# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 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? Click here to see answer by checkley77(12569)

 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)

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

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

 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)
 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)

 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)

 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)

 Question 248732: Solve the equation and express the solution in exact form: Click here to see answer by edjones(7569)

 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)

 Question 248767: Use properties of logarithms to expand the expression as much as possible. Assume x and y are both positive. Click here to see answer by dabanfield(803)

 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 + In y Click here to see answer by dabanfield(803)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

 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 Click here to see answer by Edwin McCravy(8882)

 Question 250018: solve: 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 for the log in the parentheses but now I don't knwo what to do? Click here to see answer by stanbon(57250)

 Question 250101: write the logarithm as a sum. Then simplify if possible. log 5xyz Click here to see answer by stanbon(57250)

 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)