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 1133034: Exponentail Functions:
Simplify writing with positive exponents
(9t)(6t)^-3

Click here to see answer by Boreal(15235)

Question 1133315: Hi need help on this question
The variables x and y are connected by the equation y= ax^n where a and n are constants. Given that y=6360 when x = 10, find the values of a and n to 3 s.f
this is what I have done lg y = lg a + nlg x
Lg 6360 = lg a +nlg 10
Don't know what to do next. Thanks
Click here to see answer by Theo(13342)

Question 1133345: log2(x+6)+log2(2)=4
Click here to see answer by greenestamps(13200)

Question 1133345: log2(x+6)+log2(2)=4
Click here to see answer by Boreal(15235)

Question 1133564: The expression x= log base a. y means a^x. What is the value of log base five(5^234)?
Click here to see answer by Alan3354(69443)

Question 1133585: Evaporating water into air cools the air; a swamp cooler works by evaporation. The wet-bulb temperature of air is the temperature that the air would have if it were cooled to saturation (100% humidity) by evaporating water into it. The amount of cooling possible with a swamp cooler is proportional to the difference between the actual air temperature, T and the wet-bulb temperature, W. A particular swamp cooler can cool air at a temperature of 40 degrees celsius to 23 degrees celsius if the wet-bulb temperature is 20 degrees celsius. Determine the lowest temperature that this swamp cooler could achieve:
a) Actual temperature is 48 degrees and the wet bulb temp is 22
b) Actual temp is 32 and wet bulb is 26
Click here to see answer by Theo(13342)

Question 1133962:
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Question 1133962:
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Question 1130907: Pennies are stacked on a table so that on the first day there is one penny in the stack and each day after that the number of pennies in the stack is doubled. On what day will the stack contain more than $1.00 worth of pennies?
Click here to see answer by Shin123(626)

Question 1134240: VesselFinder Pro - Apps on Google Play
Análisis de antivirus 2019 - Mejores Antivirus

Click here to see answer by ikleyn(52802)

Question 1134309: If f(x) = log3 (x + 1), what is f−1(2)?
Click here to see answer by MathLover1(20850)

Question 1134298: Ms. Smith purchased a car in 2017 for $30,000. If the value of her car depreciates at a rate of 12% per year, how long will it take for the value of her car to reach $12,000?

Click here to see answer by Boreal(15235)

Question 1134387: LinkedIn: Log In or Sign Up

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Question 1134395: The population of a town is decreasing at a rate of 7% every year due to migration.
Complete the following sentence with the correct value.
The migration rate, r, is
.
Click here to see answer by Theo(13342)

Question 1134770: I will link the image at the bottom because I couldn’t write it in the question.
This question talks about how the sqrt of x is to the exponent of sqrt of x indefinitely. The answer to it is 2 but the goal is to find x. How would you solve this question?
Image : https://ibb.co/pdHnWmt
Click here to see answer by greenestamps(13200)

Question 1134831: Write Exponential function that passes through (1,8) (2,32)
Click here to see answer by MathLover1(20850)

Question 1134832: Write a power function that passes through (5,10) (12,81)
Click here to see answer by Boreal(15235)

Question 1134832: Write a power function that passes through (5,10) (12,81)
Click here to see answer by MathLover1(20850)

Question 1134832: Write a power function that passes through (5,10) (12,81)
Click here to see answer by MathTherapy(10552)

Question 1135343: What is the solution to this problem?
32^2y = 5^(4y+1)
Click here to see answer by Alan3354(69443)

Question 1135343: What is the solution to this problem?
32^2y = 5^(4y+1)
Click here to see answer by MathLover1(20850)

Question 1135343: What is the solution to this problem?
32^2y = 5^(4y+1)
Click here to see answer by rothauserc(4718)

Question 1135342: What is the solution to this problem?
5^(x-1) = 3x
Click here to see answer by greenestamps(13200)

Question 1135823: Can you answer this question for me please it would be nice thanks again
log base 6(X+1)
What it says that it is log with a base of 6 times (x+1)
I would like to know how to put it into exponential formula!
Thank you
Click here to see answer by josmiceli(19441)

Question 1135824: write ane exponitial function with the points (1,7.5) and (3,16.875)

Click here to see answer by Boreal(15235)

Question 1135824: write ane exponitial function with the points (1,7.5) and (3,16.875)

Click here to see answer by greenestamps(13200)

Question 1135936: 36^-3n
------ = 36 Please help with steps.
216^3n
Click here to see answer by MathLover1(20850)

Question 1135936: 36^-3n
------ = 36 Please help with steps.
216^3n
Click here to see answer by MathTherapy(10552)

Question 1135939: 216^-2k
-------- = 36 Please show steps and solution.
36^-2k-3
Click here to see answer by Alan3354(69443)

Question 1135939: 216^-2k
-------- = 36 Please show steps and solution.
36^-2k-3
Click here to see answer by Theo(13342)

Question 1135939: 216^-2k
-------- = 36 Please show steps and solution.
36^-2k-3
Click here to see answer by MathTherapy(10552)

Question 1135939: 216^-2k
-------- = 36 Please show steps and solution.
36^-2k-3
Click here to see answer by greenestamps(13200)

Question 1135951: 25*125^2r = 25^3r+3 Please show steps and solution
Click here to see answer by MathLover1(20850)

Question 1135951: 25*125^2r = 25^3r+3 Please show steps and solution
Click here to see answer by MathTherapy(10552)

Question 1135965: 25*125^2r = 25^(3r+3) Please show steps and explain
Click here to see answer by greenestamps(13200)

Question 1136374: Use hyperbolic functions to calculate the integral ∫125+x2√dx.
Note: Use C for an arbitrary constant.
Click here to see answer by ikleyn(52802)

Question 1136372: An unknown radioactive element decays into non-radioactive substances. In 560 days the radioactivity of a sample decreases by 51 percent.
(a) What is the half-life of the element?
half-life:
(days)
(b) How long will it take for a sample of 100 mg to decay to 47 mg?
time needed:

Click here to see answer by josgarithmetic(39620)

Question 1136373: A bacteria culture starts with 360 bacteria and grows at a rate proportional to its size. After 2 hours there will be 720 bacteria.
(a) Express the population after t hours as a function of t.
population:
(function of t)
(b) What will be the population after 9 hours?

(c) How long will it take for the population to reach 2810 ?

Click here to see answer by Boreal(15235)

Question 1136459: Jada wants to invest in a mutual fund for her retirement. If she expects to make 17% interest, and wants to retire in 35 years, how much money must she invest per month to have 5,000,000 when she retire?
Click here to see answer by ikleyn(52802)

Question 1136834: I am working with exponential regression on a homework problem and we are find an equation for a model for the given data. (Use the first and fifth sets of data from the table to calculate your equation.) Typically I would enter the data in my TI-84 Plus calculator then STAT>CALC>EXPREG and that would give the "a" and "b" values. But, since some of the values are negative I am getting an ERR:DOMAIN instead. So, how do I work out the equation when dealing with negative numbers?
The values given
x= -6,-2,2,5,7,11
f(x)= -12.06, -22.50, -51.84, -89.58, -128.99, -294.23
Click here to see answer by Theo(13342)

Question 1136901: find the equation of the normal to the curve with the equation y=e^3x-2 at the point (1,e)

Click here to see answer by Alan3354(69443)

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