# 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 172528: if log base a of x equals c and log base b of x equals c, what is log base ab of x equal to? Click here to see answer by Alan3354(30992)

 Question 172663: True or false: The function "f(x) = 3^x" grows three times faster than the function "g(x) = x". Explain Click here to see answer by jim_thompson5910(28536)

 Question 172703: if "b" is an integer and 3.2.*10(to the "b" power) is a number between 500 and 5,000, what is the value of "b"? Click here to see answer by solver91311(16872)

 Question 172875: 1/3 log 5 12x=2 solve equation and find extaneous solutions Click here to see answer by Alan3354(30992)

 Question 173000: How do I evaluate the functions for the values of x given as 1, 2, 4, 8, and 16 and then describe the differences in the rate at which each function changes with increasing values of x? This is like totally a different language for me, please help!!!! 1. f(x) = 5x - 3 2. f(x) = x2 - 3x + 2 3. f(x) = 2x3 + 7x2 - x - 1 4. f(x) = 10x 5. f(x) = ln x Click here to see answer by stanbon(57277)

 Question 172999: For the exponential function e^x and logarithmic function log x, graphically show the effect if x is doubled, can someone help me with the problem, I do not understand what they are asking. Thank you!!! Click here to see answer by stanbon(57277)
 Question 172999: For the exponential function e^x and logarithmic function log x, graphically show the effect if x is doubled, can someone help me with the problem, I do not understand what they are asking. Thank you!!! Click here to see answer by gonzo(654)

 Question 173045: Please explain how to work this problem: log of(x+1), base 2 plus 2 times the log of(x-1), base 4 equals 3 Click here to see answer by gonzo(654)

 Question 173141: if the number of bacteria in a culture is given by the following equation and the number of bacteria that exist after 1 hour is 825, how many exist after 10 hours? N(t)=195e^kt Click here to see answer by stanbon(57277)

 Question 173139: a chunk of radioactive material decays from a mass of 450 grams to 165 grams in two weeks,(14 days). find the half life time and the amount of material left after 70 days Click here to see answer by Edwin McCravy(8889)

 Question 173161: How do you simplify fractions? Please help me. I am home taught and my parents have no idea what algebra even is, and told me to teach myself. So i am. I dont understand simplyfying problems. I can do two to the power of whatever and I'm good at it, but i cant grasp simplifying. BYE Click here to see answer by tutorcecilia(2152)

 Question 173246: the thickness of a brand of paper is about 0.000 000 05 cm.How many pieces of paper are there in a 30 cm stack? Click here to see answer by Alan3354(30992)

 Question 173243: the thickness of a brand of paper is about 0.000 000 05 cm.How many pieces of paper are there in a 30 cm stack? Click here to see answer by Mathtut(3670)

 Question 173599: 2. True or false: The function "f(x) = 3^x" grows three times faster than the function "g(x) = x". Explain. Click here to see answer by Alan3354(30992)

 Question 173767: how do you find the inverse function of y=log(-2x) Click here to see answer by Mathtut(3670)

 Question 173796: I am having trouble getting these two. Can someone please help me...please..Thank you..Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. 3.f(x) = 2x3 + 7x2 - x - 1 5.f(x) = ln x Click here to see answer by stanbon(57277)

 Question 173904: My question is did I do this one correctly? if so..i am having trouble graphing this..can someone help me? Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. 4. f(x) = 10x f(1)= 10^1= 10 f(2)= 10^2 = 100 f(4)= 10^4 = 10000 f(8) = 10^8 = 100000000 f(16) = 10^16 = 10000000000000000 Click here to see answer by stanbon(57277)
 Question 173904: My question is did I do this one correctly? if so..i am having trouble graphing this..can someone help me? Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. 4. f(x) = 10x f(1)= 10^1= 10 f(2)= 10^2 = 100 f(4)= 10^4 = 10000 f(8) = 10^8 = 100000000 f(16) = 10^16 = 10000000000000000 Click here to see answer by josmiceli(9664)

 Question 174140: Function e^x and logarithmic function logx, graphically show the effect of x is doubled? I think it starts out like this: f(x) = e^x f(x) = e^(2x) Click here to see answer by solver91311(16872)

 Question 174032: Can someone help me graph this please? I have the hardest time with graphing. I can usually figure the problem out, but the graphing is where I struggle. Thank you so much. Exponential function: Logarithmic function: f(x)=y=b^x f^-1*(x)=y=logbx now if b=4 the vertical line is y=4^x and the horizontal line is f(x)=log4x Click here to see answer by gonzo(654)

 Question 173795: I am having trouble getting these two. Can someone please help me...please..Thank you..Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. 3.f(x) = 2x3 + 7x2 - x - 1 5.f(x) = ln x Click here to see answer by solver91311(16872)

 Question 173667: Can someone help me graph these equations,the questions are solved already. I just need to graph them, your help will be greatly appreciated. · An exponential function y = p*(1 + r)^x (P and r are constants) · A logarithmic function y = ln(x) x = 5 is linear, x + y = 9, a linear equation with two variables x^2 - 4x + 3: Polynomial of three terms Click here to see answer by midwood_trail(310)

 Question 175493: Assume that the population of the United States is increasing exponentially with time. The 1970 census showed that the population was about 203 million. the 1980 census showed that the population had grown to about 226 million. a. Find the particular equation expressing population in terms of the number of years that have elapsed since 1970. b. Use your equation to predict the population this year. c. Predict the year in which the population will reach 400 million. Click here to see answer by Mathtut(3670)

 Question 175674: square root(x+8) = square root(2x+7)-5 this is what i've gotten so far. 1. (x+8)=2x+32-10squareroot(2x+7) 2. -x-24=-10squareroot(2x-7) 3. x^2 - 200x -124=0 4. quadratic equation outcomes are 200.6180898 and -.6180898248. is that right? Click here to see answer by stanbon(57277)

 Question 176085: solve each system using the substution method. 2x+2y=7 and 4x+3y=-1 Click here to see answer by ankor@dixie-net.com(15643)

 Question 176794: Find the value of y: y^2 + 7y + 12 = 0 (squaring is allowed [the check mark roofing a number], fraction is allowed [only in the simplest form], and imaginary is allowed [if necessary]) Click here to see answer by Alan3354(30992)

 Question 176826: Thank you in advance for helping me with this problem. (4^x)(16^3x-1)=8 This is what I have done. (2^2x)(2^4(3x-1))=2^3 in the end I got 2/7??? am I on the right track? thanks for your help. Click here to see answer by Earlsdon(6287)

 Question 176824: Thank you in advance for helping me double check this problem. 27^4x=9^x+1 this is what I got...1/10???? Click here to see answer by jim_thompson5910(28536)