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 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(4667)

Question 35647: find logcos(pi/5)
thanks so much if you can help me
Click here to see answer by stanbon(57395)

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(4667)

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(57395)

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(4667)

Question 35648: write as a single logarithm:
2lne + lne^2+lne^4
thanx!
Click here to see answer by stanbon(57395)

Question 35649: write as a single logarithm:
4ln3
thanx!
Click here to see answer by stanbon(57395)

Question 35700: If the diameter of a circle is 1.3X10^-12 meters,then what is its radius?
Click here to see answer by stanbon(57395)

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
Click here to see answer by Nate(3500)

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(57395)

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
Click here to see answer by stanbon(57395)

Question 35822: ln square root of x = 3
Click here to see answer by rapaljer(4667)

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(4667)

Question 35849: Could you please help me with this one too
(3/2) ^ x = 16/81
Click here to see answer by stanbon(57395)

Question 35821: ln1/x = 2
Click here to see answer by rapaljer(4667)

Question 35863: ln(1/x) = 2
Click here to see answer by rapaljer(4667)

Question 35863: ln(1/x) = 2
Click here to see answer by AnlytcPhil(1278)

Question 35862: express as a single logarithm: ln7 + 1/2 ln9
Click here to see answer by rapaljer(4667)

Question 35860: write the equation in logarithmic from: cube root of e = 1.40 or 3^root of e = 1.40
Click here to see answer by rapaljer(4667)

Question 35519: please help me solve: log y =log(0.5x-3) + log 2, i'm suppose to express y as a function of x
none of the numbers ar little, and i know that the restriction is x>6
Click here to see answer by rapaljer(4667)

Question 35958: the question is tell wether x and y show direct variation,inverse variation or neither 1.y=3x 2.y=2/x 3.x+y=7 4.xy=5
Click here to see answer by stanbon(57395)

Question 36045:
Click here to see answer by rapaljer(4667)

Question 36046: Solve for X:
e^x+3e^-x-18=0
Click here to see answer by venugopalramana(3286)

Question 36082: Can't quite figure this one out.
ln(x^2)+ln(8x)=3
Click here to see answer by stanbon(57395)

Question 36216: please help me with this equation:
Click here to see answer by Prithwis(166)

Question 36242: 5 square root x/9 =7
Click here to see answer by benni1013(197)

Question 36238: log a(3x + 5) - log a (x - 5) = log a 8
Click here to see answer by Prithwis(166)

Question 36237: solve the equation: log a (3x + 5) - log a (x - 5) = log a 8
Click here to see answer by Prithwis(166)

Question 36228: log6x=3
Click here to see answer by Prithwis(166)

Question 36234: express the logarithm in terms of log2 M and log2 N: log2 cube root of M^2N
Click here to see answer by stanbon(57395)

Question 36386: Hello,
What is the domain and range of f? f(x)= -4x

Click here to see answer by Prithwis(166)

Question 36250: logx = -2.91
Click here to see answer by rapaljer(4667)

Question 36638: Hi: I need help here! Thanks so very much!
Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) = 10t", where t is the elapsed time in minutes. How would you apply logarithms to determine when the sample will grow to 5 billion viruses?
Click here to see answer by Paul(988)

Question 36721: I don't know how to solve this problem:
log(base 8)x = 1/3
I got this far:
8^1/3 = x
Click here to see answer by josmiceli(9697)

Question 35521: A sky diver in free fall travels at a speed modeled by
V(t) = 176(1 – e – 0.18 t)
ft per second after t seconds. How long will it take for the skydiver to attain the speed of 60 mph (note: 60 mph = 88 ft/sec)?
Click here to see answer by venugopalramana(3286)

Question 36852: Not sure on how to go about this problem.
4(Exponet 2x)=9(exponet x-1). solve for x
Click here to see answer by stanbon(57395)

Question 37055: This question has been bothering me for quite a while now.
4 x 5^(X+2) = 5 x 4^(2X)
(big 'X' is the variable, solve for X)
I tried taking the log of both sides to get
log 4 + (X+2)log 5 = log 5 + (2X)log 4
then group like terms
(X+2)log 5 - (2X)log 4 = log 5 - log 4
then I get stuck...
any help?
Click here to see answer by stanbon(57395)

Question 37073: True or false, the function f(x) =3x
grows three times faster than the function g(x)=X
Click here to see answer by stanbon(57395)

Question 37188: please help me solve this:
log x = 3
thanks. mallory
Click here to see answer by fractalier(2101)

Question 37231: What is the natural log ln e^5
Click here to see answer by stanbon(57395)

Question 37233: what is ln 4+ ln 3^6
Click here to see answer by Nate(3500)

Question 37295: Expand each logarithmic expression as much as possible:
log sub b (x^3y/z^2)
I've been trying to work at this and another all day but can't figure it out to save my algebra butt. final is tomorrow and she said to expect ones like this. Any help would be just so wonderful.
Click here to see answer by jcmtnez(53)

Question 37327: Again it's the e that's throwing me off.
ln Sq rt ex
Expand the logarithmic expression as much as possible.
Any help? Final is tomorrow and this is another that she said to watch for.
Click here to see answer by longjonsilver(2297)

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