Questions on Algebra: Logarithm answered by real tutors!

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Algebra: Logarithm

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Question 222986: I cannot figure this out. I have tried and tried. I hope you can help me.
Express as a single term that does not contain a logarithm: e^ln8x^5-ln2x^2
everything after the e is the exponent
Thank you
Click here to see answer by stanbon(26259)

Question 223004: Here is the problem using natural logarithm:
23=3ln(x-1)+14
What we did was the following:
23=3ln(x-1)+14
subtract 14 from both sides
9=3ln(x-1)
divide both sides by 3
3=ln(x-1)
x-1=e^3
add 1 to both sides
x=e^3+1
Please help!!! It's driving us nuts!!
Click here to see answer by jim_thompson5910(13787)

Question 223208: what is the log rhythm of 51?
Click here to see answer by rfer(2688)

Question 223055: log 16/log 32
Click here to see answer by jsmallt9(590)

Question 223493: estimate the radius r, of a circular region with an area of 27ft^2 where A=pi*r^2
r=? ft
I tried to use 27ft^2=729ft pi=3.14 , but don't know how to solve for r in feet? Could you please explain to me what I should do? Thanks!
Click here to see answer by Alan3354(6059)

Question 223979: logx=0.51 it asks me to find x=?
10^x=0.038 find x=? ***it shows x (a wavey equals sign) what is this sign?
***It says rewrite to use calculator??? It says to round answer to 3 nearest three decimal places.
I am not sure what they are asking of me...I do understand about the decimal places and the powers of 10. Could someone please help me?
Click here to see answer by ankor@dixie-net.com(6691)

Question 224112: I was wondering how would you solve a problem like this: log(2x+3) = 6
Click here to see answer by rapaljer(3620)

Question 224160: log(4+3^5x)=log(8)
Click here to see answer by stanbon(26259)

Question 224141: write the expression log(x-5) - log y-2 logz over 3 as a simple log and simplify
Click here to see answer by stanbon(26259)

Question 224136: Express log(9) 20 as a quotient of natural logs
Click here to see answer by nerdybill(2446)

Question 224294: I need to solve ln(x)= 3-ln(x+2)
Click here to see answer by rapaljer(3620)

Question 224326: write the expression as the logarithm of a single quantity:
2ln8 + 5lnz
Click here to see answer by rapaljer(3620)

Question 224352: I am having a hard time of this question i would really appreciate the help.
Solve for x: log(x-2)+ log x = log 3
I just don't do how to put all togther.
Thank you!!!!!
Click here to see answer by solver91311(5072)

Question 224522: How can I solve: ln(cosx)=-1
the answer I think is 1371.58
Click here to see answer by rapaljer(3620)

Question 224524: How to solve:
e^sinx = 4^cosx
Click here to see answer by rapaljer(3620)

Question 224573: condense each expression to a single logarithm
I am stuck on this question
Click here to see answer by drj(1380)

Question 224573: condense each expression to a single logarithm
I am stuck on this question
Click here to see answer by Edwin McCravy(2920)

Question 224867: how do i solve foe x using 3 decimal places in this
9x^2=27^3x2?
Click here to see answer by Alan3354(6059)

Question 224940: I am really having a hard time figuring this problem out.
Evaluate f(x)=4x^2-7forf(1/2)
I don't really know what this ^ means
Click here to see answer by Earlsdon(4898)

Question 224944: Driving down a mountain, George finds that he has descended 1800ft in elevation by the time he is 3.25 miles horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
I am going to go out on a limb and try this one, please tell me if im on the right track.
y = 3.25x + 1800

Click here to see answer by RAY100(1637)

Question 225278: Express the following as an equivalent expression using the individual logarithms of w, x, y, and z.
Log a[ (x y^2 w ) / z^2 ]

Click here to see answer by jsmallt9(590)

Question 225274: Find f(x) and g(x) such that h(x) = (f ◦ g)(x) and h(x) = √(x – 7) – 3.
Click here to see answer by LtAurora(115)

Question 225276: If all who hear a rumor repeat it to two people a day, and if 20 people start the rumor, then number of people N who have heard the rumor after t days is given by N(t) = 20(3)t. After what amount of time will 1000 have heard the rumor?
Click here to see answer by jsmallt9(590)

Question 225454: A pump is attached to a container for the purpose of creating a vacuum. For each stroke of the pump 1/3 of the air remaining is the container is removed. To the nearest tenth of a persent, how much of the air remains in the container after 7 strokes?
Thank You!
Click here to see answer by Alan3354(6059)

Question 225483: Express log 65 + log 2 as a single equivalent log expression.
Click here to see answer by nerdybill(2446)

Question 225505: Can you please show me the steps towards solving this problem?
Log8^64 + Log8^192 - Log8^3 =
Thank You if you can solve it. The ^ means, to the power of.
Click here to see answer by Alan3354(6059)

Question 225565: A car depreciates by 30% the first year and 12% per year afterward. How much will a $25000 car be worth after 5 years?
Click here to see answer by drj(1380)

Question 225812: express a single logarithm. 1/2loga+3logb
Click here to see answer by solver91311(5072)

Question 225812: express a single logarithm. 1/2loga+3logb
Click here to see answer by nerdybill(2446)

Question 225934: Determine if f(x) = (3x + 2) / 5 is one-to-one. If so, find its inverse.
Click here to see answer by nerdybill(2446)

Question 225935: The bacteria E Coli are found in the human bladder. Suppose 3,000 bacteria are present at time t = 0. Then, t minutes later the number of bacteria present can be approximated by N(t) = 3000(2)t/20.
How many bacteria will be present after 40 minutes?
How long will it take before there are 100,000 bacteria present?

Click here to see answer by nerdybill(2446)

Question 225933: Find f(x) and g(x) such that h(x) = (f ◦ g)(x) and h(x) = √(x – 7) – 3.
Click here to see answer by Edwin McCravy(2920)

Question 226338: Rewrite the following expression using one or more properties of logarithims and evaluate>
LOG5 125 + log5 5 =
Click here to see answer by nerdybill(2446)

Question 226392: You have just isolated a new radioactive element. If you can determine its
half-life, you will win the Nobel Prize in physics. You purify a sample of 2 grams. One of
your colleagues steals half of it, and three days later you find that 0.1 gram of the
radioactive material is still left. Find an exponential model for this problem in the form
!
A(t) = P*e^k-t and find the half-life for this element?
Click here to see answer by nerdybill(2446)

Question 226444: convert to logarithmic form
b. 3 = 6y

Click here to see answer by user_dude2008(715)

Question 226500: logx-log(x-1)=2
Click here to see answer by user_dude2008(715)

Question 226504: change from lograithmic form to equivalent exponential form
1og3 81=4
log10 0.0001=-4
log3 (1/243)=-5
Click here to see answer by user_dude2008(715)

Question 226504: change from lograithmic form to equivalent exponential form
1og3 81=4
log10 0.0001=-4
log3 (1/243)=-5
Click here to see answer by solver91311(5072)

Question 226505: change exponential form to equivalent logarithmic form
32=2^5
1/125= 25 -3/2 power
12=144 1/2 power
Click here to see answer by user_dude2008(715)

Question 226501: e^-0.2=3
Click here to see answer by user_dude2008(715)

Question 226994: log10^3 + log10^-7
Click here to see answer by jsmallt9(590)

Question 226911: Formula: M=log(A/Ao)*o should be a subscript**. Magnitude of an earthquake on the Richter scaleis based on A, measurement of a seismic wave, and Ao, the measurement of a seismic wave of a level zero earthquake with the same epicenter. An earthquakewas recorded which was 7,943,282 times more powerful than a reference level zero earthquake. What is the magnitude of this earthquake?
Click here to see answer by ankor@dixie-net.com(6691)

Question 227316: 1.1(2.6)^2x = 6(4.4)^x
I have to solve for x and I need the exact solution, not a decimal.
I am getting really frustrated because everytime I try something, it leads me to a dead end. Please help?
Click here to see answer by rapaljer(3620)

Question 227523: solve ln(4x-2)=3

Click here to see answer by rapaljer(3620)

Question 227524: solve 29=3e^(2x)
Click here to see answer by rapaljer(3620)

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