Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 87924: I need help with a question that says: solve each of the following for x
*1/8=4^(6x+2)
*(1/4)^x=256
*log10x=4
Click here to see answer by stanbon(57250)

Question 87834: I need help with this word problem. A herd of an endangered antelope species was relocated to a wildlife refuge. The exponential model for the antelope population after t years is given by the equation P=3000/(1+9e^-0.18310t)
where P represents the population after t years. Find the population after 6 years.
Click here to see answer by tutorcecilia(2152)

Question 88109: expand the logarithm
logb Square root of 55/86
Click here to see answer by Nate(3500)

Question 88107: find the logarithm written as a single expression. 2logb x + 5logb y
Click here to see answer by Nate(3500)

Question 88306: Hello! I was exploring logarithm and found a quetion with a solution that wasn't very clear to me. So I need your help.
The problem was "the logarithm of 20 to the base 5 + the logarithm of 1/4 to the base 4" so what is the solution to that problem? Can you please explain it to me step by step.
Thank you very much for your support.
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 88476: USe the properties of logarithms to expand log2 x^4(x + 3).
I don't get this at all. I need some major help!
Click here to see answer by stanbon(57250)

Question 88497: 2. For the given equation
log base y (x-1)+ log base y ( x^2+x+1)= 1
A) solve for y.

B)Let y= f(x)and find f^-1 (x)
Thank you
Click here to see answer by stanbon(57250)

Question 88495: 1. Solve for the variable
ln ( e^x / e^2x+1 )= -x-1
Click here to see answer by ankor@dixie-net.com(15639)

Question 88534: How to solve
22) 2^x-1 = 8^-2x

33) write a formula
y= -3+f(x-2)

48) write in logarithmic form
127= 2 (10^0.5x)- 17.3

Click here to see answer by stanbon(57250)

Question 88625: My teacher wants the to solve the set of problems, but her being in Florida on vacation does not help me in any form or fashion....Please help
log7 + log (n - 2) = log 6n
log516 - log52t = log52
log5m = log5125
logy = log16 + log49
log6(b2 + 2) + log62 = 2
log3(5x+5) - log3(x2 - 1) = 0
log2(x - 2) + 5 = 8 - log2 4

Click here to see answer by Nate(3500)

Question 88631: log base 10 (x+3)- log base 10 (x-1)=1
Click here to see answer by bucky(2189)

Question 89238: Suppose that v(t) = 10^t-1 +2 Compute v^-1 (t)
Click here to see answer by Edwin McCravy(8882)

Question 89334: logx9 = 2^3
Solve for X
Click here to see answer by josmiceli(9661)

Question 89527: Condense the expression to the logarithm of a single quantity.

2log10(x)-5log10(x-7)
Click here to see answer by stanbon(57250)

Question 89526: During 1991, 200,000 people visited a particular amusement park. During 1996, the number had grown to 604,000. Find an exponential model for this data, lettingrepresent the number of visitors in any year andrepresent the number of years since 1991.

Click here to see answer by stanbon(57250)

Question 89499: What is log(10)100?
the (10) is an exponet.

Click here to see answer by stanbon(57250)

Question 89658: The directions is: Write the expression as a single logarithm.
Problem #1 5logbq+2logby
I know you are suppose to multiply the numbers but what about the numbers in front where do you multiply them?
The multiple choice answers is
A. logb(q5y2)
B. (5+2)logb(q+y)
C. logb(q5+y2)
D. logb(qy5+2)
Click here to see answer by stanbon(57250)

Question 89657: Determine the time required for the amount in an account to reach $10000, if there's an initial deposit of $4000 earning 8% interest compounded quarterly.
Click here to see answer by stanbon(57250)

Question 89895: The following question is on my sample test as a bonus question. Please help me answer this.
What is the exact value of log₃ 4log₄ 5log₅ 6log₆ 3?
Click here to see answer by stanbon(57250)

Question 90074: Solve loga(7x+1)=loga(4x+16)
Click here to see answer by stanbon(57250)

Question 90339: log6(x+3) + log6(x+4)=1
Click here to see answer by Nate(3500)

Question 90340: 9 to the 7x+3 power=27
Click here to see answer by Nate(3500)

Question 90470: I need help solving this problem.
convert to logarithmic form
3^2=9
Click here to see answer by bucky(2189)

Question 90465: I need help with this problem.
Convert to logarithmic form

Click here to see answer by bucky(2189)

Question 90588: 3x=27
3(x+5)like in power= 9 (2x-7) also as in power

Click here to see answer by Nate(3500)

Question 90691: 1.Goreliebium 2ooo has a half-life of 4 weeks.If there are 100 units of goreliebium 2000 in the begining,
a.how much will be left in 3 weeks?
b.how much will be left in 7 weeks?
2. The average height of a longleaf pine as a function of its age is given by
h(t)=120(1-e^-.o4t). How tall is a typical tree after 30 years?After 100 yrs.?After 150 yrs.?
not from my math 161 book. instructor came up with same.
Click here to see answer by scott8148(6628)

Question 90925: Explain how the functions of exponents and logarithms relate to each other.
Click here to see answer by stanbon(57250)

Question 90924: explain what the graph of a logarithmic function looks like.
Click here to see answer by stanbon(57250)

Question 91152: What is the formula for solving this problem
Solve the equation two ways: by equating bases and using the uniqueness properties, and by applying a base-10 or base-e Logarithm and using the power property of Logarithms.
243/64=16(3/4)^n-1
Click here to see answer by stanbon(57250)

Question 91224: Please help explain what I need to do with this problem:
9^x= 4sqrt3
Click here to see answer by vertciel(183)

Question 91257: I do not know how to work this problem. Can you please work this problem step by step resulting in an answer, so that I will be able to grasps how to work it.
^5√x^4y^6
__________
Z^5
The entire problem is under the square root symbol. all of the
numbers are exponents.

Thank you
Click here to see answer by THANApHD(104)

Question 91661: How to solve this equation:
log with base 2 (x) + log with base 6 (x) = 3
Click here to see answer by Nate(3500)

Question 91677: Ten years ago your friend invested in a plot of land with the idea of eventually building a summer cottage on it. His plan was to place a "nest egg" of $12,000 in a long term Certificate of Deposit which paid 8% interest over a period of 20 years, compounded monthly. At the end of the 20 years, he would use the money to build the cottage.
The problem was the plot had 8 prairie dogs on it 10 years ago when he acquired the ground.
This year he made a count of the prairie dogs and found there were 102 on the same plot! A biologist friend assured him that the prairie dogs were growing exponentially according to the law of natural growth, and something needed to be done.

1. Write the formula for natural exponential growth for this particular prairie dog population.
Hint: Find the "k" value for this population, and put it in your formula.

2. Once you have this formula, predict:
a. approximately how many years from now will the population reach 365 prairie dogs.
b. approximately how large the population will be 10 years from now.

3. Write the formula for compound interest and calculate how much money your friend will have on deposit (in the account described above) after 20 years (10 years from now).

Click here to see answer by stanbon(57250)

Question 91679: Graph f (x) = 2x.
Click here to see answer by tutorcecilia(2152)

Question 91757: Solve: 2^(2x+1) = 3^(2x+2)
Click here to see answer by stanbon(57250)

Question 91756: Solve: ln 4 + ln x = 3.
Click here to see answer by stanbon(57250)

Question 91755: Write log 10 N = x in exponential form.
Click here to see answer by stanbon(57250)

Question 91759: Solve: 5^ (2x-3) = 6^(3x)
Click here to see answer by mathispowerful(115)

Question 91826: Given f (x) = e^x, find f (-4.1) accurate to four significant digits.

Click here to see answer by mathispowerful(115)

Question 91828: Write log b 81 = 2 in exponential form.

Click here to see answer by mathispowerful(115)

Question 91828: Write log b 81 = 2 in exponential form.

Click here to see answer by stanbon(57250)

Question 91827: Graph f (x) = (1/4)^x
Click here to see answer by mathispowerful(115)

Question 91827: Graph f (x) = (1/4)^x
Click here to see answer by stanbon(57250)

Question 91825: 2) Following through on your understanding of a logarithm being an exponent,
what would log b(ba) equal?
and
what would 10 log(x) equal?

Click here to see answer by stanbon(57250)

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