# 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 83723: Hello: I am trying to answer the following math problem, but I do not know where to start: The number of bacteria in a dish has tripled every month. If there were 2500 bacteria at first, how many bacteria were there 10 months later. I have tried to answer this problem a couple ways: using A=p^rt and by creating an equation. However, I am just not sure. Please give me some guidance. Thank you LK Click here to see answer by stanbon(57347)

 Question 83814: ln (xsquared + 3x + 4) = ln 2 Click here to see answer by stanbon(57347)

 Question 83812: log (-x) + log (3) = log (2x-15) I got an answer of 5 but I am not sure if that is correct. Click here to see answer by Edwin McCravy(8909)

 Question 83813: ln (x+5) - ln (x-1) = ln (3) Click here to see answer by stanbon(57347)

 Question 83893: You invested \$700.00 compounded continously. After 20 years you had \$2838.64. What was the interest rate? Click here to see answer by Nate(3500)
 Question 83893: You invested \$700.00 compounded continously. After 20 years you had \$2838.64. What was the interest rate? Click here to see answer by stanbon(57347)

 Question 83897: Evaluate: 7 ^ ( x + 3 ) = 48 Click here to see answer by Nate(3500)
 Question 83897: Evaluate: 7 ^ ( x + 3 ) = 48 Click here to see answer by stanbon(57347)

 Question 83896: Evaluate: log ( 7x - 4 ) = 3 Click here to see answer by Nate(3500)
 Question 83896: Evaluate: log ( 7x - 4 ) = 3 Click here to see answer by stanbon(57347)

 Question 83895: The population of the United States in 1994 was about 260 million, and the population was about 277 million in 2003. Find the growth rate in the United States and write an exponential function describing this situation. What was the projected percent of increase annually? The population was/will be 1 billion in what year? Click here to see answer by stanbon(57347)

 Question 83892: You inveast 17,000 at 4.5% interest, compounded monthly. How much money will you have after 5 years? Click here to see answer by jim_thompson5910(28595)

 Question 79493: 5x^2/3=16 solve for x to 3 significant digits Click here to see answer by ryanman(19)

 Question 84106: i need to find the inverse of these relations: (-3,6),(2,1),(0,-7),(-8,-1) the book said for me to take the first two sets of equations and interchange them, what exactly does that mean? Click here to see answer by stanbon(57347)

 Question 84105: this is my problem: let f(x)=5/x^2 and g(x)=6x=1 now it says to find (f 0 g)(x) and to find the domain of these my first instinct is to multiply the two equations together and the domain is the x value of the answer, is this the correct procedure? if it isnt will someone please lay out the steps for solving it for me Click here to see answer by stanbon(57347)

 Question 84114: help please I'll owe u big time if you can help me with this....THANK YOU Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following: a) What is r, the ratio between 2 consecutive terms? Answer: Show work in this space. b) Using the formula for the nth term of a geometric sequence, what is the 24th term? Answer: Show work in this space. c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms? Answer: Show work in this space Click here to see answer by venugopalramana(3286)

 Question 84160: what does it mean to express in terms of sums and defferences of logartithms? Click here to see answer by Edwin McCravy(8909)

 Question 84159: i need to solve this equation: 5^3x+4=4^2-x it would help if someone could show me the steps to it please Click here to see answer by ankor@dixie-net.com(15652)

 Question 84233: what does it mean to simplify? log base5 25/log base5 625 Click here to see answer by abbeysin(2)

 Question 84196: i need to know: when the problem is log base2 X + log base2 (X + 7) = 3 doesnt that need to be rewritten and then solved? Click here to see answer by venugopalramana(3286)

 Question 84376: help! i cant figure out what the book wants me to do: find the formula fort he inverse of the function f(x)=3-6x Click here to see answer by Edwin McCravy(8909)

 Question 84503: write the equation of the line having x-intercept -2/5 and y-intercepts 5/8 Click here to see answer by checkley75(3666)