# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 80153: I'm having issues with logarithms. I'm studying for my final and this is the first question on my review: log(subset x)(8/125)=3 I began by applying the quotient rule and came up with: log(subset x)8-log(subset)125=3 I thought I would rewrite it as log(subset x)(8x125)=3, but I have no clue. I believe I would know what to do if there weren't constants in the equation, but I cannot figure this out. My answer options are: a) 2/5 b) 5/2 c) 3 d) 8 Thank you so much! Click here to see answer by tutor_paul(490)

 Question 80157: express the solution in exact form ln(-x)+ ln 4=ln(3x-9) Click here to see answer by stanbon(57409)

 Question 80155: express the solution in exact form ln(-x)+ ln 3=ln(3x-9) Click here to see answer by stanbon(57409)

 Question 80364: I would like a solution to how it is done to evaluate each expression: log of 2 (log of 2, 4). I do know the answer is 1. Please explain . Thank you, Charles Click here to see answer by stanbon(57409)

 Question 80371: I would like a solution to how it is done to evaluate each expression: log of 3 with the square root of 3. I do know the answer is 1/2 (from the back of my text book's answers to the problem), but the log calculator on this web site had the answer as 0 because it was needed 0 divisions to get to 1. Please explain . My question is written below ___ log _/3 3 Click here to see answer by stanbon(57409)

 Question 80373: I would like a solution to how it is done to evaluate each expression: -2+ 1n e^3. I do know the answer is 1 (from the back of my text book's answers to the problem), but the log calculator on this web site had the answer as 0 because it was needed 0 divisions to get to 1. Please explain . Click here to see answer by stanbon(57409)

 Question 80380: Find the inverse of the function f(x)= -3x-6. I know the answer is -6-x f-1(x)= ------ 3 I only need the solution on how it was figured out. Click here to see answer by bucky(2189)

 Question 80370: I would like a solution to how it is done to evaluate each expression: log of 2 (0.5). I do know the answer is -1 (from the back of my text book's answers to the problem), but the log calculator on this web site had the answer as 0 because it was needed 0 divisions to get to 1. Please explain . Thank you, Charles Click here to see answer by josmiceli(9697)

 Question 80394: evaluate the expression: log with a base of 2 with the argument (0.5) The answers in the back of my book is - 1. please explain the solution. Click here to see answer by tutor_paul(490)

 Question 80382: Find the inverce of the function f(x)= 2/3x- 3/5. I know the answer is f^-1 (x) =3/2x + 9/10. It is really important to me to know how it is done. I need to know the solution. Thanks Click here to see answer by tutor_paul(490)

 Question 80375: Find the Inverse of the function f(x)= 2/3x -3/5. I know the answer is f-1(x)= -6-x ----- 3 I only need to know the solution on how it was figured out. Thank you. Click here to see answer by bucky(2189)

 Question 80372: I would like a solution to how it is done to evaluate each expression: -2+ 1n e^3. I do know the answer is 1 (from the back of my text book's answers to the problem), but the log calculator on this web site had the answer as 0 because it was needed 0 divisions to get to 1. Please explain . Click here to see answer by bucky(2189)

 Question 80404: Find a in terms of b, given that log4(a b2) = 3 Note that, in validating your answer, Maple may display your answer in a slightly different (but nevertheless equivalent) form to what you might expect. Click here to see answer by stanbon(57409)

 Question 80403: A certain radioactive isotope decays at a rate of 1% per year; 3.4 kilograms of this isotope are produced in a particular industrial process. How much remains undecayed after 22 years? Click here to see answer by stanbon(57409)

 Question 80425: Determine log5 632 to four decimal places Page 584 Chapter 10 Click here to see answer by stanbon(57409)

 Question 80417: I am require \$11,000 in two years to return to college to get an MBA degree. How much money should I ask my father for now so if I invests it at 9% interest compounded continuously, I will have enough for school? Round answer to the nearest dollar amount. Click here to see answer by stanbon(57409)

 Question 80430: Logarithm problems are so confusing to me. How would I solve, or even actually type the correct problem? I have a problem: log10^7 = log10^x - log 10^2, and am to solve for x. I am so lost. Please help me with this. Click here to see answer by stanbon(57409)

 Question 80453: Solve the equation: log x + log (x + 48) = 2 I know the answer is 2 from the answers page. I need to know how the solution was solved. Thank you. Click here to see answer by tutor_paul(490)

 Question 80458: Solve the equation: 1n x = 1n 2 + 1n (3x - 1) I know the answer is 2/5 from the answers in the back of the book. I need to know how the solution was solved. I really appreciate your help. Click here to see answer by bucky(2189)

 Question 80536: why is the logarithm of 1 with base b is 0. Click here to see answer by jim_thompson5910(28598)

 Question 80455: Solve the equation: log x + log (x + 48) = 2 I know the answer is 2 from the answers in the back of the book. I need to know how the solution was solved. Click here to see answer by ankor@dixie-net.com(15661)

 Question 80711: Hello, can you help me with the following review problem? Let logb A = 4 and log B = -3. Find logb AB. Sorry, I am terrible with this. Thanks for your help. Click here to see answer by dolly(163)

 Question 80759: Hello I have posted this before but no reply could someone please help! Describe and explain how you could use the graph of f (x) = 2^x to obtain a decimal approximation for (the square root of 2) . Click here to see answer by dolly(163)

 Question 80764: Could someone please explain and give an example on how to solve an exponential equation when both sides can be written as a power of the same base. So that I may get a better understanding.Thank you all! Click here to see answer by stanbon(57409)

 Question 80760: HELP HELP HELP!!! The formula S = C(1 + r)^t models inflation, where C = the value today, r = the annual inflation rate, and S = the inflated value t years from now. Use this formula to solve and round answer to nearest dollar amount. If the inflation rate is 3%, how much will a house now worth \$110,000 be worth in 5 years? Click here to see answer by dolly(163)

 Question 80792: Please help! Final is on Monday. Here is the problem I am stuck on: (2/5)^x = 7^1-x I came up with ln7/ln(2/5)+ln7 = 1.890 but my roomate keeps coming up with something different. Am I right? Thank you so much. Click here to see answer by jim_thompson5910(28598)

 Question 80796: Solving systems of equations using matrices: 4x + y = 7 -5x - y + z - w = 1 z+w = 7 I have z = 7 and know that w is any real number so far but am stuck solving for x and y. Help please. Click here to see answer by Edwin McCravy(8913)

 Question 80812: What is the inverse equation for f(x)=5x-5? and what is the inverse equation for y=x-6/3? Thank you Click here to see answer by stanbon(57409)

 Question 80892: ASAP HELP!(^)I use this symbol to represent exponents I have a question, if the loudness level of a sound, D, in decibels, is given by the formula D= 10 log (10^12 I) where I is the intensity of the sound, in watts per meter^2. Decibel levels range from 0, a barely audible sound, to 160, a sound resulting in a ruptured eardrum. What is the decibel level of a normal conversation, 3.2 x 10^-6 watt per meter^2? Click here to see answer by jim_thompson5910(28598)

 Question 80987: for what values of x is : 2 ln (x-1) > e^(x-4) - 2 Click here to see answer by stanbon(57409)
 Question 80987: for what values of x is : 2 ln (x-1) > e^(x-4) - 2 Click here to see answer by Edwin McCravy(8913)

 Question 81114: ^ = exponent is being used. / = represent fraction being used 9^x = 1/27 please show by expressing each side as a power of the same base and when equating exponents. 9^x = 1/27 Click here to see answer by stanbon(57409)

 Question 81111: How do you explain how to do this problem and solve, thanks. 4 In x + 7 In y – 3 In z Click here to see answer by stanbon(57409)

 Question 81116: Help with writing equation in its equivalent exponential form. 6 = log(low)2. 64 6= log2 64 (the number 2 is suppose to be in the bottom right hand corner. Click here to see answer by stanbon(57409)

 Question 81388: I am taking an online electronics course and I am stumped on decibel/logarithm section relating to amplifiers. My problems deal in power or voltage gain, and levels. Here are 2 examples that I cannot solve. (1) A power amplifier has a gain of 26dB, and an input of 1 volt. What is the voltage level? (2) An amplifier has a voltage gain of 60dB, the input is 10 microvolts, what is the output? I have a couple formulas, and I know the answers, but I can't figure out how to get the answers from the formulas. The answer to problem one is 20, and the answer to problem 2 is 10. Here are the formulas: Gain= signal out/signal in dB= 10 x log(base 10) (W out/ W in) dB= 20 x log(base 10) (V out/ V in) Output voltage= input level x gain ratio I need a very detailed expression as to how to solve these problems. I have looked in two textbooks for further explanation, but I cannot find the solutions. Thank you so much if you can help!!!! Click here to see answer by bucky(2189)

 Question 81524: I would like to know how you find the following: log 1/16 2 Click here to see answer by mathdoc316(9)

 Question 81608: A person buys a cup of coffee and drinks it in the store. The temp of the coffee y (in F degrees) is given by y=70 +137e to the power of -0.06t. t=time in minutes.a:What is the temp of the coffee when the person bought it? b:If the person will begin drinking the coffee when it reaches 180 degrees how much time must he wait after buying it? Thanks so much I am pulling my hair out Click here to see answer by stanbon(57409)

 Question 81611: How would you write and exponential function whose graph passes through (0,0.4) and (2,6.4)? Click here to see answer by stanbon(57409)

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