# 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 68046: I would like some help with this question... A=Pe^rt, where (e)is a constant and equals approximately 2.7183. We know the bank returned to us \$25,000 with the bank compounding continuously. Using logarithms, find how long we left the money in the bank (find t). Round your answer to the hundredth's place. Click here to see answer by stanbon(57387)

 Question 68752: I have two more Chapter quiz that I require assistance with in re-working the following questions: The amount A in an account after t years of an initial principle P invested at an annual rate r compounded continuously is given by A=Pert where r is expressed as a decimal. What is the amount in the account if \$500 is invested for 10 years at the annual rate of 5% compounded continuously? The amount of a radioactive tracer remaining after t days is given by A=A0 e -0.18t, where A0 is the starting amount at the beginning of the time period. How much should be acquired now to have 40 grams remaining after 3 days? Find the number log5(1/5). Solve loga(8x+5)=loga(4x+29) The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A =Pert where r is expressed as a decimal. Solve this formula for t in terms of A, P, and r. The decibel level of sound is given by D=10 log(I/10to the -12 power), where I is the sound intensity measured in watts per square meter. Find the decibel level of a whisper at an intensity of 5.4 x 10 to the power of -10 watts per square meter. Respectfully, John Click here to see answer by stanbon(57387)

 Question 69262: 23 six less 5 times a number is subtracted from 3 times the number. If the result is 12, find the number. Click here to see answer by ptaylor(2048)

 Question 69261: 22 if x represents the number of apples purchaed at 15 cents each and y represents the number of bananas purchsed at 10 cents each, which of the following represents the total value of the purchase? A)x=y B)25(x=y) C) 10x+15y D) 15x+10y Click here to see answer by checkley75(3666)

 Question 69383: if x = # of apples @15 cents each & y= # bananas @ 10 cents each what did it all cost? Click here to see answer by Edwin McCravy(8909)

 Question 69336: An initial population of 730 quail increases at an anual rate of 20 perecent write an exponential function to model the quail population Click here to see answer by funmath(2925)

 Question 69458: How do I factor, 64a^4-27a (^4=to the fourth power) Click here to see answer by Nate(3500)

 Question 69727: Exam around the corner last few problems from Chapter quiz's: Given that log(a)(x)=3.58 and log(a)(y)=4.79, find log(a)(y/x). Write the expression log(a)(y+5)+2log(a)(x+1) as one logarithm. Solve the equation 1n(x+5)-1n(3)=1n(x-3). The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days. Find the exact solution to the equation 3^x+5=9^x. The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^rt where r is expressed as a decimal. How many years will it take an initial investment of \$1,000 to grow to \$1,700 at the rate of 4.42% compounded continously? The amount of a radioactive tracer remaining after t days is given by A=A0 e^-0.058t. where A0 is the starting amount at the beginning of the time period. How many days will it take for one half of the original amount to decay? Thanks for helping me prep for my exam. Respectfully, John Click here to see answer by Nate(3500)

 Question 69725: E=K Cl F times 20.9/20.9 minus O2 K=1.194 times -7 10 Cl= 150 F= 8710 O2= 12 /= divided by We are firefighters trying to figure this equation out. Any help you can give us will be greatly appreciated. Our biggest problem is the 10 to the negative 7th power. If you can, please break it down for us. Thank you very much. Click here to see answer by stanbon(57387)

 Question 69849: Help! Submitted these problems on Monday of thsi week and haven't receieved a response. Please help studying for final exam. For the function defined by f(x)=5x-5, find a formula for f-^1(x). Solve the equation 4^2x+1=2^3x+6. Find an exponential function of the form f(x)=ba^x+c with y-intercept 2, horizontal asymptote y=2, that passes through the point P(1,4). A bacteria culture started with a count of 480 at 8:00 a.m. and after t hours is expected to grow to f(t)=480(3/2)t. Estimate the number of bacteria in the culture at noon the same day. If a piece of real estate purchased for \$75,000 in 1998 appreciates at the rate of 6% per year, then its value t years after the purchase will be f(t)=75,000(1.06^t). According to this model, by how much will the value of this piece of property increase between the years 2005 and 2008? For the function defined by f(x)=2-x^2, 0 < x, use a sketch to help find a formula for f-^1(x). The amount of a radioactive tracer remaining after t days is given by A=Ao e^-0.058t, where Ao is the starting amount at the beginning of the time period. How many days will it take for one half of the original amount to decay? Thanks everyone for helping me out. God Bless, John Click here to see answer by stanbon(57387)

 Question 70330: Solve for x: 3^2x = 12 x = ? Round to 2 decimal places. Click here to see answer by bucky(2189)

 Question 70349: This is the last of my quiz questions that I am using to prep for my final exam. For the function defined by f(x)=5x-4, find a formula for f-^1(x). Solve the equation 4^(2x)+1 = 2^(3x)+6 ? Find an exponential function of the form f(x)=ba^x+c with y-intercept 2, horizontal asymptote y=-2, that passes through the point P(1,4). Solve the equation (f o g)^-1(3)? For the function defined by f(x)=2-x^2, 0 < (underlined) x, use a sketch to help find a formula for f-^1(x). The amount of a radioactive tracer remaining after t days is given by A=Ao e^-0.058t, where Ao is the starting amount at the beginning of the time period. How many days will it take for one half of the original amount to decay? The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days. Please help! My exam is on Friday. Thanks, John Click here to see answer by Edwin McCravy(8909)

 Question 70516: write the logarithmic equation in exponential form: log 3 27 = 3 and log 125 25 = 2/3 Click here to see answer by bucky(2189)

 Question 70515: A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected? Help with this, please? Need to show steps and I'm lost completely! Thanks a million! Click here to see answer by josmiceli(9697)

 Question 70513: Any help with this would be great. Thanks so much! Maya has deposited \$600 in an account that pays 5.64% interest, compounded continuously. How long will it take for her money to double? Click here to see answer by stanbon(57387)

 Question 70530: If someone could just give me an example as to how I can solve the below? Am I suppose to enter 1,2,4,8 and 16 for x on each one? Just a detailed example of one or a few of these would help me so much. Just something to get me started. "Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing." f(x) = x^3 - 3x^2 - 2^x + 1 f(x) = e^x f(x) = 3x - 2 f(x) = log x f(x) = x^2 - 5x + 6 Click here to see answer by stanbon(57387)

 Question 70478: Help is needed. For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled. Thank you! Click here to see answer by funmath(2925)

 Question 70556: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 3i, 2-i Click here to see answer by stanbon(57387)

 Question 70715: Convert to logarithmic equations. No book. It's a worksheet. 1) 16^3/2 = 64 2) e^x = 5 Click here to see answer by stanbon(57387)

 Question 70899: Ok i cant figure this out can some one help me log5 (x3/y2) Click here to see answer by stanbon(57387)

 Question 70987: I need to solve this equation on a worksheet: log X +log (X + 2) = log 3 Thank you!!! Click here to see answer by jim_thompson5910(28598)

 Question 70986: Please help!! This equation is on a work sheet that I need to solve: log4 (X^2 - 4) - log4 (X + 2) = 2 (note : log4 is log base 4, I can't make subscripts) Click here to see answer by josmiceli(9697)

 Question 70985: This equation is on a work sheet that I need to solve: log2 (5X+7) - log2 (X) = 2 (note : log2 is log base 2, I can't make subscripts) Please help!! Click here to see answer by Earlsdon(6287)

 Question 70983: This equation is on a work sheet that I need to solve: log (X+5) - log (X-1) = log (X+2) - log (X-3) Click here to see answer by Earlsdon(6287)

 Question 71077: I have a work sheet w/ some natural logs that I need help with. e^x * e^(3x) = 4 e^9 = (e^x)^3 (1/e^9) Thank you so much! Click here to see answer by Earlsdon(6287)
 Question 71077: I have a work sheet w/ some natural logs that I need help with. e^x * e^(3x) = 4 e^9 = (e^x)^3 (1/e^9) Thank you so much! Click here to see answer by jim_thompson5910(28598)

 Question 71074: I need help. For the following problem I found no solution: 2log2 (x+6) - log2 16 = 2 heres my work: log2 x^2+36-16 = 2 x^2+20 = 2^2 x^2+20 = 4 x^2=-16 then there is no real number for the square root of -16 Click here to see answer by checkley75(3666)

 Question 71145: Two ln problems I need help with. ln 3 - (ln x + ln 6) = ln x - ln 8 ln 3 + ln 2x = 7 Please help! Thanks!! Click here to see answer by stanbon(57387)

 Question 71142: I need help with a natural log equation: 4ln x - ln 2 = ln 128 (I know the answer is 4, can you show me the steps) Thanks Click here to see answer by Earlsdon(6287)
 Question 71142: I need help with a natural log equation: 4ln x - ln 2 = ln 128 (I know the answer is 4, can you show me the steps) Thanks Click here to see answer by stanbon(57387)

 Question 71251: Help please. 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. 1. f(x) = log x Click here to see answer by Earlsdon(6287)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535