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

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 681207: simplify
10,000^(-3/4)
negative three fourths is all up. 10,000 to the negative three fourths power
Click here to see answer by ReadingBoosters(3246)

Question 681374:
Click here to see answer by edjones(8007)

Question 681751: The half-life of a certain radioactive material is 42 days. An initial amount of the material has a mass of 49 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 8 days. Round your answer to the nearest thousandth.
Click here to see answer by ankor@dixie-net.com(22740)

Question 681896: Use the graph of y = e^x to evaluate e^1.6 to four decimal places
Click here to see answer by Alan3354(69443)

Question 681881: Graph the function y=4(1/6)^x+2 ((x+2) is the entire exponent.)
Click here to see answer by jim_thompson5910(35256)

Question 681880: Graph the function y=5(1/2)^x+4.
Click here to see answer by jim_thompson5910(35256)

Question 681988: Find the exponential function for the graph. Round to 2 decimal places where needed.
(-2,6.25) (0,1)
Click here to see answer by stanbon(75887)

Question 682451: Please help. I need to solve this equation for t and I have no clue on how to do it. If you could please show the steps I would appreciate it very much.
(a)/(1+be^-kt)= (a/2)
This equation is asking for the time t at which the population size will be equal to half of its maximum (a/2). I need to solve for t.
Click here to see answer by mananth(16946)

Question 682657: Graph the exponential function: y=3^x
Click here to see answer by Alan3354(69443)

Question 682658: Graph the exponential function: y=2(4.5)^x
Click here to see answer by Alan3354(69443)

Question 682659: Graph the function y=4(1/5)^x
Click here to see answer by Alan3354(69443)

Question 682704: How do i solve 4e^2x-5=3
Click here to see answer by Alan3354(69443)

Question 682712: How do i solve 4e^(2x)-5=3
Click here to see answer by lynnlo(4176)

Question 682812: Can you show me step by step how to solve 4-ln(5-x)=5/2

Click here to see answer by lwsshak3(11628)

Question 683689: Can someone help me solve the exponential equation, please?
9^8x = 27
Click here to see answer by Alan3354(69443)

Question 684285: Can k^3z x c^-5z be simplified
Thank you
Click here to see answer by MathLover1(20850)

Question 684278: Hello,
The population P of mice after t years is modeled by the function P(t)= 1200/1 +99e^-0.4t
a-what was the initial population of mice
b-when will there be 1000 mice
c-what is the carring capacity for the mice population

Click here to see answer by MathLover1(20850)

Question 684410: Please help me solve this equation:

Click here to see answer by MathTherapy(10552)

Question 684532: how can I solve log3.8
Click here to see answer by Alan3354(69443)

Question 685211: Solve the equation 2^(2x) - 2^(x+1)-15=0

Find the domain f(x) = log((log((x-1))))
Click here to see answer by pmatei(79)

Question 685572: log5(x+7)+log5(x-7)=2
Click here to see answer by josmiceli(19441)

Question 685807:
I've been stuck on this for days and it's really holding back my graduation date.
The half-life of a certain radioactive particle is 1270 years. How many grams will remain after 750 years if the initial amount was 25 grams?
Click here to see answer by MathTherapy(10552)

Question 685808: Solve the following exponential equation. Exact answers only.
49^x-12*7^x=-36
I have tried and tried on this problem. I do not understand. I would appreciate help on this! Thank you!
Click here to see answer by lwsshak3(11628)

Question 685967: Use the graph of y = e^x to evaluate e^1.6 to four decimal places.
Click here to see answer by MathLover1(20850)

Question 686415: Write the equation in logarithmic form.
4^7= 16384
Click here to see answer by MathLover1(20850)

Question 686541: how do you solve f(x) divided by g(x)
when f(x) = x-8 and g(x) = 4x+9
Click here to see answer by stanbon(75887)

Question 686857: Write the expression as a single logarithm.
log3 40 � log3 10
Thanks!(:
Click here to see answer by jim_thompson5910(35256)

Question 686858: Solve the exponential equation.
1/16= 64^4x � 3 (4x-3 is the entire exponent)
Thank-you!
Click here to see answer by jim_thompson5910(35256)

Question 686851: 3^(2.4)
Click here to see answer by jim_thompson5910(35256)

Question 687216: How do I write an exponential equation describing the given population at any time? The initial population is 200 and the doubling time is 5 months
Click here to see answer by jim_thompson5910(35256)

Question 687527: I would like to double check my answer.
How long will it take $1400 to double at 12% annual interest compounded quarterly?
The answer I get is 5.9 years. I rounded to 5.9 because my calculation came out to 5.862. My practice book gives me the options of 5.9,5.8,4.1,and 4.2.
Am I correct?
Click here to see answer by MathTherapy(10552)

Question 687528: Find the accumulated value of a CD of $20000 for 3 years at an interest of 3.1% if the money is compounded continously. My answer was $21,949, am I correct?
Click here to see answer by MathTherapy(10552)

Question 687588: Why is it necessary to check the possible solutions when the principle of powers is used to solve an equation?
Click here to see answer by Edwin McCravy(20059)

Question 687700: 36=b^2/5
Click here to see answer by josh_jordan(263)

Question 688044: 1/5log(x)=1 how do i solve for x?
450=4.5(10)^6x how do i solve this?
1/3*log(x)=2 how do i solve this?
Click here to see answer by stanbon(75887)

Question 688302: log4(2x-6) = 3
Im sure how to start this I thought that i had to use 4^ on both sides but i wasnt sure
Click here to see answer by jim_thompson5910(35256)

Question 688356: Please solve for q
3^q = -27
Click here to see answer by Alan3354(69443)

Question 688575: Graph f(x)=
I need the Domain and Range to draw my graph.
Click here to see answer by jim_thompson5910(35256)

Question 688578: Graph f(x)= (1/2)^-x
I need the Domain and Range to draw my graph.
Click here to see answer by jim_thompson5910(35256)

Question 688765: Write in expanded form.
Click here to see answer by MathLover1(20850)

Question 688703: Radioactive strontium-90 is used in nuclear reactors and decays according to A=Pe^-0.0248t where A is the amount remaining after t years. Find the time required for strontium-90 to decay to 1/10 of the quantity present now?

Click here to see answer by ankor@dixie-net.com(22740)

Question 688946: write an exponential function of the form y=ab^x whose graph passes through the given points. (3,13.5) (5,30.375)
Click here to see answer by solver91311(24713)

Question 688702: Suppose that 5g of a radioactive substance decrease to 4g in 30 seconds . How long does it take for 3/5 of the substance to decay?
Click here to see answer by ankor@dixie-net.com(22740)

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, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910