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

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Question 35103: i really need help on these ones they got me really confused i would appreciate it if i could get some help answering these thank you
find the sum of the arithmetic sequence having the data given.
a1 = 5, an = 3, n = 20
a1 = 7, d = - 3, n = 20
a1 = 81, an = - 13, n = 20
a1 = 5, d = 7, n = 120
an = 5, d = -2, n = 12
In exercises 6-7, find the first term of the arithmetic sequence having the data given.
an = 48, Sn = 546, n = 26
Sn = 781, d = 3, n = 22

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Question 35087: log (x+21) + log x = 2
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Question 35087: log (x+21) + log x = 2
Click here to see answer by Prithwis(166)

Question 35179: Solve equation
log7 (3x-11) = log7 (x-3)
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Question 35192: Problem goes like this.....
Solve equation.
log (x+5) - log (x-1) = log (x+2) - log (x-3)
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Question 35195: The problem goes like this....
Solve Equation
log4 (x^2 - 4) - log4 (x + 2) = 2
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Question 35219: solve for x: log2x + log2(x+2)=3
the two next to the log is a little two --
this is not from a book it is from a worksheet:)
Click here to see answer by longjonsilver(2297)

Question 35225: Find log7 12 (to four decimal places)
the seven is a little seven
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Question 35250: Find y as a function of x if e to the y-C (y-c is the exponent) = x + 4
I got y = square root of x+4 + C - I don't know if this is right?
Click here to see answer by Earlsdon(6294)

Question 35303: please help me, im so confused!
Solve 5^(sin2x) = 3.307
if i wasnt clear sin2x is the exponent of 5. we're learning about logarithms and natural logs and stuff, i just dont get it!
Click here to see answer by longjonsilver(2297)

Question 35326: Problem goes like this...
Solve Equation.
log2 (5x+7) - log2 x = 2
Click here to see answer by narayaba(40)

Question 35332: Question goes like this....
Solve Equation.
2log2 (x+6) - log2 16 = 2
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Question 35350: Question goes like this....
Solve Equation.
log x + log (x+2) = log 3
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Question 35396: Find x to 4 decimal places: 1n x- 41n 3 = 1n(5/x)
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Question 35305: solve, leaving answer in scientific notation:
use logs to fine the 7th root of 4.82 X 10^358
thanks!
Click here to see answer by stanbon(75887)

Question 35345: write as a single logarithm with coefficient one: 3log4x (the four is little) + 1/2log4 (the four is little) square root x
I got log4 (little four) x to the 13/4 (13/4 is an exponent) - please help...not sure if I got this or not:)
Click here to see answer by stanbon(75887)

Question 35467: If log 8 (little 8)M = log 5(little 5) 7/log 5(little 5)8, then M = ?
Click here to see answer by rapaljer(4671)

Question 35470: I'm really struggling with this problem:
The amount of radioactive material, in grams, present after t days is modeled by
A(t)=500e to the -0.05t (-0.05t is the exponent)
a)What is the initial amount of material?
b)How much material is left after 10 days?
c)Find the half-life of the material.
Click here to see answer by Nate(3500)

Question 35465: Solve the equation for x: 2 to the 3x (3x is the exponent) = 3 to the 2x+1 (2x+1 is the exponent) -
I got log 3 over 3 log 2 - 2 log 3 -- is this right?
Click here to see answer by rapaljer(4671)

Question 35323: i am so confused i cant understand how to start or finish this problem log(5)625
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Question 35270: Find x to 4 decimal places: In x-41n 3 = 1n(5/x)
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Question 35518: Solve for x: (1/8) to the 2x-1 (2x-1 is the exponent) = 8 to the x-1 (x-1 is the exponent.
Click here to see answer by Nate(3500)

Question 35518: Solve for x: (1/8) to the 2x-1 (2x-1 is the exponent) = 8 to the x-1 (x-1 is the exponent.
Click here to see answer by Prithwis(166)

Question 35520: how do you solve equations that have different logs: log5(x-4) = log7x, solve for x
The 5 and the 7 are little
Click here to see answer by narayaba(40)

Question 35609: I am totally lost. We just started this section last friday and he gave us an example equation but im not following. the direcions for the foirst section say that log3 7= 1.7712 and the problem is log3 49 and i guess it would be for multiplying but otherwise i am totally clueless. i would very much appreciate help!.
-Sam
Click here to see answer by rapaljer(4671)

Question 35647: find logcos(pi/5)
thanks so much if you can help me
Click here to see answer by stanbon(75887)

Question 35645: please help me solve this using logarithms
8^(3x+4) = 3^x
stuff to the right of the ^'s are exponents....thanks!
Click here to see answer by rapaljer(4671)

Question 35646: help!!!
solve, leaving answers in scientific notation
find loglog200
what does that even mean? and yes there are two logs here
Click here to see answer by stanbon(75887)

Question 35646: help!!!
solve, leaving answers in scientific notation
find loglog200
what does that even mean? and yes there are two logs here
Click here to see answer by rapaljer(4671)

Question 35648: write as a single logarithm:
2lne + lne^2+lne^4
thanx!
Click here to see answer by stanbon(75887)

Question 35649: write as a single logarithm:
4ln3
thanx!
Click here to see answer by stanbon(75887)

Question 35700: If the diameter of a circle is 1.3X10^-12 meters,then what is its radius?
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Question 35697: The perimeter of a rectangular backyard is 6x+6 yards. If the width is x yards, find a binomial that represents the length
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Question 35695: Sam lives on a lot that the thought was a square, 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer that he thought and the other side was actually 2 feet shorter that he thought. How much less area does he have than he thought he had?
Click here to see answer by Nate(3500)

Question 35802: How may I go about solving ? Thank you!
Click here to see answer by stanbon(75887)

Question 35816: true or false: bank A offers 6% interest compounded quarterly. Bank B offers 6.1% compounded quarterly. Bank A pays more interest per year.
please help me
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Question 35822: ln square root of x = 3
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Question 35818: Express as a single logarithm: ln 8 - ln2
these kinda problems get on my nerves , help me please
Click here to see answer by rapaljer(4671)

Question 35849: Could you please help me with this one too
(3/2) ^ x = 16/81
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Question 35821: ln1/x = 2
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Question 35863: ln(1/x) = 2
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Question 35863: ln(1/x) = 2
Click here to see answer by AnlytcPhil(1806)

Question 35862: express as a single logarithm: ln7 + 1/2 ln9
Click here to see answer by rapaljer(4671)

Question 35860: write the equation in logarithmic from: cube root of e = 1.40 or 3^root of e = 1.40
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