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

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

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

 Question 589320: What is the value of 4^10 x 8^20? Express your answer in the form a^b where a and b are positive integers such that a is the least possible positive integer. Click here to see answer by richwmiller(9144)

 Question 589806: Condense the expression: lnx + lny + lnx + 2lny - 2lnx - lny this is for my test preperation Click here to see answer by unlockmath(1614)

 Question 590108: Hi, I've been having trouble with logarithms, i tried to solve the problem below but i'm not sure if it's correct. ln3x-ln15=2 How i tried to solve: ln3x-ln15=2 ln3x divided by ln 15 = 2 then i crossed out ln with e divided the 15 & 3 =5x and i got x=2 over 5 e Hopefully, that made sense. Click here to see answer by Alan3354(31522)

 Question 590442: Hello, I was wondering if you could please help me evalute this logarithmic problem. I have a decent knowledge of the subject; however, I can am flustered by this problem. The instructions are "Solve the equation". 1/3(6)^(-4x)+1=6 Thank you for your time. Click here to see answer by Theo(3504)
 Question 590442: Hello, I was wondering if you could please help me evalute this logarithmic problem. I have a decent knowledge of the subject; however, I can am flustered by this problem. The instructions are "Solve the equation". 1/3(6)^(-4x)+1=6 Thank you for your time. Click here to see answer by scott8148(6628)

 Question 590584: A cell divides into 2 every hour, in a specimen of 40 cells, how many will there be after 5 hours? Click here to see answer by ankor@dixie-net.com(15746)

 Question 591071: How do you tell whether the function shows growth or decay? f(x)= 0.5(1.25)^x Click here to see answer by jim_thompson5910(28715)

 Question 591214: hi i got this question based on exponential methods i have tried but sadly not succeeding i keep getting answers that make no sense. the dacay of a radioactive substance is governed by the relationship N=N0e^ -kt for a certain substance 20% has decayed in 23 years, what is the half life of this substance and how long will it take 89% of the substance to decay ? Click here to see answer by scott8148(6628)

 Question 591282: How do you write the exponential function y=ab^x when given the points (2,24) and (3, 144) by starting with solving for (a)? Click here to see answer by scott8148(6628)

 Question 433782: Suppose that you are a mathematician for Well Oils Production ,Inc. Your company is planning to drill a well 50,000 feet deep,deeper than anyone has ever drilled before.Your part of the project is to predict the cost of drilling the well. From previous well records,you ascertain that the price is 20\$ per foot for drilling at the surface. and #30 per foot for drilling at 10,00 feet. Assume that the number of dollars per foot for drilling an oil well increases exponentially with the depth at which the drill is operating. a. White equation expressing price per foot in terms of depth. You might find it more convenient to express depth in thousands of feet. b. Predict the price per foot for drilling at depth of 20,30,40 and 50 thousand feet. c. Carefully plot the graph of the price per foot versus depth. Choose scales that make the graph occupy most of the piece of the graph paper. d. The area of the region under the graph represents the total number of dollars it costs to drill the well. You can see the reason by considering the units of this area. The vertical distance is \$/ft and the horizontal distance is ft.,so the area has units A=(dollars/foot)*feet, or simply dollars. Count the number of squares in this region on your graph. Estimate fractional squares to the nearest 0.1 unit. When you study calculus, you will learn how to calculate such areas from the equation without having to count squares. e. calculate the number of dollars corresponding to each square. For example, if the horizontal spacing is 2000 feet, and the vertical spacing is 5\$/ft, then each square corresponds to (2000)(5)=\$10000 f. Calculate the total cost of drilling the well. Click here to see answer by boptop35(1)

 Question 591782: The Pendino family bought a new house 10 years ago for \$128,500. The house is now worth \$180,000. Assuming a steady rate of exponential growth, what was the yearly rate of appreciation in %? (using y=ab^x) Work so far: 180,000=128,500b^10, then we got 1.4007=b^10. Click here to see answer by jim_thompson5910(28715)

 Question 592135: Tell whether the function shows growth or decay. Then graph f(x)=(1/4)^x Click here to see answer by saifoo.khan(162)

 Question 592246: What is the fourth term of the expansion (2x-y)to the 7th power Click here to see answer by scott8148(6628)

 Question 592770: how to solve e e^-x - X e^-x =0 ? Thanks! Click here to see answer by solver91311(17077)

 Question 593227: If my parents invested \$5000 when I was born at an interest rate of 4% for 18 years would i have enough money to pay for 4 years of college that cost \$169,208? If not, how old would I be when the balance in the account is enough to cover my college? I think I have to use A=P e ^rt but I have no idea how to figure this out. Please help me. Click here to see answer by rfer(12730)

 Question 593251: Edit: I forgot to add that college costs \$169,208 for 4 years I have to use the formula A = P e^rt where t=18, r = 4%. How old will a person be if their parents invested \$5000 when they were born at an interest rate of 4%. I'm trying to figure out what the balance in the account will be when the person is 18 to see if there is enough to pay for college. If not, then I have to figure out how old I will be when enough money is available....using logs. I don't know how to set up the problem using logs. Click here to see answer by jim_thompson5910(28715)

 Question 594089: I've solved this problem (I think)but have no way of knowing if it is correct/ Any help? Direction: Simplify each expression. Assume that all variables are positive. Question: I hope that makes sense. Whole formula is in parentheses to power of 3/4. My answer is 8x^3y^6/27. Thank you. Click here to see answer by jim_thompson5910(28715)

 Question 593988: Show work. Good morning, Please I need help with these logarithmic problems.I am a seventh grader and I have no idea what I am doing. I tried some but these are the ones I having problems with. I am totally lost and I have to turn this in tomorrow. I pray that someone can help me today with these problems. I have been trying to figure it out all weekend. Thanks alot and my God bless you. Convert to a logarithmic equation. 1.) e^5=p Write the exponential equation 2.)log base2(k)=L 3. y=(1/7)^x: The graph of y(1/7)^x is translated six units to right reflected in x-axis and the translated two units upward . Write the equation of the graph in its final position. 4.) f(x)=-1/2log(x+1)Sketch the graph of functin, state domain and range of the function. 5.f(x)=IN(x+3)Find f^-1(x) 6.xarrowinfinity under(lim 8^2x)Use a graph to fin the following limit 7. logbase3(1/9).Evaluate the expression 8. f(x)=(1/4)^4. Cive the function find f(3) 9. Find the logarithm. logbase256^(4) Click here to see answer by jsmallt9(3296)

 Question 594305: Write as a single log of a single base. 3log[e]24 - ln36 - ln16 Click here to see answer by mamiya(56)

 Question 594821: Hi there, how would I rewrite this in logarithmic form? (1/8)^2=1/64 thank you Click here to see answer by unlockmath(1614)

 Question 595232: Solve the logrithmic equation. Round answers to 2 decimal places when necessary. log 6x - 3 = - 4 Click here to see answer by jim_thompson5910(28715)

 Question 595231: Use the Change of Base Formula to evaluate the expression. Round answers to 4 decimal places. log5 510 Click here to see answer by jim_thompson5910(28715)

 Question 596074: how to solve these without a calculator?? f(x)= e^1 g(x)= ln(1) Click here to see answer by math-vortex(472)

 Question 596172: Solve 8^(x+8) = 32^x The lesson this is found is called Exponential and Logarithmic Equations I am looking for more of the steps on how to complete rather then the answer but both would be great. Thanks for your help The steps I have tried are 8 ^(x+8) = 32^x ( Original Problem) log 8^(x+8)= log 32^x (x+8) log 8 = x log 32 (log8)x +8log8 = (log 32)x 8log8 = x log 32- x log 8 8log8 = x log 24 Click here to see answer by Alan3354(31522)

 Question 596154: what is the decimal approximation of log7 988 Click here to see answer by jsmallt9(3296)

 Question 596153: how do you figure the decimal approximation of log7 988? Click here to see answer by jsmallt9(3296)