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

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Question 935599: How to solve logarithmic trendline equations on Excel.
My equation is y = 0.2084ln(x) + 0.0782 and I need to find the value of x. my value for y is 0.088
I would be grateful if you could help me out.
Thanks in advance for the help.

Click here to see answer by LisaDrapeau(7) About Me 

Question 923990: log (x+4) + log (x)=9
Click here to see answer by tommyt3rd(5050) About Me 

Question 935743: So I am working on a story, and for it I need to know this answer to a problem my friend gave me. He told me to "simplify log4 of 128 - log4 of 8" and it means nothing to me as I am currently taking Geometry. Could you show me the steps to solve this so I can finish my story? It would be a great help!
Click here to see answer by MathLover1(20850) About Me 

Question 935979: Simplify the expression (8x^-3 y^6)^-1/3 (2x^-3 y^-1) so that the result is in terms of positive exponents, only.
answers
1) 1/ x^2 y^2
2) 4/x^2 y^3
3) x^2 y^3
4) 1/ 4x^2 y^3

Click here to see answer by stanbon(75887) About Me 
Question 935979: Simplify the expression (8x^-3 y^6)^-1/3 (2x^-3 y^-1) so that the result is in terms of positive exponents, only.
answers
1) 1/ x^2 y^2
2) 4/x^2 y^3
3) x^2 y^3
4) 1/ 4x^2 y^3

Click here to see answer by Alan3354(69443) About Me 
Question 935979: Simplify the expression (8x^-3 y^6)^-1/3 (2x^-3 y^-1) so that the result is in terms of positive exponents, only.
answers
1) 1/ x^2 y^2
2) 4/x^2 y^3
3) x^2 y^3
4) 1/ 4x^2 y^3

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

Question 936000: A research assistant made 160 mg of radioactive sodium (Na^24) and found that there was only 20 mg left 45 h later.
(a) What is the half-life of Na^24?
(b) If the laboratory requires 100 mg of Na^24 12 hours from now, how much Na^24 should the research assistant make now? (Ignore the 20mg she currently has)

Click here to see answer by josgarithmetic(39620) About Me 

Question 935990: Write (+log%28+3%2C+7+%29+%2A+log%28+4%2C+3+%29+%2A+log%28+7%2C+6+%29+) as a single logarithm.
Click here to see answer by Theo(13342) About Me 

Question 934220: Use the properties of logarithms to write as a single logarithm.
Click here to see answer by tommyt3rd(5050) About Me 

Question 936067: I forgot the rules of exponents and can't find the rules I need. The problem said evaluate without a calculator. (2^3 * 3^2)^2 and I got as far as 2^6 * 3^4
Click here to see answer by oscargut(2103) About Me 

Question 936080: Write the logarithmic expression as a single logarithm: log7 x+log7 y-log7 z.
I got the answer log7 xy/z. Is this correct?

Click here to see answer by Alan3354(69443) About Me 
Question 936080: Write the logarithmic expression as a single logarithm: log7 x+log7 y-log7 z.
I got the answer log7 xy/z. Is this correct?

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

Question 936359: I need help with this question.
1. Write the inverse equation of y=2^x+1 ( The x+1 is the exponent. I tried solving it and my answer was y^-1= lnx-ln2/ln2
b. Provide a table of values of y=2^x+1 and its inverse. (I will know how to do this if you can help me with the first part)
c. What are the asymptotes for each graph? Be sure to identify if it is horizontal or vertical. (The question wants the asymptote for y=2^x+1 and the asymptote for the inverse of y=2^x+1

Click here to see answer by josgarithmetic(39620) About Me 

Question 936361: Expand the logarithm. log S square root 7/t^2.
I got logs+1/2log7-2logt. Is this correct?

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

Question 936473: how do you find the inverse of a logarithm function
my problem question is y=4log3(x)+1
the base or small number in the log function is 3
i know you have to substitute x for y when you are doing the inverse and i got to the step x= 4log3(y)+1 but i am stuck on what to do after you substitute it.

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 936473: how do you find the inverse of a logarithm function
my problem question is y=4log3(x)+1
the base or small number in the log function is 3
i know you have to substitute x for y when you are doing the inverse and i got to the step x= 4log3(y)+1 but i am stuck on what to do after you substitute it.

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

Question 936464: Solve for x and y:
x^2 + y^2 = 17
y-1=x
There are two solutions: (x1, y1) and (x2, y2)
Evaluate: x1+y1+x2+y2=
A. 2 sqrt19
B. 0
C. -2-2 sqrt19
D. 2
E. none of these
(from there are two solutions and the evaulate problem under it, the x1, y1 and x2, y2 are all not exponents but logs)

Click here to see answer by josgarithmetic(39620) About Me 

Question 936570: The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ).
y=x

Click here to see answer by Edwin McCravy(20059) About Me 

Question 936569: The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ).
x=5

Click here to see answer by Edwin McCravy(20059) About Me 

Question 936566: A woman walks 200 yards west along a straight shoreline and then swims 50 yards north into the ocean on a line that is perpendicular to the shoreline. Using her starting point as the pole and the east direction as the polar axis, give her current position in polar coordinates. Round the coordinates to the nearest hundredth. Express angle in degrees.
Click here to see answer by TimothyLamb(4379) About Me 

Question 936571: The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ).
x^2+y^2=1

Click here to see answer by Fombitz(32388) About Me 

Question 936596: Sketch the graph of the function by making a table of values. Use a calculator if necessary. (Round your answers to three decimal places.)
g(x) = 5ex when x=-2,-1,0,0.5,1,2

Click here to see answer by Fombitz(32388) About Me 

Question 936711: Solve the system (everything in this is logs not exponents) : {3x-y=6}{xy=24}
There are two solutions: (x1, y1) and (x2, y2). Evaluate x1+y1+x2+y2=
A. 8
B. 0
C. 8+6 sqrt3 i
D. -4
E. none of these

Click here to see answer by Fombitz(32388) About Me 

Question 936740: Is this function for exponential growth or decay? Find the constant percentage rate of growth or of decay.
ƒ(x) = 5 • 1.08x
Select one:
a. Exponential decay; 108%
b. Exponential growth; 108%
c. Exponential growth; 8%
d. Exponential decay; 8%

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

Question 936733: (3^4)(3^-2)
(5^2)^3
(2/3)^3
8^4-8^6
(7^6)(7^-6)

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

Question 936744: A polynomial function of degree 11 has at least __ x - intercept(s) and at most __ x - intercept(s).
Select one:
a. 11; 11
b. 10; 11
c. 10; 10
d. 1; 11

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

Question 936745: Solve the polynomial inequality
(x+7)(x+6)(x+2) > 0
Select one:
a. (-∞, -7) U (-6, -2)
b. (-7, -6) U (-2, ∞)
c. (-2, ∞)
d. (-∞, -6)

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

Question 936748: Solve the polynomial inequality
x4 - 104x2 + 400 < 0
Select one:
a. (-∞, -2) U (2, ∞)
b. (-10, -2) U (2, 10)
c. (-10, 10)
d. (-10, -2) U (2, ∞)

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

Question 922296: The decay of 601 mg of an isotope is described by the function A(t)= 601e^-0.019t, where t is time in years. Find the amount left after 34 years. Round your answer to the nearest mg. show all work for full credit.
Click here to see answer by tommyt3rd(5050) About Me 

Question 916330: Find the values of the constants C and b so that the curve y = Cb^(x) contains the points (4 , 3) and (5 , 6)
Click here to see answer by tommyt3rd(5050) About Me 

Question 936906: Calculate the angular and linear speed of the 26-inch bicycle rotating at 200 revolutions per minute. Express your angular speed in radians per minute and linear answer in inches per minute.

Click here to see answer by srinivas.g(540) About Me 
Question 936906: Calculate the angular and linear speed of the 26-inch bicycle rotating at 200 revolutions per minute. Express your angular speed in radians per minute and linear answer in inches per minute.

Click here to see answer by Alan3354(69443) About Me 

Question 937072: Determine the angular velocity in radians per second of 4.3 revolutions in 5 seconds.
Click here to see answer by TimothyLamb(4379) About Me 

Question 937075: Find the area of a sector of a circle if the central angle measures 90 and the radius measures 4 inches.
Click here to see answer by TimothyLamb(4379) About Me 

Question 937074: What is the period of the function f(x)=sin(1/7)x
Click here to see answer by Alan3354(69443) About Me 

Question 937367: Write as a single positive power. Show all steps
(1/64)to the power of 1/3 divided by 4 to the power of 2

Click here to see answer by lwsshak3(11628) About Me 

Question 937316: I didn't know where to put this question but the equation is 3^(2x+1)=1. The answer is apparently -1/2 but I have no idea how to get this.
Click here to see answer by lwsshak3(11628) About Me 

Question 937388: Find the quotient of the following expressions: 7(cos 5pi/6 +isin 5pi/6 /-2 (cos pi/2 +isin pi/2)
I got -7/4 + 7 square root 3/4 i
Is this correct?

Click here to see answer by Fombitz(32388) About Me 

Question 937382: Express -5(cos pi/2 +isin pi/2) in rectangular form.
I got -5i. Is this correct?

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

Question 937961: 15*0.7^x=101^x
Show work and explain please :)

Click here to see answer by Edwin McCravy(20059) About Me 

Question 938289: Use transformation to identify the graph of the function. Then determine its domain, range, and horizontal asymptote.
+f%28x%29=5%5E%28-x%29-3+

Click here to see answer by ewatrrr(24785) About Me 

Question 938627: e^x+1=9
Click here to see answer by MathLover1(20850) About Me 

Question 939001: How do I find the domain of g(t) = The square root of 1-6^t
Click here to see answer by srinivas.g(540) About Me 

Question 939561: Help!!! I don't know how to do this?
sin(2sin^-1(5/13))

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

Question 939942: %281%2F81%29%5E%284m%2B1%29%3E%281%2F27%29%5E5%2Am

Click here to see answer by brysca(112) 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