^.2
A=$10,000(1.009805798)
A=$10,098.05798
Did I do it right?

Click here to see answer by rapaljer(3610) About Me 
Question 53224: I have a homework assignment that I am having a hard time solving. I think I have the right answer. But I'm not sure. The question is:
The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by
A=P(1+r/n)^nt
A is the amount of returned.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the compound period.
t is the number of years.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
For that problem I did:
A= $10,000(1+.10/2)^2*.10
A=$10,000(1+.05)^2*.10
A=$10,000(1.05)^2*.10
A=$10,000(1.05)^.2
A=$10,000(1.009805798)
A=$10,098.05798
Did I do it right?

Click here to see answer by Nate(3495) About Me 

Question 53225: I am not sure if I am doing this problem the right way.
The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by
A=P(1+r/n)^nt
A is the amount of returned.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the compound period.
t is the number of years.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.
Thanks for your time!

Click here to see answer by rapaljer(3610) About Me 

Question 53184: Solve LOGa(7x+1)=LOGa(4x+16)
Click here to see answer by ankor@dixie-net.com(6690) About Me 

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