# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 427704: The exercise asks to solve algebraically this equation: 36(1.35)^x=4.35 My work comes up as: 36(1.35)^x-4.35=0 However, I have a key: approx. 8.024 Obviously, my work is wrong, and I wonder if I have to solve it using log but I am not sure about the steps. Can you help me to do it, please? Thank you Click here to see answer by lwsshak3(6490)

 Question 428001: how do i solve log6 3 + log6 8 - log6 4w Click here to see answer by Gogonati(809)

 Question 428054: How do you expand Logarithm, log base5 (m exponent 4 * n exponent 3) Click here to see answer by Theo(3458)

 Question 428129: I found it quite tough.. Log_x 9=7+Log_3 x^2+2Log_3 x Click here to see answer by stanbon(57282)

 Question 428146: I am trying to rewrite 1/(e^x + e^-x) in the form e^x/(e^2x + 1) Its for an improper integral problem. This form is in the solution manual so that it will fit easily into an arctan format. I'm not sure how to rewrite it from form 1 to form 2. Click here to see answer by Alan3354(30993)

 Question 428093: What is the value of log2 18 rounded to the nearest hundredth? Click here to see answer by nerdybill(6951)

 Question 428156: solve for T using the rules of logarithms, round answer to three decimal places: 6^T=5^T+1 Click here to see answer by Alan3354(30993)

 Question 428127: use logarithms to solver the equation 3^(2x-1) = 5^200, giving the value of x correct to 3 significant figures Click here to see answer by nerdybill(6951)

 Question 428215: How do you express 4^-3=1/64 in logarithmic form? When I did this question I got log base 4 of 64 equals -3. I just wanted to be sure I was doing it right. Click here to see answer by josmiceli(9664)

 Question 428502: Solve for X using the rules of logarithms, give exact answer. (sqrt( 3 ))^x+1=9^5x-1 Click here to see answer by shree840(260)

 Question 428620: how would i simplify 4 ln 1/3- 6 ln 1/9 into a single logrithm. what are the steps and where do i want to go ? Click here to see answer by stanbon(57282)
 Question 428620: how would i simplify 4 ln 1/3- 6 ln 1/9 into a single logrithm. what are the steps and where do i want to go ? Click here to see answer by solver91311(16872)

 Question 429176: I have no experiences using a logarithm so I need help trying to figure out how this formula works. Any assistance is appreciated. Earthquakes The Richter scale is used to determine the intensity of earthquakes, which corresponds to the amount of energy released. If an earthquake has an intensity of x, its magnitude, as computed by the Richter scale, is given by R(x)= log x/i0 , where I is the intensity of a small, measurable earthquake. (a) On July 26, 1963, an earthquake in Yugoslavia had a magnitude of 6.0 on the Richter scale, and on August 19, 1977, an earthquake in Indonesia measured 8.0. Find the intensity x for each of these earthquakes if I0 = 1 (b) How many times more intense was the Indonesian earthquake than the Yugoslavian earthquake? Click here to see answer by stanbon(57282)

 Question 429171: Rewrite the expression 5logx - 4log(x^2+1) + 4log(x-1) as a single logarithm A. A = Click here to see answer by poliphob3.14(115)

 Question 429398: combine the logarithmic expressions, then solve for x. log3(8x-13)-log3(12x+21)=-1 Click here to see answer by jsmallt9(3296)

 Question 429393: Solve log(2x-9)(x+3)=3 the logarithm is in base 3 Click here to see answer by jsmallt9(3296)

 Question 430035: Hello, I am trying to find an answer using the Log function on the Windows scientific calcultor. The equation given to me is: Log 1000000 = 6 Log 1000 = 3 Log 1.01 = 0.00432 I see how to do this. The issue is the following: I am told to put these values into the formula: 6-3 ----- = 694 0.00432 I cannot figure out how to enter the formulas or what keys to press to get the answer 694. I have tried everything without success. I think my biggest problem is not understanding what actual buttons to push or sequence of numbers to get to the answer 694. Also I think I am misunderstanding the minus sign in between the 6 and the 3. I have noticed the 6 is raised higher than the 3 in the original equation. Sincere Thanks, Ande Lu Click here to see answer by Theo(3458)

 Question 430189: How do you expand log base 2 square root of 4x? Click here to see answer by Gogonati(809)

 Question 430169: I am trying to the determine the half-life of an element using the following data: corn remaining / #of shakes 100 / 0 50 / 12 80 / 4 40 / 16 60 / 8 30 / 16 50 / 12 25 / 20 Click here to see answer by jsmallt9(3296)

 Question 430306: write the equation in logarithmic form 2x = 128 216 1/3 = 6 Click here to see answer by John10(245)

 Question 430342: convert to exponential form log x = 8 Click here to see answer by josmiceli(9664)

 Question 430344: 5 to the x = 17. State solution to the equation. Click here to see answer by Alan3354(30993)
 Question 430344: 5 to the x = 17. State solution to the equation. Click here to see answer by richard1234(5390)

 Question 430316: for the given g(x), evaluate the following. a) g(-3) b) g(b) c) g(x^3) d) g(2x-3) g(x) = 2 │1 - x │ - 7 Click here to see answer by robertb(4012)

 Question 430489: use the properties of lagarithms to express each sum or difference of lagarithms as a signle logarithm, or as a single number if possible log base 2 *4p^3 Click here to see answer by stanbon(57282)