Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 446143: log 4x= -5
Click here to see answer by robertb(4012)

Question 391253: A worker can produce P(w)= 20W/w+1 items per day after w weeks of training. Draw the graph of P.
Write an equation of the horizontal asymptote of the graph of P.
Click here to see answer by rosarie123(1)

Question 446142: The number of books in a small library increases according to the function where t is measured in years. How many books will the library have after 2 year(s)?

Click here to see answer by richard1234(5390)

Question 446452: The altitude of an aircraft, h, in miles, is given by h=-(100/9)logp/b, where P = the outside air pressure, and B = the atmospheric pressure at sea level. Let B = 31 inches of mercury (in. Hg). What is the outside air pressure at a height of 3.6 miles? Round your answer to the nearest tenth.
Click here to see answer by josmiceli(9817)

Question 446463: Have A couple questions about logs
I'm supposed to solve e^2x=0.4 i got 2
i have to simplify ln e^x+6 i got x+6
and given that log base a 5=0.8271 and log base a 20=1.5395 find log base a 4?
Click here to see answer by nerdybill(7008)

Question 446498: Given log.z2 =0.356 and log .z5 =0.827 , find log.z10
Click here to see answer by Alan3354(31528)

Question 446498: Given log.z2 =0.356 and log .z5 =0.827 , find log.z10
Click here to see answer by stanbon(57967)

Question 446447: Solve the logarithmic equation for x. (Round your answer to four decimal places.)
ln(x − 6) + ln(x + 7) = 1
Click here to see answer by nerdybill(7008)

Question 446445: Solve the logarithmic equation for x. (Round your answer to four decimal places.)
ln(x − 6) + ln(x + 7) = 1
Click here to see answer by ankor@dixie-net.com(15746)

Question 446626: 27^-2/3=1/9
Click here to see answer by oberobic(2304)

Question 446628: 16^-3/4=1/8
Click here to see answer by stanbon(57967)

Question 446837: log 3=2 with log base x-1

Click here to see answer by chriswen(106)

Question 446837: log 3=2 with log base x-1

Click here to see answer by mohammadrezai(14)

Question 446836: Hi, I'd really appreciate any help. My question is: Suppose log(base b)2=a and log(base b)3=c. Use the properties of logarithms to find log(base b)72b. Now, the only place I could think to start was to say b^a=2 and b^c=3 but then I have no idea where to go from there. I can't see how any of the log properties are applying here. Thanks in advance!
Click here to see answer by mohammadrezai(14)

Question 446706: write 2log(x)- 4log(x+2)as a simple logarithm
Click here to see answer by mohammadrezai(14)

Question 446706: write 2log(x)- 4log(x+2)as a simple logarithm
Click here to see answer by Alan3354(31528)

Question 446950: I need an exponential decay growth for this problem:
The first cleaning takes you 135 minutes. You notice that for each cleaning after that, you decrease the time it takes from the week before by one-fifth. I need to deterine the function to model.
I'm thinking it is y=(1/5)^x, but I'm not sure.
Thanks for your help.
Click here to see answer by htmentor(808)

Question 447070: homewrok is due, please help!!!!
1/3(log base 4 of x + log base 4 of 2) - 2 log base 4 of y in single logrithmic form
Click here to see answer by poliphob3.14(115)

Question 447124: Convert to a logarithmic equation:
2^-5=1/32
Click here to see answer by stanbon(57967)

Question 447134: Solve: logx 216=3
Click here to see answer by chriswen(106)

Question 447349: hello, ok so my math teacher is quizzing me in this i am a freshman in highschool Algebra 1 and i am the smartest in the class and i do not understand this...
27^2/3
i would like the steps in there i mean i get that it's:
(27^1/3)^2 but i do not get the steps and the answer..also i would like some help with negative ones too like:
27^-2/3
and the steps its sooo confusing!! and to explain it more because my math teacher wont tell me...thankyou!! (:
Click here to see answer by stanbon(57967)

Question 447333: log 3 1 over 27
Click here to see answer by lwsshak3(6761)

Question 447443: Solve: log10 x + log10 (x – 3) = 1
Click here to see answer by stanbon(57967)

Question 447441: Evaluate: log2 (log5 5)
Click here to see answer by stanbon(57967)

Question 447440: Evaluate: log2 (log4 16)
Click here to see answer by stanbon(57967)

Question 447446: If log-a 4=1.386, log-a 5=1.609, and log-a 6=1.792 find the following:
log-a 2/3
log-a 20
Click here to see answer by ClassPad(3)

Question 447442: Solve: log5 (3x – 2) = 1 + log5 (x – 4)
Click here to see answer by stanbon(57967)

Question 447460: To clean your room on a weekly basis, the first cleaning takes you 135 minutes. You notice that for each cleaning after that, you decrease the time it takes from the week before by one-fifth.
In which week will it take you less than 15 minutes to clean your room?
How long will it take you in the 20th week to clean your room?

I think I use 135(4/5)^x but I'm not sure.
Thanks for your help.
Click here to see answer by stanbon(57967)

Question 447543: Solve for X:
9 ^(-x-3) = 14 ^(-4x)
Write the exact answer using base-10 logarithms.
Click here to see answer by htmentor(808)

Question 447558: 6^3^x = 73
Click here to see answer by Alan3354(31528)

Question 447621: Condense the expression to the logarithm of a single quantity.
4ln(x) - 4(ln)y
Click here to see answer by Alan3354(31528)

Question 447618: Condense the expression to the logarithm of a single quantity.
Log (base 3) 13 + log (base 3) y
Click here to see answer by Alan3354(31528)

Question 447643: Express in terms of logarithms of a,b, and c:
log (a^1/3 b^1/2) / c
Click here to see answer by chriswen(106)

Question 447732: How do I solve 7^3b = 12^b+2? I don't know how to even start this problem... Thank you!
Click here to see answer by Gogonati(817)

Question 447700: solve for x; 9 to the x power = .75
Click here to see answer by ankor@dixie-net.com(15746)

Question 448071: The size of an earthquake is measured using the Richter scale and is given by the formula R=(I/0.001), where I is the intensity of the quake measured in millimeters when measured 100km from the epicenter. If an earthquake has an intensity of 7943mm when measured 100km from the epicenter, what is the size of the earthquake to the nearest tenth on the Richter scale?
Click here to see answer by jorel1380(2518)

Question 448012: What's the logarithmic form of?
4^-2=1/6
Click here to see answer by jim_thompson5910(28715)

Question 448012: What's the logarithmic form of?
4^-2=1/6
Click here to see answer by lwsshak3(6761)

Question 448123: log(4-3x)-log145=-2
Click here to see answer by htmentor(808)

Question 448350: log15+log3-log9
Click here to see answer by jim_thompson5910(28715)

Question 448377: solve for x:
2^logx= 1/4
Click here to see answer by bucky(2189)

Question 448413: I have a test tomorrow so I was wondering if you could help me with these two questions.
Write as a single logarithm:
ln(2x)+lnx^3-ln(x-3)
and
Solve the following equations for the unknown:
2x-x^2=-x
thank you!
Click here to see answer by edjones(7569)

Question 448430: Write as a single logarithm:
ln(2x)+lnx^3-ln(x-3)
x is the variable
Click here to see answer by edjones(7569)

Question 448536: Find the exact solution to the equation 5 ln(2x+6)=12. DO not give a decimal approximation. Thanks
Click here to see answer by josmiceli(9817)

Question 448545: Find the exact solution to the exponential equation 35=18(0.8)^q. (Do not give a decimal approximation)
Click here to see answer by Edwin McCravy(8999)

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