# Questions on Algebra: Logarithm answered by real tutors!

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 Question 691266: Hello, I was needing help on this problem.... 5^(3x-1)=17 I was trying (3x-1)ln5=17???? Not sure how to set this up properly. Click here to see answer by Alan3354(34677)

 Question 691275: Solve the equation and put the solution in exact form. log(base 9)(x-4)+ log(base 9)(x-4)=1 This is what I have done..... log(base 9) (x-4)(x-4)=1 (x-4)(x-4)=9 x^2- 4x -4x+16 x^2-8x+16=9 x^2-8x+7=0 (x-7)(x-1) X=7, X=1 Answer (7,1)??? how would I put in exact form???? Is this even correct? Thanks! Click here to see answer by josmiceli(10616)

 Question 691267: Solve the equation and express the solution in exact form... log9(x-4)+log9(x-4)=1 This is what I have done... 9=(x-4)(x-4) 9=(x^2-4x-4x+16) -9 -9 0=(x^2-8x+7) (x-7)(x-1) x=7, x=1 not sure what Iam doing wrong.... Thanks! Click here to see answer by MathTherapy(1817)

 Question 691255: Use the Laws of Logarithms to combine the expression. (They are all base ten, because they have no base listed, but you probably know that already) 5log x - (1/3)log (x^2+1) + 4log (x-1) Click here to see answer by lwsshak3(7679)

 Question 691298: g(x) = In (x-6) find the domain of the function. Click here to see answer by lwsshak3(7679)

 Question 691251: Find the domain of the function. (The 8 is supposed to be a subscript, for base 8) f(x)= log8 (x+3) Click here to see answer by lwsshak3(7679)

 Question 691065: Suppose that ln5 =S and ln11 =T. Use the properties of logarithm in terms of S and T Click here to see answer by lwsshak3(7679)

 Question 690518: Can someone assist me to express log[2](A)+log[2](B)-3log[2](C)as a single logarithm. Thank you very much! Click here to see answer by lwsshak3(7679)

 Question 691405: If log(base 3)(5) = x, find log(base 3) (25/27) in terms of x Click here to see answer by nerdybill(7090)

 Question 691408: solve log(base 9)(2x+1) - log(base 3)(x-1) = 0 Click here to see answer by MathLover1(7480)

 Question 691409: solve for x log(base 9)(to the power of 7) = 0 Click here to see answer by stanbon(60771)

 Question 691406: Given that p = log(base c)(x), express log(base c)(square root x) + log(base c)(cx) in terms of p Click here to see answer by stanbon(60771)

 Question 691049: What is the value of log(790/760).how it find Click here to see answer by stanbon(60771)

 Question 690978: Expand (Express as (+),(-),(/),(*), without using exponents logb 4root x^7b^3/y^2z^12 Click here to see answer by stanbon(60771)

 Question 691476: Solve the exponential equation algebraically. Approximate result to 3 decimal places. Click here to see answer by mouk(232)

 Question 691551: Solve the equation. e^2x - 5e^x +4 = 0 Click here to see answer by stanbon(60771)

 Question 691562: The population of a certain city was 116,000 in 1995, and the observed relative growth rate is 4% per year. a) Find a function that models the population after t years. n(t)=_______ b) Find the projected population in the year 2004. Round the answer to the nearest thousand. c) In what year will the population reach 200,000? Click here to see answer by stanbon(60771)

 Question 691584: What are the proper steps into making this problem into a single logarithm? (Assume log is base 10) 4log(x)+(1/3)log(x-2)-2log(x+1) Click here to see answer by stanbon(60771)

 Question 691579: e^(5x-1)+3=4 What are the proper steps in solving this problem? Click here to see answer by stanbon(60771)

 Question 691570: The mass m(t) remaining after t days from a 25-g sample of thorium-234 is given by m(t)=25e^(-0.0277)t a) How much of the sample will remain after 70 days? Round the answer to the nearest integer. (Answer should be in terms of grams) b) After how long will only 10g of the sample remain? Round the answer to the nearest integer. (Answer should be in terms of days) c) Find the half-life of thorium-234. Round the answer to the nearest integer. (Answer should be in terms of days) Click here to see answer by stanbon(60771)

 Question 691704: log(x+3)=2+log(x) Can this problem be solved? I do not know what to do with 2+log(x) Thank you! Click here to see answer by Alan3354(34677)
 Question 691704: log(x+3)=2+log(x) Can this problem be solved? I do not know what to do with 2+log(x) Thank you! Click here to see answer by nerdybill(7090)