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 944469: How long will it take a sum of money to treble if it is invested at 15% interest compounded semi-annually?
Click here to see answer by Fombitz(32388)

Question 945827: For all values of "x" greater than 3, show how the equation: square root of x+9 equals x-3 is equivalent to x = x squared minus 6x (I do not know how to type the square root sign nor the exponent i.e. squared)
Click here to see answer by rothauserc(4718)

Question 945879: For the function f(x) = -4-x + 5, if x→∞, then y → ____.
Question 6 options:

0

-∞

∞

5

None of These
Save

Click here to see answer by MathLover1(20850)

Question 945878: For the function f(x) = -log(x) + 4, as x →∞, y→ _____.
Question 5 options:

∞

-∞

0

4

None of These
Save

Click here to see answer by MathLover1(20850)

Question 945946: 2log x = -1
Click here to see answer by Alan3354(69443)

Question 945815: A regulation for riding a certain amusement park ride requires that a child be between 30 inches and 50 inches tall. Write an inequality that can be used to determine whether or not a child's height "h" satisfies the regulation for this ride?
Click here to see answer by Alan3354(69443)

Question 945924: Graph y1=6^3x+1 and y2=215 find the point of intersection. I know y = 215 but how do I find X? Solve this as a logarithm.
Click here to see answer by ankor@dixie-net.com(22740)

Question 946039: My teacher gave us a project that has a few questions:
A.) The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in the habitat.
1. Write a function that models the change in animal population.
2. Write the function that models exponential growth or decay
Click here to see answer by ankor@dixie-net.com(22740)

Question 946108: Solve for x the following logarithmic equation ln(x) +(5)=2.where ln means the natural logarithmic
Click here to see answer by Fombitz(32388)

Question 946146: How do you evaluate log base 64(4)
Click here to see answer by Alan3354(69443)

Question 946151: x=e^uc
make e the subject of the formula
Click here to see answer by Fombitz(32388)

Question 946222: Find the associated half-life time or doubling time.
Q = 1900e−0.025t
Click here to see answer by Fombitz(32388)

Question 946255: -8.4^(6n+1.4)-4=-8 please help me solve for n.
Click here to see answer by Alan3354(69443)

Question 946215: Use logarithms to solve the given equation. (Round the answer to four decimal places.)
9(1.092x + 1) = 15
Click here to see answer by Alan3354(69443)

Question 946509: Convert the given exponential function to the form indicated. Round all coefficients to four significant digits.
f(x) = 2e^x; f(x) = Abx
Click here to see answer by Fombitz(32388)

Question 947054: How do you solve 2^x/3=80 with a logarithm base of 10?
Click here to see answer by josgarithmetic(39620)

Question 947054: How do you solve 2^x/3=80 with a logarithm base of 10?
Click here to see answer by MathTherapy(10552)

Question 947053: How do you solve 2^x/3=80?
Click here to see answer by lwsshak3(11628)

Question 947156: Studying for my exam tomorrow, trying to figure out how you find the x & y intercepts from the graph after undergoing a translation four units upwards and five units to the left.
I think the equation would look something like:
How would I find the x & y intercepts?
Thank you for your help
Click here to see answer by Fombitz(32388)

Question 946214: Use logarithms to solve the given equation. (Round the answer to four decimal places.)
7−4x = 45
Click here to see answer by Fombitz(32388)

Question 946753: Find the equation of the tangent to the graph at the indicated point
f(x)=x^2-6x
a= -5
y=
Click here to see answer by Fombitz(32388)

Question 947212: x3 − 2x + 4/x + 3. What is its quotient and remainder when solved with Sythetic division?
Click here to see answer by josgarithmetic(39620)

Question 947233: P(x) = x^4 − x^3 − 11x^2 − 6x + 8
Click here to see answer by Alan3354(69443)

Question 947346: Log7 4x^2 - log7 9 = log7 16
Click here to see answer by lwsshak3(11628)

Question 947225: P(x) = x4 − 2x3 − 24x2 + 50x − 25. What are all the rational zeros and the polynomial in its factored form?
Click here to see answer by lwsshak3(11628)

Question 947204: Find the associated expotential decay or growth model
Q=2400 t=0 half-life= 8
Click here to see answer by Fombitz(32388)

Question 947737: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 7^−4x = 45
Click here to see answer by Theo(13342)

Question 947737: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 7^−4x = 45
Click here to see answer by MathLover1(20850)

Question 947774: Use logarithms to solve the given equation. (Round the answer to four decimal places.)
9(1.09^(2x + 1)) = 15
Click here to see answer by MathLover1(20850)

Question 947774: Use logarithms to solve the given equation. (Round the answer to four decimal places.)
9(1.09^(2x + 1)) = 15
Click here to see answer by MathTherapy(10552)

Question 948326: D1: Let�s combine our knowledge of solving systems and solving logarithmic equations. Solve the system of equations:
log yx = 3, this is log with a base of y, then x equals 3.
log y (4x) = 5, this is log with a base of y,(4x) equals 5.
I am trying to figure this question out. I need steps involved please.
Click here to see answer by josgarithmetic(39620)

Question 948576: Suppose you had one thousandth of a percent of the national debt... that's 0.001% of the national debt. How much would this be?
Use the current value of the national debt at $18,130,544,000,000.
Click here to see answer by Fombitz(32388)

Question 949059: Logarithmic form and Exponential form
Steps please!
1) log base 10 times 20 = x
2)log base 4 times 32 = x
3) e^x = 4
4) 3^2x = 80
5) 4e^x = 91
6) log base 5 times 3x = 2.3
7) Ln 2x = 2.4
Click here to see answer by stanbon(75887)

Question 949120: Express as a logarithm of a single number or expression
log2 M + log2 N + 3

Click here to see answer by josgarithmetic(39620)

Question 949582: How do I determine the range, domain, x & y intercepts for these equations?
a) y=5(1.2)^x
b) 3 3/4^x
Thanks in advance!
Click here to see answer by josgarithmetic(39620)

Question 949595: graph
y=log_(1/6)⁡〖(x)〗
Click here to see answer by addingup(3677)

Question 949700: (4 - 3)[1 - (3 + 5)] x 5 = ?
Click here to see answer by stanbon(75887)

Question 949719: In order to draw graph of blood level versus alcohol levels for forensic purposes,(ie x and y axis respectively,do I logarithm both axis or only the y (alcohol level) axis ?
Click here to see answer by Alan3354(69443)

Question 949837: Use logarithms to solve the given equation. (Round the answer to four decimal places.)
52x + 1 = 33
x=
Click here to see answer by jim_thompson5910(35256)

Question 950072: How do I solve the exponential equation by expressing each side as a power of the same base and then equating exponents.
5^x=125
Click here to see answer by Alan3354(69443)

Question 950073: how do I solve the exponential equation by expressing each side as a power of the same base and then equating exponents?
9^x=27
Click here to see answer by Fombitz(32388)

Question 950206: find the inverse of y=log(-3x)-4

Click here to see answer by MathLover1(20850)

Question 950206: find the inverse of y=log(-3x)-4

Click here to see answer by stanbon(75887)

Question 950205: Write the equation of the logarithmic function which passes thought the points (4,1), (5,0), and (7,-1) if the equation has has asymptote of x=3
Click here to see answer by josgarithmetic(39620)

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