# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 561185: Suppose the supply of x units of a product at price p dollars per unit is given by p=10+5ln(3x+1). How many units would be supplied when the price is \$50 each? Click here to see answer by josmiceli(9674)

 Question 561526: Can you help me with graphing this equation? y = e^-3x Click here to see answer by lwsshak3(6498)

 Question 561221: log((x+3)(x-8))+ log((x+3)\(x-8)) = 2 I tried but i cannot solve this equation, whose solution is suppose to be x=-13 Click here to see answer by lwsshak3(6498)

 Question 561856: Solve the following expression to find the unknown value: I have been struggling on this for about an hour with no success. So far i have been attempting to re-arrange the expression, but always hit a dead end. Click here to see answer by lwsshak3(6498)

 Question 561752: Log81 + log16 over 2log3 - log1/4 Answer is 2 but I can't get the steps right Click here to see answer by lwsshak3(6498)

 Question 561251: 4^x + 6(4^-x)= 5 slove for x Im not sure how to do this question? would i get two answers for x ?? and can u place a = 4^x to make it easier? Click here to see answer by lwsshak3(6498)

 Question 562699: Find exact solution to the equation Math teacher said answer was x=-4, but he didn't have time to explain how he got to that answer. Equation: 10-log5^(x+9)=9 Click here to see answer by lwsshak3(6498)

 Question 562605: Solve for x: 3log(base 2)x - 2log(base 2)5x=2 Click here to see answer by lwsshak3(6498)

 Question 562946: In a logarithm, why would you let it equal 1, for example, log(8)4=1 , rather than having it equal 1/2 ? I just want to understand logarithms a little bit more. Thank you Click here to see answer by richard1234(5390)

 Question 563456: I need help solving for x in this logrithm: Log(11x + 9) = 3 + log(x + 3) First I moved both logs to the same side: Log(11x + 9) - log(x + 3) = 3 Then I divided the logs in order to condense the equation: Log (11x + 9)/(x + 3) = 3 Next I switched the equation from log form to expodential form: 10^3 = (11x + 9)/(x + 3) Then I distributed the exponent to the 10 and multiplied (x + 3) to both sides: 1,000(x + 3) =(11x +9) 1,000x + 3,000 = 11x + 9 Then I put the x's on the same side & all whole numbers: 989x = -2991 Then I divided to find x: X = -2991/989; x = -3.024266936. Now I realize I did something wrong to come up with this answer so could you please help me? Click here to see answer by richard1234(5390)

 Question 563501: What is the product of 6^-4 • 6^7 using positive exponents?It will be 2^3=216 Click here to see answer by Maths68(1474)
 Question 563501: What is the product of 6^-4 • 6^7 using positive exponents?It will be 2^3=216 Click here to see answer by gdebata(1)

 Question 563854: I really need help solving this logarithm: 1/3log(subscritpt 4) x = log(sub 4) 4 First I moved the 1/3 and made it an exponent & simplified the other log: Log(sub4) x^1/3 = 1 Then I switched the equation from a log to exponential form: 4^1 = x^1/3 Next I cube rooted both sides: 1.5874 = x Now when I plugged x back into the equation the sides were not equal. Can someone please tell me what I am doing wrong? Click here to see answer by Alan3354(30993)

 Question 563902: Hi, Am stuck in solving the problem 3^x=2; 2^y=3 ; 5^z=3 then solve xyz=1 3^x=2 =>x=log base3 2 2^y=3 =>y=log base2 3 5^z=3 =>z=log base5 3 xyz= log base3 2 X log base2 3 x log base5 3 =>1xlog base5 3 =>log base5 3 Kindly guide me to proceed. Regards, AN Click here to see answer by stanbon(57337)

 Question 563657: use natural logarithms to solve the equation 7 (3^z) = 19 (15^z) for z (three decimal places) Click here to see answer by ankor@dixie-net.com(15650)

 Question 563867: y=2^x/2-4 indicate the x-intercept and y-intercept. thank you. Click here to see answer by KMST(1868)

 Question 563953: I need hep solving: (1/3)^x+1 = 9^x I made the bases the same: 9^-2(x+1) = 9^x Then I set the exponents as an equation: 2x + 2 = x 2 = -x X = -2 When I checked the back of my book for the answer I saw it was -1/3 and I don't how to get it. Click here to see answer by TutorDelphia(193)

 Question 564027: Select all statements that are true ln logb (N), the exponent is N. Log (500) is the exponent on 10 that gives 500. If log1.5 (8) = x, then x^1.5= 8 logb (A) = logb (A-B) _____________________ logb (B) If 2 log3 (81) = 8, then log3 (81) = 4 Click here to see answer by stanbon(57337)

 Question 563994: How would I solve the following logarithm? 2^x + 1 = 3^x - 4 Click here to see answer by Alan3354(30993)

 Question 564400: solve the equations by finding the exact solution ¼x-3=3 Click here to see answer by Alan3354(30993)

 Question 564552: SOLVE. Log4(log3(log2 x))=0 the 4, 3, and 2 are bases Click here to see answer by Alan3354(30993)

 Question 564764: how to find the logarithm of each using log2=.30,log3=.48 and log 7=.85 log 21 log3^5 log 10.5 Click here to see answer by stanbon(57337)

 Question 564703: The half-life of 234U, uranium-234, is 2.52 105 yr. If 97.4% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed? Click here to see answer by ad_alta(240)

 Question 565397: Every £1 of money invested in a savings scheme continuously gains interest at a rate of 4% per year. Hence, after x years, the total value of an initial£1 investment is £y, where y = 1.04^x. (a) Calculate, to the nearest £, the total value of an initial £800 investment after 10 years ? (b) Use logarithms to find the number of years it takes to double the total value of any initial investment ? Click here to see answer by stanbon(57337)

 Question 565317: How do I solve: Log x + log (13 -3x) = 1 (Bases are 10) Click here to see answer by scott8148(6628)

 Question 565756: what is the answer to { { { log(z-3)=2? } } } Do you bring the 3 out first? Click here to see answer by unlockmath(1599)

 Question 565979: Solve the simultaneous equations : logbase2(x) + logbase8(y) = -1 logbase4(x) + logbase2(y) = 2 Cannot solve, spent hours on it Any help would be appreciated Click here to see answer by lwsshak3(6498)

 Question 565998: Topic : Surds Rationalise the denominator and simplify the following surd 3sqrt5 + 2 ------------- 2sqrt5 - 4 Click here to see answer by ad_alta(240)

 Question 565992: Topic : Differentiation (Q) The line (l) is the tangent, at the point (2,3), to the curve with equation y = a + bx^2, where a and b are constants. The tangent (l) has gradient 8. Find the values of a and b ? Click here to see answer by htmentor(789)