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 649422: use log to find the value of x=3(5)
Click here to see answer by Alan3354(69443)

Question 621222: 16. Which of the following is a reason for why the trace function on a graphing calculator can sometimes be better than the Bisection Theorem for finding roots?

A. The Intermediate Bisection Theorem applies only to continuous functions, and not all polynomials are continuous.

B. The Bisection Theorem can't find roots to more than 3 decimal places.

C. Some roots aren't surrounded by one positive and one negative value of the polynomial.

Click here to see answer by jjuah1(1)

Question 651515: How long will it take for the population of a certain country to triple if its annual growth rate is 5.3?
Click here to see answer by Alan3354(69443)

Question 651632: solve
y^(3/2)=7y

Click here to see answer by swincher4391(1107)

Question 652933: 2 = x^10
What is x?
Click here to see answer by Shana-D77(132)

Question 651662: How to solve 9 to the negative 3/2
Click here to see answer by lwsshak3(11628)

Question 651824: log (3x+2) - 3log (x) = 1
Click here to see answer by lwsshak3(11628)

Question 654047: Please help me to solve this problem:
log6(t+1)-log6(t^2-1)
Thanks!
Click here to see answer by lwsshak3(11628)

Question 654518: I am really stuck on how to answer this question, it says solve the following equation..
I have already tried making the eqaution equal to 0 and trying to solve it, but i don't know how to, i also tried logging both sides but im not sure how to as both sides contain x and both have powers.
Thankyou
Click here to see answer by Edwin McCravy(20060)

Question 655224: valuate: f(x) = 6e^12.77x for x = 2
Click here to see answer by jim_thompson5910(35256)

Question 655584: 3^m+1-3^m=54 m^m=?
Click here to see answer by Alan3354(69443)

Question 655725: 2e^5x=3/e^2 for x
Click here to see answer by Alan3354(69443)

Question 656796: Please help me solve in the real numbers system : x^3-3x^2+4=0
Click here to see answer by htmentor(1343)

Question 656796: Please help me solve in the real numbers system : x^3-3x^2+4=0
Click here to see answer by solver91311(24713)

Question 657455: 1^40K
Click here to see answer by solver91311(24713)

Question 657977: find the exact value of the expression ln(1/e)
Click here to see answer by jim_thompson5910(35256)

Question 658663: log[3 root x] = 4/3log[x-6]
Click here to see answer by stanbon(75887)

Question 659772: Simplify each exponential expression
2xy^-2
_________) ^2
y^-3y^3
Click here to see answer by MathLover1(20850)

Question 660485: What are the two values of x?
3^(x-x^2)=1/81x
Click here to see answer by Gogonati(855)

Question 660718: Hello, I am stuck on a problem for homework and need some help. I worked it out but am not sure if I am right. Here is the problem and my answer. Can you check me please?
In(y-1)=1+In(3y+2)
I got an answer of y= (2e+1)/(1-3e)
Thank you very much for your help.
Chris
Click here to see answer by Alan3354(69443)

Question 661422: im giving the below function and im asked to find the domain and the intervals where f(x)>0.
f(x)=(e^x-1)ln(x)
i seemed to be stuck here
e^x-1>0
e^x=-1 -- now what do i do here?
x > 0=0
how do i even get started with finding where is greater then zero?
Thanks for all your help in advance.
Miguel

Click here to see answer by lwsshak3(11628)

Question 662126: Please help me solve this equation: .
Click here to see answer by ReadingBoosters(3246)

Question 662126: Please help me solve this equation: .
Click here to see answer by MathTherapy(10552)

Question 662245: which property is 3x+5x^2=5x^2+3x
Click here to see answer by KMST(5328)

Question 662613: Raise the quantity in parenthesis to the indicated exponent and simplify the resulting expression. Express with positive exponents
{35x^-2y^2/140x^-3y^-5}^-4
Click here to see answer by Alan3354(69443)

Question 664980: what is 3 with -1 exponent
Click here to see answer by ewatrrr(24785)

Question 665447: e^x-7=-e^-x
Click here to see answer by Alan3354(69443)

Question 665840: Simplify and write the answer in exponential notation using positive exponents. 67 � 6 �4
Click here to see answer by Alan3354(69443)

Question 665932: log(x)-log(x-1)=log(3x+12)
Click here to see answer by MathLover1(20850)

Question 666069: 1. Calculate the First and the second derivative of the function
y = cubic-rt-of (1-x^3)

Click here to see answer by Alan3354(69443)

Question 666136: 1. Find the peaks and the troughs (= interior local maxima and minima) of the
function
y = x^3 - 10.5x^2 + 30x +20
Click here to see answer by swincher4391(1107)

Question 666136: 1. Find the peaks and the troughs (= interior local maxima and minima) of the
function
y = x^3 - 10.5x^2 + 30x +20
Click here to see answer by ewatrrr(24785)

Question 666155: 5x-9-x+2
Click here to see answer by swincher4391(1107)

Question 666580: log(3x2^3)
Click here to see answer by lynnlo(4176)

Question 666580: log(3x2^3)
Click here to see answer by Alan3354(69443)

Question 667135: im sorry if this is the wrong section to ask it in but here it is...
( x^3 / 64 ) ^2/3
please help :) thanks in advance, i will recomend you if you answer

Click here to see answer by josmiceli(19441)

Question 669523: THE PRICE OF THE HOME IS $149,000. THE BANK REQUIRES A 20% DOWN PAYMENT AND 3 POINTS AT THE OF CLOSING. THE COST OF HE HOME IS FINANCED WITH A 30 YEAR FIXED RATE MORTGAGE AT 6.5%. FIND THE AMOUNT OF THE MORTGAGE

Click here to see answer by MathLover1(20850)

Question 669555: 2x^2y^3(6x^-1y^4)
Click here to see answer by lynnlo(4176)

Question 669867: how does y to the a-b power equal 1/y to the b-a power?

Click here to see answer by Alan3354(69443)

Question 670448: ln(2x-2)=3
Click here to see answer by stanbon(75887)

Question 670545: Write the expression as one logarithm: 2 log (y^3/x) - 3 log (y) + 1/2 log x^4y^2
Click here to see answer by lwsshak3(11628)

Question 670451: log[4]80
Click here to see answer by lwsshak3(11628)

Question 670395: How do you figure out x in the equation log5(3x^2-1)=log5*2x
Click here to see answer by lwsshak3(11628)

Question 670446: e^(x-4)=12
Click here to see answer by lwsshak3(11628)

Question 669914: solve
27^x=(1/243)^x-2
Click here to see answer by lwsshak3(11628)

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