Tutors Answer Your Questions about logarithm (FREE)
Question 251494: 1. Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1.Use the resulting ordered pairs to plot the graph; State the equation of the line asymptotic to the graph (if any).
y = log4 (x + 2)
2. use the formula nkt, where n is the number of items in terms of the initial population i, at time t, and k is the growth constant equal to the percent of growth per unit of time. there are currently 63 million cars in a certain country, decreasing by 6.9% annually. how many years will it take for this country to have 33 million cars? round to the nearest year.
Click here to see answer by stanbon(57377)  |
Question 251335: To measure the volume of loudness of a sound, the decibel scale is used. The loudness L in decibels (db) of the sound is given by: L =10 log I/I0 where I is the intensity of the sound.
Solve: The band Strange Folk performed in Burlington VT and reached sound levels of 111 db. What is the intensity of the sounds? This is my answer, but my teacher says I did it wrong. Here's what he wrote:
You have made some errors on this question.
--------------------------
L =10 log I/I0
111 = 10 log (l/10)
--------------------------
should be
L =10 log I/I0
111 = 10 log (l/10^(-12)
11.1=log I - log 10^ (-12)
Now solve for I
Thanks!
Click here to see answer by jsmallt9(3296) |
Question 251515: I do not know how to plug into calculator
. Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph.
y = log4 (x + 2)
2. Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph.
y=3^x-4+1
Click here to see answer by jsmallt9(3296) |
Question 251206: Please help I am really confused and could use a step by step break down.
Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
ln (2x + 3) = 2
Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
log2√x^2-4 = 1
Click here to see answer by ankor@dixie-net.com(15659)  |
Question 251599: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
log x =1
If an equation reads as log 10 or 10 whatever, this means log to the base 10.
In other words, log (base10) of 10 = some number.
This particular problem reads as log base 10 of x=1. Convert to exponential form. In other words, the base to the power 1 = x.
Thus, x=1.
Click here to see answer by dlam5(15) |
Question 251614: 1. the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; State the equation of the line asymptotic to the graph (if any).
y = 5x - 3
2. Solve the problem.
Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by
S(t) = 100 ∙ 6t .
What is the doubling time for the yearly sales?
Click here to see answer by MRperkins(300)  |
Question 250805: The population growth of an animal species is described by
F(t) = 700 + 50 log3 (2t + 1),
where t is measured in months. Find the population of this species in an area 13 month(s) after the species is introduced.
Thank you for any help you can offer.
Click here to see answer by jsmallt9(3296) |
Question 251004: To measure the volume of loudness of a sound, the decibel scale is used. The loudness L in decibels (db) of the sound is given by: L =10 log I/I0 where I is the intensity of the sound.
Solve: The band Strange Folk performed in Burlington VT and reached sound levels of 111 db. What is the intensity of the sounds? Thank You!
Click here to see answer by jsmallt9(3296) |
Question 251524: 1.Express as a difference of logarithms.
log g m/4
2.Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by
S(t) = 100 ∙ 6t .
What is the doubling time for the yearly sales?
Click here to see answer by jsmallt9(3296) |
Question 250651: I'm having a bit of trouble with logarithm's questions such as these, are very confusing!
Find the inverse of f ( x) = −2 log7(3x − 4) and Write as a single logarithm. 2 ln a − 3 ln b − 7 ln c − 6 ln d + ln g
Click here to see answer by jsmallt9(3296) |
Question 251731: 1. Solve the problem.
The function Y(x) = 48.94 ln can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In what year will the country's population reach 11 million?
2. Given that log 2 ≈ 0.301 and log 3 ≈ 0.477, find the following.
log6 27
3. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
ln x - ln (x - 4) = ln 4
4. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
e^t = 1000
Click here to see answer by edjones(7569)  |
Question 251746: Solve the problem. The function Y(x) = 48.94 ln can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In what year will the country's population reach 11 million?
2. Given that log 2 ≈ 0.301 and log 3 ≈ 0.477, find the following. log6 27
Click here to see answer by edjones(7569) |
Question 251578: Can someone help me with these two questions? Thanks
1. Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Use the resulting ordered pairs to plot the graph of each function; y=2^x, x=2^y
8. Evaluate the exponential function for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; State the domain and the range of the function.
f(x) = e^-x -1
Click here to see answer by Theo(3464)  |
Question 252472: The amount of money in an account with continuously compounded interest is given by the formula  , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded continuously at 5.5%. Round to the nearest tenth.
Click here to see answer by drk(1908) |
Question 252472: The amount of money in an account with continuously compounded interest is given by the formula , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded continuously at 5.5%. Round to the nearest tenth.
Click here to see answer by stanbon(57377) |
Question 250803: Evaluate the exponential function for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph. State the domain and the range of the function.
f(x) = e^-(x + 5)
Thank you for your help!
Click here to see answer by drk(1908) |
Question 251492: 1. Evaluate the exponential equation for three values of x greater than -4, three values of x smaller than -4, and at x = -4. Show your work. Use the resulting ordered pairs to plot the graph;State the equation of the line asymptotic to the graph (if any). y=3^x=4+1
2. Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph; State the equation of the line asymptotic to the graph (if any).
y = ln(x + 2)
Click here to see answer by drk(1908) |
Question 250694: Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1. Use the resulting ordered pairs to plot the graph;State the equation of the line asymptotic to the graph (if any).
y = log4 (x + 2) (The 4 is supposed to be written sub-script)
Click here to see answer by drk(1908) |
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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, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890
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