# 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 251359: Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any). y = log4 (x + 2) Click here to see answer by solver91311(16877)

 Question 251355: In 1998, the population of a given country was 37 million, and the exponential growth rate was 5% per year. Find the exponential growth function. Click here to see answer by checkley77(12569)

 Question 251602: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this Log2 sqrt of x^2-4=1 Click here to see answer by dlam5(15)

 Question 251449: P₀ is invested in a savings account where interest is compounded continuously at 3.1% per year. a) Express P(t) in terms of P₀ and 0.031 b) Suppose that 1000\$ is invested, what is the balance after 1 yr? 2 yrs? c) When will an investment of 1000\$ double itself? Helpful formula: When an amount of money P₀ is invested at interest rate k, compounded continuously, interest is computed every instant and added to the original amount. The balance P(t), after t years, is given by the exponential growth model P(t)=P₀e^kt Click here to see answer by Theo(3458)

 Question 251723: Find (f ◦ g)(-1), (g ◦ f)(-1), (f ◦ g)(x), and (g ◦ f)(x) where f(x) = 3x2 - 4 and g(x) = 2x + 1. Click here to see answer by nyc_function(2733)

 Question 252075: A bacteria culture grows by the exponential model y = 200ekt. How many bacteria are there initially? If the number of bacteria triples in 2 hours, find the number of bacteria after 5 hours. Click here to see answer by drk(1908)
 Question 252075: A bacteria culture grows by the exponential model y = 200ekt. How many bacteria are there initially? If the number of bacteria triples in 2 hours, find the number of bacteria after 5 hours. Click here to see answer by MRperkins(300)

 Question 252076: Happyville and Smileytown both have a population of 10,000 people presently. Hap- pyville is increasing by 1500 people a year and Smileytown is increasing by 15% a year. a) Which town is growing faster? b) Find formulas for the populations of these towns as function of time t in years. c) Use part b) to predict the size of both towns 5 years from now. d) Find a year in which population of Happyville will be over 25000. Do the same for Smileytown. Click here to see answer by stanbon(57308)

 Question 251163: How would I solve the a natural log problem like the one below? Thank you!!! ((lnX)^2)-6 = -5lnX Click here to see answer by Theo(3458)

 Question 251122: Evaluate the exponential equation for three values of x greater than -4, three values of x smaller than -4, and at x = -4. y = 3(x + 4) Click here to see answer by checkley77(12569)

 Question 251604: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. y= (5/2)^x x= (5/2)^y Click here to see answer by drk(1908)

 Question 250697: if f(x) = 3^(2 - 3x) then the value of [f(1 + x)][f(1 - x)] is....? Thanks, please show steps and explain! Click here to see answer by drk(1908)

 Question 252917: write the equation in Logarithmic form. 1. 3^6=729 2. 125^4/3=625 Click here to see answer by drk(1908)

 Question 252925: Evaluate teh logarthm. 1. log^5 1/25 2. log^3 9 3. Write the equation log^12 8=3/5 Click here to see answer by drk(1908)

 Question 250547: if f is charater of a group G of order n then how for a belongs to G f(a)=exp(2pie i)j/n, Click here to see answer by richwmiller(9135)

 Question 253188: Finding zeros - i dont get how Function - f(x) = log 5x Function - f(x) = 6^x Can someone explain how to find the zeros please Click here to see answer by stanbon(57308)

 Question 253217: If f(x) = log2x, find f(16) 16=log 2x 2^16 =65,536 is this right Click here to see answer by drk(1908)
 Question 253217: If f(x) = log2x, find f(16) 16=log 2x 2^16 =65,536 is this right Click here to see answer by Earlsdon(6287)

 Question 253214: If f(x) = log 5x, what is f(1/5) Click here to see answer by drk(1908)

 Question 253213: solve for x log 5x - log 5 3=2 I got log 5 x/3=2 x=2/3 is this right? Click here to see answer by drk(1908)

 Question 253275: Help! When you have 3x^2*8x^6 do you multiply the 8 and 3? Like 24x^8? Also, 2^4*(2^3)^4/(2^3)^4? Click here to see answer by richwmiller(9135)

 Question 253334: Please help this is an emergancy! Solve 125^(9x-2)=150 Solve 1/16=64^(4x-3) Solve log(x+9)-logx=3 Use a graphing calculator solve 5^4x=1720 by grpaing. Round to the nearest Hundreth if neccesary. Click here to see answer by palanisamy(496)

 Question 253327: Solve 125^(9x-2)=150 Solve 1/16=64^(4x-3) Solve log(x+9)-logx=3 Use a graphing calculator solve 5^4x=1720 by grpaing. Round to the nearest Hundreth if neccesary. Click here to see answer by hokies(65)

 Question 253359: what is the solution of the equation e^xe^2x=4? Click here to see answer by stanbon(57308)

 Question 253385: The Wongs bought a new house three years ago for \$92000. The house is now worth about \$113,000. Assuming a steady annual percentage growth rate, approximately what was the yearly rate of appreciation? Click here to see answer by richwmiller(9135)

 Question 253615: 4^square root of 2 * 4^2square root of 2 ive gotten this far: (2^2)^square root of 2 * (2^2)2square root of 2 i am supposed to simplify this expression but unfortunately my teacher ran out of time and we had little time to review this...any help would be greatly appreciated! Click here to see answer by jim_thompson5910(28593)
 Question 253615: 4^square root of 2 * 4^2square root of 2 ive gotten this far: (2^2)^square root of 2 * (2^2)2square root of 2 i am supposed to simplify this expression but unfortunately my teacher ran out of time and we had little time to review this...any help would be greatly appreciated! Click here to see answer by stanbon(57308)

 Question 253646: HOW DO YOU FIND A QUADRATIC FUNCTION'S MAXIMUM VALUE OR MINIMUM VALUE WHEN THE FUNCTION IS GIVEN IN INTERCEPT FORM? Click here to see answer by stanbon(57308)

 Question 253671: im sorry about the format...there is no square root symbol. any help would be greatly appreciated. i get how to do multiplication, but i am stuck on division, thank you!!! Click here to see answer by jim_thompson5910(28593)

 Question 253672: i am very confused as to how to do this problem, any explanation would be very helpful, thank you Click here to see answer by edjones(7569)

 Question 253735: a research biologist began to grow a culture in which the number of bacteria doubled every day. three days later, she began a second culture in a richer medium so that the number of bacteria increased fourfold everyday. If each culture was begun with the same number of bacteria present, how many days after starting the second culture with the number of bacteria in the two cultures be equal? Click here to see answer by richwmiller(9135)