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 1061516: Hello! Could you please help me with the following problem? If you could give me steps and show your work, that would be great.
You invest an initial $1,000 in an account that has an annual interest rate of 2.5%, compounded annually. How much money will you have in the account after 6 years? Round your answer to the nearest whole number.
Click here to see answer by LynnMomo(10)

Question 1061517: If you could show your steps as to how you get this answer, that'd be so great! Thank you.
You invest $1,300 in an account that has an annual interest rate of 5%, compounded annually. How much money will be in the account after 10 years? Round your answer to the nearest whole number.
Click here to see answer by MathTherapy(10552)

Question 1061565: Formula for (a+b)^-1
Click here to see answer by Edwin McCravy(20059)

Question 1061689: If we assume that air resistance is proportional to the square of the velocity, then the time t in seconds
required for an object to reach a velocity v in feet per second is given by:
t=9/24ln 24+v/24-v, 0 ≤ v < 24
determine the velocity, to the nearest hundredth foot per second of the object after 1.3 seconds
Click here to see answer by ikleyn(52800)

Question 1061943: Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.
((x-6))/(8^(10))=\sqrt(8)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1062043: Solve for X:
2000 = 10000(1 + 0.0576/12)^12X

Click here to see answer by math_helper(2461)

Question 1062121: log81/log9
Click here to see answer by math_helper(2461)

Question 1062193: The average daily metabolic rate for rodents can be expressed as a function of weight by m = 90w^0.6, where m is the metabolic rate (in kcal/day) and w is weight(in kg). Find the weight of a rodent whose metabolic rate is 154 kcal/day.
Click here to see answer by stanbon(75887)

Question 1062354: How many distinct prime numbers evenly divide into the number 270,270,000?
Is there a way to find this out using a calculator?
Click here to see answer by math_helper(2461)

Question 1062354: How many distinct prime numbers evenly divide into the number 270,270,000?
Is there a way to find this out using a calculator?
Click here to see answer by MathTherapy(10552)

Question 1062355: An insect colony has a population that is modeled by p = 427e^t/18, where t is the number of days since scientists begin studying the colony. How many days will it take for the population to reach 700?
Click here to see answer by Alan3354(69443)

Question 1062588: The half-life of a substance is 3.2 minutes. What percent of a sample remains after 10 minutes?
Click here to see answer by josgarithmetic(39620)

Question 1063575: You invest $1,100 in an account that has an annual interest rate of 2.1%, compounded continuously. How much money will be in the account after 7 years? Round answer to the nearest whole number.
If you could also help me see the steps of how you got this, that would be great!
Click here to see answer by stanbon(75887)

Question 1063603: Rewrite the exponential expression to have the indicated base.
y=27^3x, base 3

Click here to see answer by MathTherapy(10552)

Question 1063648: You invest $1, 500 in an account that has an annual interest rate of 3.4%, compounded continuously. How much money will be in the account after 6 years? Round your answer to the nearest whole number.
If you could show your work, that would be great! Thanks!
Click here to see answer by Alan3354(69443)

Question 1063921: Y=15^x+10
Click here to see answer by ikleyn(52800)

Question 1064076: please help me, i need help with this: 1) {8-5}2+5^2 2) {10-6}+2^2 3) 7{12-2{3+2}
Click here to see answer by ikleyn(52800)

Question 1064076: please help me, i need help with this: 1) {8-5}2+5^2 2) {10-6}+2^2 3) 7{12-2{3+2}
Click here to see answer by addingup(3677)

Question 1064292: Please solve this for me
Find the solution set 2^x=x+4

Click here to see answer by Alan3354(69443)

Question 1064301: Solve for x:
2x - (4x^3)(e^(-x^4))
Click here to see answer by Alan3354(69443)

Question 1064305: Solve for x:
2x - (4x)(e^(-2x^2)) = 0
Click here to see answer by brysca(112)

Question 1064303: Solve for x:
2x - (4x^(3))(e^(-x^4)) = 0
Click here to see answer by ikleyn(52800)

Question 1064307: Sketch the curve y = e−x2. Show that the minimum distance of a point on the curve from the origin is ((ln(2)+1)/2)^(1/2)
Click here to see answer by Fombitz(32388)

Question 1064490: What is the natural logarithm of ln(2m+3)=8
Click here to see answer by Alan3354(69443)

Question 1064657: Let f(x)=2x^2+x-3
g(x)=x-1
Find the domain
(f-g)(x)
Click here to see answer by Fombitz(32388)

Question 1064485: 1. Write an exponential growth function to model the situation. A population of
422,000 increases by 12% each year.
2. Describe the transformations (from the parent function) of this exponential
function: y=3(2^x-1)+1
3. Find the inverse function of g(x)
g(x)=7x+18/2
Click here to see answer by solver91311(24713)

Question 1064793: log5 1/25= -2
Click here to see answer by Fombitz(32388)

Question 1064889: Find the equation of the line using the point-slope formula. Write the final equation using the slope-Intercept form.
(x, y) = (-7, 10) and (x, y) = (5, -2) are points on the line
________

Click here to see answer by josgarithmetic(39620)

Question 1065155: Earthquake intensity, I, is given by the equation
I=Io(10)^m, where m is the magnitude measured to the nearest tenth on the Richter scale and Io is the reference intensity.
In 1906, the San Francisco Bay area had an earthquake with a magnitude�of�7.8 on the Richter scale.
What is the magnitude of an earthquake that is 158 times less intense than the 1906 San Francisco Bay earthquake?
Click here to see answer by Fombitz(32388)

Question 1065652: Express log2 65-log2^4 as a single logarithm. Simplify if possible
a) Log2^4 B)8 C) 4 D) Log2 60
Click here to see answer by Alan3354(69443)

Question 1065825: Joe deposits $1,300 in an account that pays 2% annual interest compounded continuously.
a. How much will Joe have in his account after 5 years?
b. How long will it take Joe to double his money? Use natural logarithms and explain your answer.
c. In one or two sentences explain how the answers in part a and b will chance if the interest is compounded annually? You do not need to show . . . calculations to answer this part.
Click here to see answer by addingup(3677)

Question 1065936: how do I write the sq root of 7 over b in exponential form please?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1066438: 3x+5/x^2
Click here to see answer by Alan3354(69443)

Question 1066511: simplify and combine like terms when possible

11 sqaure root -12 + 6 sqaure root -3
Click here to see answer by josgarithmetic(39620)

Question 1066511: simplify and combine like terms when possible

11 sqaure root -12 + 6 sqaure root -3
Click here to see answer by MathTherapy(10552)

Question 1066512: simplify
(9^3/2) ^-2
Click here to see answer by jim_thompson5910(35256)

Question 1066509: find the factor
4x^2 - 3=0
Click here to see answer by josgarithmetic(39620)

Question 1066509: find the factor
4x^2 - 3=0
Click here to see answer by Bay0913(3)

Question 1066522: 25 � 5 to the power of 9x =
(1/25) to the power of 2x

Click here to see answer by Fombitz(32388)

Question 1066585: elimination 2a-4b=6
-a+2b=-3

Click here to see answer by stanbon(75887)

Question 1066585: elimination 2a-4b=6
-a+2b=-3

Click here to see answer by MathTherapy(10552)

Question 1066019: Im having trouble trying to set up and solve this word problem.
The estimated number of insects on Earth is 1x10 to the 19th power. The number of people on Earth currently is estimated to be 6 x 10 to the 9th power. What is the estimate for the number of insects per person?
Click here to see answer by stanbon(75887)

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