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

Algebra ->  Exponential-and-logarithmic-functions -> Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!      Log On


   



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


Question 129366: Please help me solve for x:
a) 5x(^1/2)=20
b) 8x^-3=64
c) 8(x-2)^3=27
d) (x+3)^sqrt2=25^sqrt8

Click here to see answer by edjones(8007) About Me 

Question 129448: quadratic formula
2xsquared + 5x + 11=0

Click here to see answer by MathLover1(20850) About Me 

Question 129740: WRITE THE EQUATION IS SIMPLEST FORM
2/ 6 RADICAL 81
i DON'T UNDERSTAND HOW TO FACTOR THE ON BOTTOM AT ALL
i REALLY CONFUSED A DESPARTLY NEED A FULL EXPLANTION
i HAVE TRY FACTOR 3 RADICAL BUT I DIDN'T REALLY GET WERE GOING
i WOULD LOVE HELP BECAUSE DUE TOMMOROW
PLEASE HELP ME AND THANK FOR HELP

Click here to see answer by edjones(8007) About Me 

Question 129847: Squareroot of 2x-5 + squareroot of 9+x=13
I square both sides and get 2x-5+9+x=169 and solve x=55 but it's wrong. What am I missing? Thanks for your help!

Click here to see answer by oscargut(2103) About Me 

Question 129927: I need help solving the exponential equation
e 2-x=12

Click here to see answer by stanbon(75887) About Me 

Question 129926: I need help with this question
At the end of the year 2000, the population of rive town was growing exponentially according the following model. What was the population at the end of the year 2003?

Click here to see answer by stanbon(75887) About Me 

Question 129925: I need help with this question
If 500 is deposited in an account paying 8.5% annual interest, compounded continuously, how long will it take for the account to increase to $800? calculate your answere to three decimal places before rounding to two.

Click here to see answer by stanbon(75887) About Me 

Question 129944: I need help solving this logarithmic equation
log(x-14)-log5=log(x-12)-logx

Click here to see answer by jim_thompson5910(35256) About Me 

Question 129924: I need help with solving this logarithmic equation
log x+log(x+3)=1

Click here to see answer by jim_thompson5910(35256) About Me 

Question 129923: I need help with solving this logarithmic equation
log5(x+1)+log5(x-1)=log5 8

Click here to see answer by jim_thompson5910(35256) About Me 

Question 129942: I need help with this question
At the end of the year 2000, the population of rive town was growing exponentially according the following model. What was the population at the end of the year 2003?
p=375(1.3t)

Click here to see answer by josmiceli(19441) About Me 

Question 129921: I need help solving this exponential equation

5x2-3x=625

Click here to see answer by checkley71(8403) About Me 

Question 129915: I need help with this question
A pop growing at an annual rate "r" will triple in a time "t", and is given by the following formula. If the growth rate remains constant and equals 14% per year, how long will it take the population of the time to triple?

Click here to see answer by scott8148(6628) About Me 

Question 129918: I need help solving this logarithmic equation
log(x-14)-log5=log(x-12)-logx

Click here to see answer by scott8148(6628) About Me 

Question 129959: Tutor:
Could you PLEASE help me understand the following problem? My algebra 2 teacher wrote the answer on the board and I copied it down in hopes that I could figure it out later, but apparently I can't.
Icann Flie loves to hanglide at a nearby beach. When he jumps off the escarpment he dives downward toward the water until the wind catches his hanglider, then he flies upward. Assume that his distance in feet from the water varies quadratically with the time since he started his flight. The escarpment is 105 feet above the water. Five seconds after he jumps he is 30 feet above the water. Five seconds later he is 21 feet above the water.
a. Define the variables, write the ordered pairs, and find the particular equation of this function expressing distance above the water in terms of seconds in flight.
The teacher put this on the board (sorry if it is out of order...I don't particularly know where everything goes):
x=time y=distance above water y=ab^x
(0,105) (5,30) (10,21)
y=xt^2+xt+105
answer: y=1.32t^2-21.6t+105
I understand where the teacher got the plots, but after that, I don't know what I'm doing. Log doesn't work the way I'm doing it, and I have no clue what to do with it.

Click here to see answer by scott8148(6628) About Me 

Question 130626: Solve for x: 5%2A6%5E%282x-3%29%2B1=8
Click here to see answer by jim_thompson5910(35256) About Me 

Question 130628: Solve for x: 4%2B3%2Alog%282%2C%28x%29%29=7
Click here to see answer by jim_thompson5910(35256) About Me 

Question 130629: Solve for x: 3%2Be%5E%285x-1%29=9
Click here to see answer by jim_thompson5910(35256) About Me 

Question 130631: If the graph of f%28x%29=b%5Ex asses through the point (2,9), find f(4)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 130638: Sketch the graph of the function f%28x%29=%282%2F3%29%5Ex
Click here to see answer by jim_thompson5910(35256) About Me 

Question 130639: What is the base b of the function f%28x%29=b%5Ex if f%28-2%29=1%2F64
Click here to see answer by jim_thompson5910(35256) About Me 

Question 130650: Solve for x: e%5E%283x%2B1%29=1%2F%28e%5Ex-2%29
Click here to see answer by jim_thompson5910(35256) About Me 

Question 130655: Rewrite as a single logarithm


log%28d%2C%283x%29%29%2Blog%28d%2C%284y%29%29

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130658: Write as a single logarithm


3log%2816%2C4%29%2B5log%2816%2Cv%29-8log%2816%2Cw%29

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130661: Solve for x:

log%28x%2C%287%29%29=1%2F2

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130663: Solve for x:

4%5Ex%2B5=12

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130670: One motorcycle costs $8000 and depreciates in value at 6% per year, while another motorcycle costs $7000 and depreciates in value at a rate of 4% per year. If both motorcycles are bought at the same time , when (correct to one decimal place)will the value of both be the same??????????
Click here to see answer by mandymae(2) About Me 

Question 130682: Solve for x:

2log%287%2C%28x%29%29=2%2Blog%287%2C%2816%29%29

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130683: Solve for x:

2e%5E%282x%2B3%29-3=5

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130685: Write the expression as a single logarithm


log%28b%2C%28x-2%29%29%2B3log%28b%2C%28x-6%29%29-4log%28b%2C%28x%2B1%29%29

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130689: Expand the logarithm


log%2810%2C%282x%5E5%2F%28yz%5E3%29%29%29

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130690: Solve for x:


log%284%2C%28x%2B13%29%29%2Blog%284%2C%28x%2B1%29%29=3

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130691: Solve for x:


log%28x%2C%28625%2F81%29%29=4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130692: Solve for x:


log%282%2C%285x%2B2%29%29=5

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130693: Graph the following. Label all x-intercepts, y-intercepts, and any asymptotes.


f%28x%29=2%5Ex-4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 130851: How much money would one invest at a yearly rate of 3.4% compounded annually such that after 10 years the value of the investment is $3500?
Click here to see answer by mathispowerful(115) About Me 

Question 131041: I missed lecture on Chapter 13.2 and 13.3 because I had to work and I am struggling trying to understand what it is they want me to do and how to work it.
Problem is # 8 in section 13.2 Graph y=3^ ^ is x other problems listed are y= (1/3) ^ with ^ being x.
I m not understanding how or what format is used in drawing out the box and where the numbers come from.
Please help.

Click here to see answer by stanbon(75887) About Me 

Question 130854: A bank offers a savings bond with an interest rate of 8% per year compounded annually. How much money would an individual invest so that the value of the investment after 15 years is $7000?
Click here to see answer by checkley71(8403) About Me 

Question 131206: Find all real solutions to:
ln x + ln 2 = 3

Click here to see answer by stanbon(75887) About Me 

Question 131694: Hi I dont understand how to do this problem. The chapter is on exponential and logarithmic functions. the problem on writing an exponential function from two points on the functions graph.
Heres the question
Write an exponential function of the form y=ab^x that includes the given points. (1,2) (2,8)
Thanks alot

Click here to see answer by rapaljer(4671) About Me 

Question 131700: hey heres another problem i need help on. The chapter im on is called exponential and logarithmic functions. The problem is on writing an exponential function from 2 points on the functions graph.
heres the problem
Write an exponential function of the form y=ab^x that includes the given points: (-1, 2/9) (1,2)
Thanks

Click here to see answer by jim_thompson5910(35256) About Me 

Question 131707: log 2 + log x = log 3
log 2 + log x = 3
I'm so confused, how do I solve these?
Thanks

Click here to see answer by rapaljer(4671) About Me 

Question 131839: Please g(x)=log(x+2), graph it, equation for the vertical asymptote,x intercept in (x,y) form
Also the same things for g(x)=-log(x)
Thank you

Click here to see answer by stanbon(75887) About Me 

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