Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 247868: Please help me solve this equation log3%282x-1%29-log3%28x-4%29=2
Click here to see answer by Fombitz(13828) About Me 

Question 247785: The number of books in a small library increases according to the function B = 5100e0.02t, where t is measured in years. How many books will the library have after 9 years?

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Question 248003: solve (x-2)^2(2x+1)less than or equal to 0
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Question 248118: 2logx+3logy-6logxy
Click here to see answer by nerdybill(6951) About Me 

Question 248162: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph y=5^x-3 please help very confused

Click here to see answer by Fombitz(13828) About Me 

Question 248198: How do you solve 2log4-log3+2logx-4=0?
Click here to see answer by Alan3354(30983) About Me 

Question 248310: What is log of 4 2 + log of 4 x=log of 4 26?
Click here to see answer by solver91311(16872) About Me 

Question 248298: log2^x+log2^4=3
Click here to see answer by edjones(7569) About Me 

Question 248536: how do you simplify 3log base x X^6
Click here to see answer by stanbon(57250) About Me 

Question 248608: 7^x^2-15=49^x
Click here to see answer by jsmallt9(3296) About Me 

Question 248628: Please help really stumped! Approximately one-third of all glass bottles distributed will be recycled each year. A beverage company distributes 310,000 bottles. The number still in use after t years is given by the function
N(t)=310,000(1/2)^t
After how many years will 60,000 bottles still be in use?
.

Click here to see answer by josmiceli(9661) About Me 
Question 248628: Please help really stumped! Approximately one-third of all glass bottles distributed will be recycled each year. A beverage company distributes 310,000 bottles. The number still in use after t years is given by the function
N(t)=310,000(1/2)^t
After how many years will 60,000 bottles still be in use?
.

Click here to see answer by ankor@dixie-net.com(15639) About Me 

Question 248650: Rewrite as equation logarithmic equation
logx9=1/2

Click here to see answer by stanbon(57250) About Me 

Question 248665: Express as an equivalent expression that is a sum of logarithms thanks
log t (3ab) the t should be a little lower than the g in log. thanks

Click here to see answer by jim_thompson5910(28504) About Me 

Question 248661: Rewrite the following as an equivalent logarithmic expression Do not solve.
Qt=x the t should be above the Q a little bit, wasn't sure how to type it out. thanks

Click here to see answer by jim_thompson5910(28504) About Me 

Question 248732: Solve the equation and express the solution in exact form:
4%5E%283x%29+=+1%2F64

Click here to see answer by edjones(7569) About Me 

Question 248760: I need the steps for entering 4+2log(5)/1-log(5) using a TI30xa.
The answer is 17.932, but I cannot come up with it using the calculator.
Thanks.

Click here to see answer by edjones(7569) About Me 

Question 248767: Use properties of logarithms to expand the expression as much as possible. Assume x and y are both positive.
log+6+%28%28x%2B8%29%2Fx%5E3%29+

Click here to see answer by dabanfield(803) About Me 

Question 248775: Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm. Where possible, evaluate logarithmic expressions.
7 In x + 1%2F3 In y

Click here to see answer by dabanfield(803) About Me 

Question 248828: Hi, I need help with two problems. Thank
1. Rewrite as an equivalent exponential equation
log 10^3=0.4771
2. express as an equivalent expression using the individual logarithms of w,x,y, and z
log[c]root:3(x^4/y^3z^2)

Click here to see answer by stanbon(57250) About Me 

Question 248854: Rewrite the expression
ln (a+b) + 4 ln (a-b) - 3 ln c
as a single logarithm ln A. Then the function
A=
Please help? Thank You!

Click here to see answer by nerdybill(6951) About Me 

Question 248956: Please help and let me know if i am correct! thank you
Express as a sum, difference, and product of logarithms, without using exponents.
loga8+4logax+logay+3logaz

Click here to see answer by edjones(7569) About Me 

Question 249077: The number of bacteria growing in an incubation culture increases with time according to B(t) = 3300(2)x, where x is time in days. Find the number of bacteria when x = 0 and x = 3.
Can you please help solve?

Click here to see answer by stanbon(57250) About Me 

Question 249237: Hello,
I do I solve the following:
Rewrite as an equivalent exponential equation. Do not solve
Log8 64=2

Click here to see answer by tutorcecilia(2152) About Me 

Question 249366: PLEASE HELP!In 1998, the population of Country C was 26 million, and the exponential growth rate was 1% per year. Find the exponential growth function. here are my chices:
P(t) = 260.01t , where P(t) is in millions and t is the number of years after 1998.
P(t) = 26e1t, where P(t) is in millions and t is the number of years after 1998.
P(t) = 26e0.01t, where P(t) is in millions and t is the number of years after 1998.
P(t) = 26e0.01, where P(t) is in millions and t is the number of years after 1998.

Click here to see answer by nerdybill(6951) About Me 

Question 249534: please help me write the exact solution for this logarithm do (dont know how it becomes 18)
log (10x)-log(x+2)= 2log(3) Thanks

Click here to see answer by scott8148(6628) About Me 

Question 249542: Maria is twice as old as Jasmine. Six years ago, Maria was three times as old as Jasmine was then. Find the age of each girl.
Click here to see answer by stanbon(57250) About Me 

Question 249559: How would I solve ln 8x=7?
Click here to see answer by chosenpoint(26) About Me 

Question 249519: Evaluate the logarithmic equation for three values of x that are less than -1, three values of x that are between 0 and -1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).
y = -log3.5 (-x) The 3.5 is a, or the subscript
Thank you for any help you can offer.


Click here to see answer by Theo(3458) About Me 

Question 249647: 3 log 3 + 6 log 3y - log 3z...
How do you write this expression as a single logarithm...?

Click here to see answer by stanbon(57250) About Me 

Question 249680: log((x^2-1)/(Cube Root(x^2+1))
Click here to see answer by stanbon(57250) About Me 

Question 249764: 6%5E%282x%29-42%2A%286%5Ex%29%2B216=0
Click here to see answer by Alan3354(30983) About Me 
Question 249764: 6%5E%282x%29-42%2A%286%5Ex%29%2B216=0
Click here to see answer by solver91311(16872) About Me 

Question 249817: According to the United States Geological Survey, the San Francisco earthquake of 1906 resulted in a seismographic reading of 63,096 millimeters 100 kilometers from its epicenter. What is the magnitude of this earthquake? M(x) = log (x/10^-3)
Click here to see answer by stanbon(57250) About Me 

Question 249968: Solve for x:
log3^4-log3x=2

Click here to see answer by Alan3354(30983) About Me 

Question 250010: Okay I am working on an Algebra II take home test & I'm really struggling. If you can help me with at least one problem I would really appreciate it.
Evaluate 2%5Elog+base+2+of%288x-1%29

Click here to see answer by Edwin McCravy(8882) About Me 

Question 250018: solve:
log+base+x%5Blog+base+2%28log+base+3+of+9%29%5D=2
Unfortunately I do not know how to put this without all the words. But this is a problem on one of my take home tests. I dont understand how to solve because I get 3%5E2=9 for the log in the parentheses but now I don't knwo what to do?

Click here to see answer by stanbon(57250) About Me 

Question 250101: write the logarithm as a sum. Then simplify if possible.
log 5xyz

Click here to see answer by stanbon(57250) About Me 

Question 250174: I do not understand how my instructor got the answer to this question of a logarithmic equation. log(5x-4)divided by logx =2 . The answer is 4. When I take 10 as the base of the log I get 5x-4=100x and this does not make sense. Can anyone help?
Click here to see answer by richwmiller(9135) About Me 

Question 250372: write the equation (1/3)-4=81
Click here to see answer by Alan3354(30983) About Me 

Question 250426: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).
x=3^x-4 + 1
Thank you for any help you can offer!

Click here to see answer by stanbon(57250) About Me 

Question 250502: Hi I need to solve this equation. but need help.
5^(x)=4^(x+1)[(4/5)^(x)]
Thank you for your time.

Click here to see answer by MRperkins(300) About Me 
Question 250502: Hi I need to solve this equation. but need help.
5^(x)=4^(x+1)[(4/5)^(x)]
Thank you for your time.

Click here to see answer by jsmallt9(3296) About Me 

Question 250423: Express as a single logarithm, and, if possible, simplify??
4 loga y + 1/7 loga z
Thank you for your help!

Click here to see answer by Theo(3458) About Me 

Question 250543: Hi,
Can you help me with solving this problem?
Express as a sum, difference, and product of logarithms, without using exponents
Log2 x^5 y^8/4
Thank you for your time.

Click here to see answer by stanbon(57250) About Me 

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