# Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 39439: I need this for work ASAP. What is the derivative I need this for work ASAP. What is the derivative d/dx( f(x) ^ g(x) ) where ^ is the sign of EXPONENTIATION and f and g are function of x. Please NOTE AGAIN that I am not talking about a compound function, I am talking about one function taken TO THE DEGREE of another. thanks Click here to see answer by astromathman(21)

 Question 39504: Hello! I need help on this one math problem. It seems complicated but I know that it is easier than it looks. Please, if you can , help me!! Problem: Solve for x Verify your result by checking that it approximately satisfies the original equation. 2^4x+5=17 log(2^4x+5)=log17 4x+5log2=log17 And that's where I stopped because I have NO IDEA what to do next!! HELP MEEEEEEEEEEEE!! Click here to see answer by AnlytcPhil(1278)

 Question 39672: the volume of a sphere can be fiven by the formula V=4.18879rcubed. You have to design a spherical container that will hold a volume of 75 cubic inches. What should the radius be? Click here to see answer by checkley71(8403)

 Question 39666: I can not figure out for the life of me how to do this. I have tried so many times, please, HELP. Solve: 3log(5x)+4log(2x)=3 log(125x^3)+log(16x^4)=3 Have I done it right so far? For some reason it seems wrong.Please help me!! Click here to see answer by Earlsdon(6287)

 Question 39671: The volume of a spehere can be given by the formula V=4.18879rcubed Click here to see answer by fractalier(2101)

 Question 39873: Hello Math Wizards! I have the answer to the ff: problems but I want to confirm that my answer is correct. Find the center, vertices and foci of the ellipse given by each equation.Sketch the graph. 1. x^2/49 + y^2/36 =1 2. ( x + 3 )^2/9 + ( y - 2)^2/16 = 1 Thanks, Jo Click here to see answer by stanbon(57399)

 Question 39980: I am supposed to write the following expression as one logarithm. 2logx+ 1/3log(x+2)-4log(x-3) Click here to see answer by Nate(3500)

 Question 40021: y=a^x I forget how to even start this. Let alone complete this. Click here to see answer by longjonsilver(2297)

 Question 40052: Use the distributive property to remove the parentheses in the following expression. Then simplify your result if possible. 1/4 (20+16) Click here to see answer by fractalier(2101)

 Question 40039: Please help me with these three problems. 1. Find the solution to the equation log(x)8=1/3. 2. Find the approximate solution to the equation 3(1.5^x)+10=280. 3. Find the solution to the equation 2 log(a)3 + log(a)(x-4)= log(a)(x+8). () below the log Thank you very much. Chris Click here to see answer by fractalier(2101)

 Question 40433: the direction is to simplify the expressions using the inverse relationship between logarithms and exponents ll^log11x ln^ex e^lnx Click here to see answer by stanbon(57399)

 Question 40754: I desperately need help with these few questions. This is a take home test that needs to be done by tommorow. 1. The number of bacteria present in a culture is B=10e^1923t where t is the time in minutes. Find the time required, to the nearest half minute, to have 3200 bacteria present. 12. log(5x-1)=2+log(x-2) 13. log(x^3)=(logx)^2 Thank you Very Much, Art Click here to see answer by stanbon(57399)

 Question 38872: i know its already solved but i need to know how to prove it 6log base 6^(3x-1)= (3x-1) thanks a bunch! Click here to see answer by DavidChandler(2)

 Question 35346: If log8 (little 8)M= log5 (little 5)7/log5(little 5)8, then M = ? Click here to see answer by DavidChandler(2)

 Question 36187: how do you solve this problem : 2e and then in the exponent log base 3 (x +2) = 14? Click here to see answer by astromathman(21)

 Question 40824: how do you solve this system of equation: x^2+y^2=36 x+y=4 Click here to see answer by fractalier(2101)

 Question 40823: how do you solve this system of equation: y=-2x^2+8x+27 2x+y=15 Click here to see answer by zeynep(43)

 Question 41270: Hi I have been trying to figure out the steps in the equation of 4x+3=2x10^-4 I just need a little refresher if possible. this is a sample equation. Thanks! Click here to see answer by psbhowmick(529)

 Question 41370: If log (base of 3) 8=1.8928 and log (base of 3) 2=0.6309, what is the value of log (base of 3) 16? Click here to see answer by venugopalramana(3286)

 Question 41642: The directions for the problem is "Solve each equation for x to three significant digits” the problem is . I tried changing it to but I couldn’t find anywhere to go after that. I would appreciate if you could help me figure this one out. Please and thanks! Click here to see answer by fractalier(2101)

 Question 42238: Find the domain and range of the function: y=1/2(2)^x. Click here to see answer by fractalier(2101)

 Question 42251: Write the equation log(243) 81=4/5 in exponential form. Click here to see answer by fractalier(2101)

 Question 42266: At a town with a large convention center, the cost of a hotel room has increased 5.1% annually. If the average hotel room cost \$48.00 in 1980 and this growth continues, what will an average hotel room cost in 2012? Use y=a(1+r)^t and round to the nearest cent. Click here to see answer by fractalier(2101)

 Question 42265: A particular compound decays according to the equation y=ae^(-0.974t), where t is in days. Find the half-life of this compound. Click here to see answer by fractalier(2101)