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 770851: $16000 to grow to $16733.64 @ 3% compounded quarterly.
16733.64=16000(1+.03/4)^4t
16733.64=16000(1.0075)^4t
1.05=(1.0075)^4t
log(1.05)=4tlog(1.0075)
log(1.05)/4log(1.0075)
I keep getting t=1.6 however the book is saying its t=1.5?
Click here to see answer by solver91311(24713)

Question 770900: How do i solve this exponential function.
2^6-3x=8^x+1
Click here to see answer by Edwin McCravy(20059)

Question 771260: A certain radioactive substance decays according to the
formula m(t) = 70e^−0.062t, where m represents the mass
in grams that remains after t years.
(a) Find the initial mass of the substance.
(b) What percent of mass remains after 15 years?
I will really appreciate your help... Thank you!
Click here to see answer by oscargut(2103)

Question 771379: Are the functions f(x) = ln x^2 and g(x) = 2 ln x equal?
Justify.
I'm a bit confused and don't know if it is just the same with the "log".. Please help me. Thanks a lot!!!
Click here to see answer by oscargut(2103)

Question 771313: 8/(x+6) + 1/(3x+18) - 14/(4x+24) = 0
What is your LCM? (factors in parentheses, any order):
Excluded solutions (lesser to greater, commas between):
Click here to see answer by josgarithmetic(39620)

Question 771391: Express ln 8 as a logarithm with base 2.
How will I do this? Thank you for those who will help me.
Click here to see answer by Alan3354(69443)

Question 771760: Please help me simplify 1/x+h-1/x

Click here to see answer by tommyt3rd(5050)

Question 771793: please help me rewrite this expression with positive exponents:
Click here to see answer by tommyt3rd(5050)

Question 771771: write (-1,8) and (1,2) into Exponentiation form ( y=a* b^x)
Click here to see answer by MathLover1(20850)

Question 771947: how do you solve for y in this equation: lny= X+ 2
do you just divide ln over?: y=x+2/ln
Click here to see answer by oscargut(2103)

Question 771947: how do you solve for y in this equation: lny= X+ 2
do you just divide ln over?: y=x+2/ln
Click here to see answer by Edwin McCravy(20059)

Question 771950: find each using: f(x)= x^2+ 3x+ 1 and g(x)= 1/(x+4)
A) f(g(x)
B) f(x+h)
Click here to see answer by oscargut(2103)

Question 771952: how do you solve fore y?
lny+ ln3=x-1

Click here to see answer by oscargut(2103)

Question 771965: Please help me rewrite the expression with positive exponents:
Click here to see answer by MathLover1(20850)

Question 771968: Please help me rewrite the expression with positive exponents:
Click here to see answer by MathLover1(20850)

Question 771966: Please help me rewrite the expression with positive exponents:
Click here to see answer by MathLover1(20850)

Question 771992: please help me evaluate the exponential expression and write the fraction in simplest form:
Click here to see answer by Alan3354(69443)

Question 771993: please help me evaluate the exponential expression and write the fraction in simplest form:
Click here to see answer by Alan3354(69443)

Question 771997: please help me evaluate the exponential expression and write the fraction in simplest form:
Click here to see answer by Alan3354(69443)

Question 772096: The number of bacteria in a culture is given by b(t) = 1400e^0.25t, where t is measured in hours. After how many hours will the number of bacteria in the culture be three times that of the initial number of bacteria?
Click here to see answer by Cromlix(4381)

Question 754658: What is the parent function for an exponential function, and what are the translated forms?
Click here to see answer by tommyt3rd(5050)

Question 767406: n = 2*10^(3 t). When t=0.104, find n.
Click here to see answer by tommyt3rd(5050)

Question 768889: can you help me solve this
Find the full equation, in factored form, that passes thru the points (-3, 0), (-2, -1), (-1, 0), (1, 0). Stretch factor (reduced fraction)??????
Click here to see answer by tommyt3rd(5050)

Question 772434: 4 < sqrt x < 9
Click here to see answer by MathLover1(20850)

Question 772608: 19.) Solve for x algebraically.
ln(2x+3)-ln(x-5)= 2
Here's what i have started.
ln(2x+3)/(x-5)=2
I'm not sure where to go past here.
Click here to see answer by Alan3354(69443)

Question 773794: a+(a-3)=a+2-(a+1)
Click here to see answer by jim_thompson5910(35256)

Question 773989: Write log base 4 of one-sixteenth equals negative 2 in exponential form.
Click here to see answer by oscargut(2103)

Question 774142: Please help me solve this equation
-(-3 - 2) + 4(-2) + 1/-2^-3 - (-2)^-3 The book says -87/8
Click here to see answer by Alan3354(69443)

Question 774367: How to solve this for a
log[a](10)^(-3)=3
Click here to see answer by lwsshak3(11628)

Question 775728: Can someone please explain how to simplify √m:(a^2m))
Click here to see answer by DrBeeee(684)

Question 775902: 2^x + 2^x^+^2= -5y + 20
Click here to see answer by tommyt3rd(5050)

Question 776669: log(base7)1=0
Click here to see answer by fcabanski(1391)

Question 777603: How do you solve: 9 to the power of m+3 equals 81
Click here to see answer by solver91311(24713)

Question 777603: How do you solve: 9 to the power of m+3 equals 81
Click here to see answer by MathLover1(20850)

Question 778632: Let f(x)= x ln x. What is the domain of f? Find f(1/e).
Please and Thank You :)
Click here to see answer by Tatiana_Stebko(1539)

Question 778631: Use properties of exponents and logarithms to simplify e^(3 ln x^2)
Please and Thank You :)
Click here to see answer by Tatiana_Stebko(1539)

Question 778767: hi! can you solve this for me? 3e^2x+1 = 21
Click here to see answer by Alan3354(69443)

Question 778978: What is the simplest form of the number square root 2 sqrt ( 8 sqrt 2 )

A. 1024

B. 2 5/8

C. 2 1/10

D. 2 8/5

Click here to see answer by Alan3354(69443)

Question 779483: Suppose that in any given year, the number of cases of a disease is reduced by 20%. If there are 10000 cases today, how many years will it take to reduce the number of cases to 1000? Be sure to write the exponential equation used.
Click here to see answer by reviewermath(1029)

Question 779803: " How do I factor this trinomoial using the ac method?" please break it down and explain thank you.
15x^2-7x-2

Click here to see answer by stanbon(75887)

Question 781235: Simplify the following:
(4^16)^.5
Click here to see answer by tommyt3rd(5050)

Question 782007: f(x)=(1/2)^x=1/256
Click here to see answer by oscargut(2103)

Question 783431: log x=-1
Click here to see answer by oscargut(2103)

Question 784644: find the equation of an exponential function y=b^x that passes through the point (2,1/4)
I plug in the values to the equation 4 = b^2, then change them to natural logs,
ln 1/4 = 2 ln b
am I on the right track?
Click here to see answer by josgarithmetic(39620)

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