# Questions on Algebra: Logarithm answered by real tutors!

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 Question 227657: Jerry has 24 coins, all of which are either quarters and dimes. Their combined total equals \$3.75. How many coins of each does Jerry have? Click here to see answer by drj(1380)

 Question 227607: What is the relationship between the graph of y = 2x and y = 2x – 3? Click here to see answer by user_dude2008(1861)

 Question 227567: Not sure if I entered this right... Click here to see answer by user_dude2008(1861)

 Question 227695: Can you help me workout these logarithms questions: 1) 2log(5x)=10 2) log(x-2)-log(x-3)=3 3) 46+3Inx=10 4) In(x+1)=3 Click here to see answer by nerdybill(7090)

 Question 227606: Which of the following will provide a better yield. (Interest rates are annual.) Plan A: \$40,000 invested for 3 years at 4.5% compounded quarterly Plan B: \$40,000 invested for 3 years at 4.4% compounded continuously Click here to see answer by rfer(13569)

 Question 227801: HEY could you please help me answer this question? the land area in hectres (A) destroyed by a bushfire (t) hours after it started is expressed by A = 60log(250t+1) how long does it take to burn out 250 hectares? thank you viki Click here to see answer by jsmallt9(3438)
 Question 227801: HEY could you please help me answer this question? the land area in hectres (A) destroyed by a bushfire (t) hours after it started is expressed by A = 60log(250t+1) how long does it take to burn out 250 hectares? thank you viki Click here to see answer by nerdybill(7090)

 Question 227818: Solve = x. When helping me with this can someone let me know the correct way to enter this equation... Click here to see answer by nerdybill(7090)

 Question 227823: What is the relationship between the graphs of y = 2^x and x = 2^y Click here to see answer by Theo(3556)

 Question 227824: Let g(x) = 2x – 5. Is g(x) one-to-one? If it is, find a formula for its inverse Click here to see answer by Theo(3556)

 Question 227845: the difference between the simple interest and compound interest for 3 year at 5% is \$61, find the principal. Click here to see answer by josmiceli(10616)

 Question 227953: Solve for x: log2(log4(log5x))=-1 * the 2,4, and 5 are in the subscript therefore are the log, I am not sure if I should be converting to log ten first or how to start this problem. Click here to see answer by jim_thompson5910(29613)

 Question 227980: Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places. log6(0.018) Click here to see answer by Alan3354(34677)

 Question 228085: I am having a bit of difficulty understanding some basic logarithmic equations, whilst i understand the more complicated ones. I am confused in the use of brackets in the following question: log(x-6) - log2 = log(x+2) - log3 When I attempted this question I expanded the brackets so that the equation was logx - log6 = logx + log2 - log3 however when i tried to work this through, I couldnt work out the answer. It would be great to receive some help as the textbook doesn't explain the use of brackets and i have an exam in a few days! Thankyou very much for your time zfitzpatrick Click here to see answer by jsmallt9(3438)

 Question 229449: Can you solve ln(x-4) + ln(x+1) = ln (x-8) Click here to see answer by stanbon(60771)

 Question 229527: f(x) = log2(x - 3) and g(x) = log2(3x + 17). Solve f(x) + g(x) = 6. Click here to see answer by jsmallt9(3438)

 Question 229682: if you know your original investment amount (i.e. \$1000) and you know your capital doubles every 6 years, how do you determine your interest rate percentage? Click here to see answer by Edwin McCravy(9717)

 Question 229840: how od you prove log a (U/V)= log a U-log a V Click here to see answer by solver91311(18785)

 Question 229981: how do you write 2[logx+logy] as a single logarithm? Click here to see answer by Alan3354(34677)

 Question 230224: 648 in exponetial form Click here to see answer by mando271(42)

 Question 230394: 1/2 loga (X+2)+ 1/2 loga(X-1)= 2/3 loga 27 Click here to see answer by stanbon(60771)

 Question 230272: uranium-235 is used as fuel for some nuclear reactors. it has a half life of 710 million years. how long will it take 10 grams of uranium-235 to decay to 1 gram? Click here to see answer by ankor@dixie-net.com(16524)

 Question 230495: Condense the equation: Log(x)-2Log(y)+3Log(z) Click here to see answer by rapaljer(4670)

 Question 230613: My problem is: solve log(x^2+3)=log(x+6) There is no log base, so do I set the ( )= ( )? Can this be worked on a graphing calc. TI-83 plus? If so, how do I enter it. I know where the log button is and y=button. Thank you. I'm trying to learn. Click here to see answer by stanbon(60771)

 Question 230782: Please help me solve these questions step by step. (1). 3lnx+2lnx^2=6 (2). a*e^*x=k (3). y=(3^2+4^2)^-1/2 (4). the number of people N(t) that buy particular product 1/2 days after a group of 1000 people. The product is given by N(t)=1000/1+999e^0.39t, how any people buy the product after 20 days, that is t=20 How many days does it take for 800 people to buy the product and will 1000 people ever buy the product, here calculate the t. Click here to see answer by jsmallt9(3438)

 Question 230830: rewrite the expression as a single logarithm 1/2logX-logY-3logZ+1/4logP having trouble making this into a single logarithm hope you can help thanks nancy Click here to see answer by stanbon(60771)

 Question 231138: (e^x)((x^2)-1)=0 solve for X Click here to see answer by Alan3354(34677)

 Question 231097: evaluate log3 square root of 27 over 9 + log2 16 square root of 32 Click here to see answer by jsmallt9(3438)

 Question 231524: Express as a single logarithm. Multiple choice Q: logb a - logb z A)log2b a/z, the 2b is lower and smaller B)logb z/a, the b is lower and smaller C)logba/z, the b is lower and smaller D)logba-z, the b is lower and smaller I am not understanding this logarithm stuff at all.. Click here to see answer by Alan3354(34677)
 Question 231524: Express as a single logarithm. Multiple choice Q: logb a - logb z A)log2b a/z, the 2b is lower and smaller B)logb z/a, the b is lower and smaller C)logba/z, the b is lower and smaller D)logba-z, the b is lower and smaller I am not understanding this logarithm stuff at all.. Click here to see answer by solver91311(18785)

 Question 231883: using the law of logarithms how would you rewrite the following equation as one logarithm? I keep getting 0 but the answers in the back of the book is is this equivilant to 0? How did they get this answer? (those are natural log functions, I thought it would much be harder to understand if written using log form) Click here to see answer by jsmallt9(3438)

 Question 231996: evaluate the following with the help of logarithms 1. 2391 / 3072 Click here to see answer by stanbon(60771)

 Question 231980: How do I solve for x in these two problems: logx1/64=-3 and logx5^3=3? Click here to see answer by jsmallt9(3438)

 Question 232429: 3log(x,3)+1/3log(x,27)=4 find the value of x Click here to see answer by Alan3354(34677)

 Question 232440: Express as a product. Problem: log b t^8, the letter b is smaller than the word log A) 8log b t, the b is smaller than the word log B)blog8t, the number is smaller than the word log C)blog80t^8, the number 80 is smaller than the word log D)8logbt^8, the letter b is smaller than the word log Click here to see answer by solver91311(18785)

 Question 232925: Write as single logarithm loga 12 + loga 5 Click here to see answer by dpaulin(12)

 Question 232939: logx(49)=2 Click here to see answer by josmiceli(10616)

 Question 233487: How much louder is a mp3 player (100dB) to a crying baby (80dB)? Click here to see answer by stanbon(60771)

 Question 233400: 6logx45 multiply by 10 Click here to see answer by Alan3354(34677)

 Question 233589: I am really struggling to find the answer to this logarithmic equation that we have been set: 6*(3^x)+4*(3^-x)-14=0 Any help would be appreciated, Many thanks, Trevor Click here to see answer by Theo(3556)

 Question 233595: I am really struggling to find the answer to this logarithmic equation that we have been set: 6*(3^x)+4*(3^-x)-14=0 Any help would be appreciated, Many thanks, Trevor Click here to see answer by Edwin McCravy(9717)

 Question 233600: A certain type of skin wound heals according to the function given by N(t)= N0e-0.125t , where N is the number of cm2 of unhealed skin t days after the injury, and N0 is the number of cm2 of the original wound. How long, to the nearest day, will it take for 75% of the wound to heal? Please see below for further break downs N0= The 0 is slightly lower than the N -0.125t= It is squared to the N0e cm2= the 2 is squared here Click here to see answer by Theo(3556)

 Question 233958: what are the steps to finding log8 of 4? Click here to see answer by nyc_function(2741)