Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 53384: combine into a single log
2logbx-4logby
Click here to see answer by Nate(3500)

Question 53384: combine into a single log
2logbx-4logby
Click here to see answer by funmath(2925)

Question 53120: Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown here:

Using this formula, find . Round your answer to the hundredth's place.
Answer:
Show work in this space

Click here to see answer by vanetiks(6)

Question 53928: Sorry I did not give you the whole problem.
0.12 = 8 x 1/2^t/153
must solve for t
Click here to see answer by funmath(2925)

Question 54182: Hi, thank you in advance for your help. This problem looks easy, but I don't understand it!
Expand and simplify: ln(x/e)
Thanks again
Click here to see answer by Earlsdon(6287)

Question 54183: I tried this problem, but the answer that I got doesn't seem right to me. Any help would be great!

Write as a single logarithm (do not find approximations): 2 log 6 +log x-log 3.
Here is what I tried: log 6^2 +log x - log 3
log 6^2+x/3 = log 36+x/3
Thank you for your help
Click here to see answer by Earlsdon(6287)

Question 54257: HI, I am having trouble with these question. Any help will be apreciated ;)

What system of equations could your enter on your graphic calculator to solve the exponential equation 6^x-1=7
thanks
Click here to see answer by stanbon(57203)

Question 52981: I would appreciate if someone can help me with this word problem. I am stuck. Thank you.
Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown here:
log b
a = log a/log b
Using this formula I have to find log2 10000. I also have to round to the nearest hundreth's place.
Click here to see answer by venugopalramana(3286)

Question 54613: what is the answer for the problem slope=4, passing through (1,3)
Click here to see answer by tutorcecilia(2152)

Question 54936: PLEASE HELP ME;
Find the number LOG5(1/5)
Click here to see answer by rapaljer(4667)

Question 54935: PLEASE HELP ME SOLVE THIS PROBLEM;
Given that LOGa (x)=3.58 and LOGa (y) = 4.79, find LOGa(y/x)
Click here to see answer by rapaljer(4667)

Question 54933: PLEASE HELP ME WITH THIS PROBLEM:
Write the expression LOGa (y+5)+2 LOGa(x+1) as logarithm.
Click here to see answer by rapaljer(4667)

Question 54967: Express as a single logarithm:
4logA-(1/2)logB-log5C
Click here to see answer by funmath(2925)

Question 55004: Find the Inverse:
f(x)=( 1/2 )[ 10^(x-1)+5]
book answer: log(2x-10)+1
Click here to see answer by stanbon(57203)

Question 55009: Solve and find exact solutions.
4^(2x-1)=1/2
book answer: 1/4
Click here to see answer by mathchemprofessor(65)

Question 55009: Solve and find exact solutions.
4^(2x-1)=1/2
book answer: 1/4
Click here to see answer by venugopalramana(3286)

Question 55012: Rewrite expression as a single logarithm.
3log4(x^2)-4log4(x^-3)+2log4(x)
book answer:log4(x^20)
thank you!
Click here to see answer by psbhowmick(529)

Question 55179: HELP ME PLEASE:
SOLVE LOGa(8x+5)=LOGa(4x+29)
Click here to see answer by funmath(2925)

Question 55284: I WOULD REALLY APPRECIATE IF IT SOMEONE HELPED ME WITH THIS PROBLEM:
The decibel level of sound is given by D=10 LOG(I/10^-12), where I is the sound intensity measured in watts per square meter. Find the decibel level of a whisper at an intensity of 5.4*10^-10 watts per square meter.
Click here to see answer by stanbon(57203)

Question 56027: What is the solution to 80.81=9.53e^.5k + 72.9?
(Solving for k, e is the number e)
Click here to see answer by stanbon(57203)

Question 56097: 1)solve 9*6t=9/36
2) solve In p=6.0
3) using the formula R-0.17 + 0.44 log N, determine how many choices would result in a reation time of 0.42 seconds. Round your answer to the nearest whole number.
Click here to see answer by stanbon(57203)

Question 56100: 3) using the formula R=0.17 + 0.44 log N, determine how many choices would result in a reaction time of 0.42 seconds. Round your answer to the nearest whole number. I started the formula as:
.42=0.17 + 0.44 log N
Click here to see answer by stanbon(57203)

Question 56156: Solve 7^a+4=115.If neccessary, round to the nearest hundredth
Click here to see answer by stanbon(57203)

Question 56156: Solve 7^a+4=115.If neccessary, round to the nearest hundredth
Click here to see answer by ankor@dixie-net.com(15622)

Question 56704: write as a single log:
2log2+3logx-1/2[log(x+3)+log(x-2)]
Click here to see answer by funmath(2925)

Question 56747: I having trouble solving this equation
log (x+3)=1-log x
Click here to see answer by funmath(2925)

Question 57019: What relevance and application of logarithmic functions in real-life situations
Click here to see answer by ankor@dixie-net.com(15622)

Question 56981: logx=(1/3)log64 + (1/2)log121
Click here to see answer by venugopalramana(3286)

Question 57209: 1)show me how to compute the following:
log_2(4)log_4(6)log_6(8)

2a)write as sum and difference logs:
b)show log_b(A/D)=log_b(A)-log_b(D)
log_4[-4^3x^2(x-1)^1/2/(x+3)^3

Click here to see answer by stanbon(57203)

Question 57142: How do I find different ways to write log(100)using logs and powers using only intergers 0, 1, 2, 3, 10 and logs?
Click here to see answer by venugopalramana(3286)

Question 57683: How do you solve 25^(x+5)=125^(x+4) I think you are supposed to use the change of base formula? I keep getting confused when I take the log of both sides. Hope you can help. Thanks
Click here to see answer by funmath(2925)

Question 57960: How would you solve for x.
.009959=log(x)
Click here to see answer by stanbon(57203)

Question 58063: find log 1000 where log means log to the base of 10
Click here to see answer by rcmcc(152)

Question 58064: to find the log of a number to any base we can use formula as shown here
log a= log a/log b
using this formula log 2 1000 round your answer to the hundreth place.
Click here to see answer by funmath(2925)

Question 58264: write the expression loga(y+5)+2loga(x+1) as on e logarithm
Click here to see answer by funmath(2925)

Question 58551: 4) For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula
..............r/)nt
A=P(1+ /n) ,let r = 8%, P = 1, and n = 1 and give the coordinates (t,A) for the points where t = 0, 1, 2, 3, 4. Round the A value to the tenth's place.
a) Show coordinates in this space.
Show work in this space.

b) Show graph here.
Thanks Tine
Click here to see answer by stanbon(57203)

Question 58555: 5) Logarithms:
a) Using a calculator, find log 1000 where log means log to the base of 10.
Answer:

b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:
log b a=log-a/log-b

Using this formula, find log sqr 1000 . Round your answer to the hundredth's place.
Answer:
Show work in this space.
thanks Tine I am having the hardwst time with these could you give me some dirrection thanks?
Click here to see answer by Nate(3500)

Question 59282: log3 x=2
Click here to see answer by funmath(2925)

Question 59281: Given log10 11=wand log10 5=x, find log10 55
Click here to see answer by funmath(2925)

Question 59509:

Solve for x

(log₃x)² + log₃x² + 1 = 0

Click here to see answer by Edwin McCravy(8879)

Question 59602: Calculate log 4235 to four decimal places.
Click here to see answer by funmath(2925)

Question 59601: Express the expression log2x^3z/y^2 in terms of logarithm of x, y, and z.
Click here to see answer by funmath(2925)

Question 59600: Write the expression logb(x-1)+3logb(x-2)-2logb(x+3) as a single logarithm. Assume that the variables represent positive numbers.
Click here to see answer by funmath(2925)

Question 59599: Evaluate log5(3125). I am not sure how to make the 5 small just below the g on log.
Click here to see answer by uma(370)

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