# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 251494: 1. Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1.Use the resulting ordered pairs to plot the graph; State the equation of the line asymptotic to the graph (if any). y = log4 (x + 2) 2. use the formula nkt, where n is the number of items in terms of the initial population i, at time t, and k is the growth constant equal to the percent of growth per unit of time. there are currently 63 million cars in a certain country, decreasing by 6.9% annually. how many years will it take for this country to have 33 million cars? round to the nearest year. Click here to see answer by stanbon(57377)

 Question 251496: 1.Solve the problem. Given log b 3 = 3.6887 and log b 7 = 1.4873. Find logb 3/7 2.Express as a sum, difference, and product of logarithms, without using exponents. log18 7√x/y Click here to see answer by stanbon(57377)

 Question 251335: To measure the volume of loudness of a sound, the decibel scale is used. The loudness L in decibels (db) of the sound is given by: L =10 log I/I0 where I is the intensity of the sound. Solve: The band Strange Folk performed in Burlington VT and reached sound levels of 111 db. What is the intensity of the sounds? This is my answer, but my teacher says I did it wrong. Here's what he wrote: You have made some errors on this question. -------------------------- L =10 log I/I0 111 = 10 log (l/10) -------------------------- should be L =10 log I/I0 111 = 10 log (l/10^(-12) 11.1=log I - log 10^ (-12) Now solve for I Thanks! Click here to see answer by jsmallt9(3296)

 Question 251515: I do not know how to plug into calculator . Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 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. y = log4 (x + 2) 2. 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. y=3^x-4+1 Click here to see answer by jsmallt9(3296)

 Question 251551: Hi I need help with this problem. Thanks The half-life of lead is 22 yr. What is its decay rate? Click here to see answer by MRperkins(300)

 Question 251601: Evaluate the exponential function for three positive values of x, three negative values of x, and at x=0. f(x)=e^(-x)-1 Click here to see answer by stanbon(57377)

 Question 251206: Please help I am really confused and could use a step by step break down. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. ln (2x + 3) = 2 Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. log2√x^2-4 = 1 Click here to see answer by ankor@dixie-net.com(15659)

 Question 251599: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. log x =1 If an equation reads as log 10 or 10 whatever, this means log to the base 10. In other words, log (base10) of 10 = some number. This particular problem reads as log base 10 of x=1. Convert to exponential form. In other words, the base to the power 1 = x. Thus, x=1. Click here to see answer by dlam5(15)

 Question 251583: rewrite the formula as a single logarithm. logP = 1/2 (log K + 3 log R) The K is a constant. Click here to see answer by padmameesala(42)

 Question 251600: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. In (2x+3)=2 Click here to see answer by edjones(7569)

 Question 251614: 1. 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; State the equation of the line asymptotic to the graph (if any). y = 5x - 3 2. Solve the problem. Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by S(t) = 100 ∙ 6t . What is the doubling time for the yearly sales? Click here to see answer by MRperkins(300)

 Question 250805: The population growth of an animal species is described by F(t) = 700 + 50 log3 (2t + 1), where t is measured in months. Find the population of this species in an area 13 month(s) after the species is introduced. Thank you for any help you can offer. Click here to see answer by jsmallt9(3296)

 Question 251004: To measure the volume of loudness of a sound, the decibel scale is used. The loudness L in decibels (db) of the sound is given by: L =10 log I/I0 where I is the intensity of the sound. Solve: The band Strange Folk performed in Burlington VT and reached sound levels of 111 db. What is the intensity of the sounds? Thank You! Click here to see answer by jsmallt9(3296)

 Question 251524: 1.Express as a difference of logarithms. log g m/4 2.Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by S(t) = 100 ∙ 6t . What is the doubling time for the yearly sales? Click here to see answer by jsmallt9(3296)

 Question 250651: I'm having a bit of trouble with logarithm's questions such as these, are very confusing! Find the inverse of f ( x) = −2 log7(3x − 4) and Write as a single logarithm. 2 ln a − 3 ln b − 7 ln c − 6 ln d + ln g Click here to see answer by jsmallt9(3296)

 Question 251731: 1. Solve the problem. The function Y(x) = 48.94 ln can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In what year will the country's population reach 11 million? 2. Given that log 2 ≈ 0.301 and log 3 ≈ 0.477, find the following. log6 27 3. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. ln x - ln (x - 4) = ln 4 4. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. e^t = 1000 Click here to see answer by edjones(7569)

 Question 251746: Solve the problem. The function Y(x) = 48.94 ln can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In what year will the country's population reach 11 million? 2. Given that log 2 ≈ 0.301 and log 3 ≈ 0.477, find the following. log6 27 Click here to see answer by edjones(7569)

 Question 251778: log(3) 21 - log(3) 7 = log(3)Y what and how do you find the Y? Click here to see answer by jim_thompson5910(28595)
 Question 251778: log(3) 21 - log(3) 7 = log(3)Y what and how do you find the Y? Click here to see answer by stanbon(57377)

 Question 251578: Can someone help me with these two questions? Thanks 1. Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Use the resulting ordered pairs to plot the graph of each function; y=2^x, x=2^y 8. Evaluate the exponential function 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; State the domain and the range of the function. f(x) = e^-x -1 Click here to see answer by Theo(3464)

 Question 252184: Beryllium-11 decomposes into boron-11 with a half-life of 13.8 secs. How long will it take 240g of beryllium-11 to decompose into 7.5g of beryllium-11? Click here to see answer by nerdybill(6962)

 Question 252183: An earthquake registers 6.1 on the Richter scale. What is the rating on an earthquake that is twice as powerful? Click here to see answer by drk(1908)

 Question 252185: A GIC pays 6% per annum. How long would it take \$3000 to grow to \$ 6000? Click here to see answer by Edwin McCravy(8909)

 Question 252166: 4+ 1 -------- 4+ 1 ______ 4+ 1 ---- 4+....2 Click here to see answer by stanbon(57377)

 Question 252252: In the equation y=logbx, is it possible for x to have a negative value ? Click here to see answer by Edwin McCravy(8909)

 Question 252255: In the equation y=logbx, is it possible for x to have a negative value ? explain algebraically and graphically Click here to see answer by Edwin McCravy(8909)

 Question 252472: The amount of money in an account with continuously compounded interest is given by the formula , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded continuously at 5.5%. Round to the nearest tenth. Click here to see answer by drk(1908)
 Question 252472: The amount of money in an account with continuously compounded interest is given by the formula , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded continuously at 5.5%. Round to the nearest tenth. Click here to see answer by stanbon(57377)

 Question 252479: The pH of a juice drink is 2.6. Find the concentration of hydrogen ions in the drink. Click here to see answer by nyc_function(2733)

 Question 250803: Evaluate the exponential function 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. State the domain and the range of the function. f(x) = e^-(x + 5) Thank you for your help! Click here to see answer by drk(1908)

 Question 251492: 1. Evaluate the exponential equation for three values of x greater than -4, three values of x smaller than -4, and at x = -4. Show your work. Use the resulting ordered pairs to plot the graph;State the equation of the line asymptotic to the graph (if any). y=3^x=4+1 2. Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph; State the equation of the line asymptotic to the graph (if any). y = ln(x + 2) Click here to see answer by drk(1908)

 Question 252665: write as a sum or difference of logaX, logaY, logaZ, and state restrictions. loga√X^3Y^2/W Click here to see answer by stanbon(57377)

 Question 252722: write the following expression as a single logarithm and state restrictions. 4log(x-1)+2log(x+5)-log(x-2) Click here to see answer by drk(1908)

 Question 250694: Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1. Use the resulting ordered pairs to plot the graph;State the equation of the line asymptotic to the graph (if any). y = log4 (x + 2) (The 4 is supposed to be written sub-script) Click here to see answer by drk(1908)

 Question 249240: Hello, I solve the following can you check it for me to see if I am right Simplify Log7 7^5 My solutions: Log7=16807 I am not sure if it is right Click here to see answer by JimboP1977(308)

 Question 252804: What is the solution to the following indicial equations? Click here to see answer by JimboP1977(308)