# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 47037: ln (x + 5) - ln x =(4/3) Click here to see answer by uuuu(3)

 Question 47048: A bacteria culture started with a count of 480 at 8:00 A.M. and after t hours is expected to grow to f(t)=480(3/2)^t. Estimate the number of bacteria in the culture at noon the same day. Thanks. Click here to see answer by Nate(3500)

 Question 47049: The decibel level of sound is given by D=10*log(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 Nate(3500)

 Question 47047: The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days. Thank you. Click here to see answer by Nate(3500)

 Question 47087: Express as a single natural log: 2lnx + 4lny -5lnz Click here to see answer by mathchemprofessor(65)

 Question 47161: need help solving log subscript 3(10x-1) - log subscript 3(x)=2 Click here to see answer by Nate(3500)

 Question 47368: Help Please. Use the change of base rule to find the logarithm to four decimal places. log8 0.78 Click here to see answer by Nate(3500)

 Question 47374: Hi again, I could use soem help in seeing how this problem is worked out: 2^x-6=8^x Thanks again, Lous Click here to see answer by Nate(3500)

 Question 47609: Rewrite the expression as a sum or difference or multiple log^2(x^6y^7/4) Click here to see answer by Nate(3500)

 Question 47771: Given that log (lower a)(x)=3.58 and log (lower a) (y)= 4.79, find log (lower a)(y/x). I can not figure out these logarithms. Please help. Test coming soon. Click here to see answer by stanbon(57282)

 Question 47779: Using a calculator, find log 1000 where log means log to the base of 10. Click here to see answer by stanbon(57282)

 Question 47866: Most calculators have 2 different logs on them: log, which is base 10, and In which is base e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0, and 1. When a computer scientist needs a logarithm, he needs a log to base 2 which is not on a calculator. To find the log of a number to any base, we can use a conversion formula as shown here: ? Click here to see answer by stanbon(57282)

 Question 47879: Ok, in conjunction of question 47866, using this formula below: log b a = log a _____ log b Using this formula, find log 2 1000. Round your answer to the hundredth's place. (NOTE: the b in log b a is small as well as the 2 in log 2 1000) Hope that makes sense. Click here to see answer by stanbon(57282)

 Question 47888: expand the expression log sub script 4 32x Click here to see answer by stanbon(57282)

 Question 47886: Why is a 7.0 earthquake ten times stronger than a 6.0 earthquake? Click here to see answer by stanbon(57282)
 Question 47886: Why is a 7.0 earthquake ten times stronger than a 6.0 earthquake? Click here to see answer by tsmith5651(7)

 Question 47369: Use the change of base rule to find the logarithm to four decimal places. log4.6 22 Click here to see answer by Nate(3500)

 Question 48065: solve Log(a)(7x+1)= Log(a)(4x+16) where both sides are multiplied by Log(a) can't i really just ignore that and solve the equation 7x+1=4x+16 which reduces to 3x=15 so x=5? Click here to see answer by atif.muhammad(135)

 Question 47979: write as a single logarithm 5Lnx-81Lny solve for x 4Ln(3x)=40 10x+3=102 expand 1og(x raised to the 3rd power) divided by 10,000 5-x+2=5 3x+7 Click here to see answer by Nate(3500)

 Question 48091: Find the number log5(1/5). My possible answers are: a. -5 b. -1 c. 0.2 d. 1 Thank you for your help. Click here to see answer by Nate(3500)

 Question 48140: Not sure how to do the algebra or calculator part to solve composite functions. Click here to see answer by tutorcecilia(2152)

 Question 48217: I am trying to answer a question that reads: "Explain the difference between a logarithm of a product and the product of logarithms and give examples of each" I understand the product of a logarithm is the sum of the logarithm however I do not understand the difference? Click here to see answer by stanbon(57282)

 Question 48260: would really appreciate help on this one! solve for x: 2log[base 4]x-log[base 4](x-1)=1 Click here to see answer by stanbon(57282)

 Question 48256: Express Logarithm as a single quantity: 4[lnx-7ln(x-2)]-5ln(x+2) =4[lnx/(x-2)^7] - ln(x+2)^5 =ln[(lnx^4/(x-2)^28]/(x+2)^5] Click here to see answer by stanbon(57282)

 Question 48672: I need help in finding the value of X: log2 8 = x Click here to see answer by longjonsilver(2297)

 Question 48803: Solve for x exactly. Do not use calculator or table show work. In (log x)=1 Click here to see answer by stanbon(57282)

 Question 48986: write the logarithmic equation in exponential form log 3 27 = 3 log 125 25 = 2/3 Click here to see answer by Nate(3500)

 Question 48985: convert to logarithmic equations 16 ^3/2 = 64 e^x = 5 Click here to see answer by Nate(3500)