Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 41585: evaluate:
3log^84
Click here to see answer by stanbon(57410)

Question 41583: write as a logarithm of a single number:
2lna+7lnb-3lnc-lnd
a= ln(14ab/3cd)
b= ln(14abd/3c)
c= ln(a^2b^7d/c^3)
d= ln(a^2b^7/c^3d)
Click here to see answer by stanbon(57410)

Question 41587: solve:
(0.8)^n=e^2
i dont know what type of problem it is so i put logarithm
Click here to see answer by stanbon(57410)

Question 41576: Solve the following equations:
a) 5^2x+1=48 b) log6(x+41)-log4(x+1)=2

Click here to see answer by AnlytcPhil(1278)

Question 41720: Log5 1/625. the question asks evaluate the logarithm.
Click here to see answer by josmiceli(9697)

Question 41815: I need your help
to solve for x
in the equation
3ln(2-x)=6
I tried to solve it but I'm not sure if my answer is correct
3ln(2-x)=6
ln2/lnx=2
ln2=2lnx
e^(2-x)=2
ln(2-x)=2
e^2=e^ln(x+5)
e^2-5=x
Click here to see answer by venugopalramana(3286)

Question 42137: what is the value of x?
log x=3.1
Click here to see answer by fractalier(2101)

Question 42299: 1/2log(x)-log(y)+log(z)-1/3log(w)
rewrite as a single logarithm
Click here to see answer by psbhowmick(529)

Question 42305: find an appropriate rational solution to each equation. round answer to four decimal places
3^x=12
Click here to see answer by fractalier(2101)

Question 42306: solve the equation and round the answer to four decimal places
(1+r/4)^20=3
Click here to see answer by Nate(3500)

Question 41721: Use the properties of Logarithms to evaluate:
Log sub3 9+Log sub3 36-log sub3 4.
Click here to see answer by fractalier(2101)

Question 42302: rewrite as a single logarithm
5/6log2(x)+2/3log2(y)-1/2log2(x)-log2(y)
Click here to see answer by psbhowmick(529)

Question 42403: Question with logarithms: Hi I'm wondering something about logarithms. I have this equation to prove which looks like this: b ^ log_b (x) = x Where ^ means exponent and _ means subscript.
Click here to see answer by fractalier(2101)

Question 42307: Colombian Earthquake of 1906 At 8.6 on the richter scale, the Colombian earthquake of January 31, 1906, was one of the strongest earthquakes on record. Use the formula log(I)-log(Io) to write I as a multiple of Io for this earthquake.
Click here to see answer by fractalier(2101)

Question 41178: I need to solve this log problem:

1) log( 8, (n-3)) + log( 8 (n + 4)) =1

I believe that the "logs" cancel out because they both have the same base. Then I dont understandwhat to do from there

Click here to see answer by Nate(3500)

Question 42545: Express as a sum of logarithms:
log 0.2x
Click here to see answer by fractalier(2101)

Question 41643: 2log(x-5)=log9
Click here to see answer by tran3209(100)

Question 36009: I'm not sure how to write this problem as a single logarithm and simplify it, if possible.
3log5^2-2log5^3
Click here to see answer by tran3209(100)

Question 36009: I'm not sure how to write this problem as a single logarithm and simplify it, if possible.
3log5^2-2log5^3
Click here to see answer by Nate(3500)

Question 42665: 6e^3x-6=18
Click here to see answer by rapaljer(4667)

Question 42665: 6e^3x-6=18
Click here to see answer by Nate(3500)

Question 42666: (square root of 7)^x+4=49x

ln2x+ln8x=ln17
Click here to see answer by astromathman(21)

Question 42991: Please help.

Click here to see answer by fractalier(2101)

Question 43039:

Given that 0.475 < log base 10 of 3 < 0.478, how 

many digits are in the number 3⁵⁰? 

Click here to see answer by AnlytcPhil(1278)

Question 42997:
Click here to see answer by psbhowmick(529)

Question 42997:
Click here to see answer by Nate(3500)

Question 42996:
Note-Log is to the BASE OF 3
Click here to see answer by Nate(3500)

Question 43262: solve x
logx 25 = -2
***the x is subscript of log
Click here to see answer by venugopalramana(3286)

Question 43262: solve x
logx 25 = -2
***the x is subscript of log
Click here to see answer by AnlytcPhil(1278)

Question 43339:
Click here to see answer by stanbon(57410)

Question 43432: James did the following addition problem: 440 + 340 = 1000. This problem is done correctly. In what base was James writing his numbers?
Click here to see answer by fractalier(2101)

Question 43604: What in the world does this mean? Please Please, HELP!
Using a calculator, find log 10000 where log means log to the base of 10.
Answer

Most calculators have 2 different logs on the: log, which is based, 10, and In, 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:

Click here to see answer by stanbon(57410)

Question 43687: solve for x 2+4(5)^x=16
Solve for x Log of 7 (5x-1)=2
Log of 2 (1- x) - Log of 2 (-2x)=3
Log (-2x)+ Log (3)=Log (96)
Click here to see answer by stanbon(57410)

Question 43697: Solve for x
Log of 2 2^x-5=5 I have x=7.32
Lne^-2x=-10 I have X=1.61
3^x = 30 I have 3.096 Use change of base formula and a clculator to approximate each logarithm to 3 decimal places.
Log of 5 1.256 I have =0.142
Log(-7)= can't take lof of a negative number.
Please help.
Click here to see answer by Nate(3500)

Question 43696: Suppose and g(x) =Ln (3-x) Evaluate the following to 3 decimal places.
A. f(2.7) I have -1.204 B. g(-5) I have 2.079
Click here to see answer by Nate(3500)

Question 44020: Find the number log5(1/5). Thanks for any help available.
Click here to see answer by stanbon(57410)

Question 44021: How do i express u=ln x^2 as a function of u?
Click here to see answer by stanbon(57410)

Question 44102: Given that log a (x)=3.58 and log a (y)=4.79, find log a (y/x). Thank you for any help.
Click here to see answer by fractalier(2101)

Question 44103: Write the expression log a(y+5)+2log a (x+1) as one logarithm. Thank you for your help on this:)
Click here to see answer by fractalier(2101)

Question 44101: Solve log a (8x+5)=log a (4x+29). Thank you for any help you can provide.
Click here to see answer by fractalier(2101)

Question 44274: Could someone please help me I have a test and I need to pass it. Thanks!!!!

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, find Log2 10000. Round your answer to the hundredth's place.
Answer:
Show work in this space

Click here to see answer by adamchapman(301)

Question 44509: What is 10000 where a log means log to the base of 10?
Click here to see answer by stanbon(57410)

Question 44536: For the function defined by f(x)=5x-4, find a formula for f^-1(x).
Thank you
Click here to see answer by venugopalramana(3286)

Question 44584: If a bank returned to us/me $15,000 with the bank compounding continously when using logarithms how long would we have to leave the money in the bank?
And how long will it take to double my money at 10% interest rate and continous compounding?
If a computer scientist needs a logarithm she uses a log to the base 2.How can I find the log of a number to any base,use a conversion formula but will use log210000 rounded to the hundredths place?
Click here to see answer by Nate(3500)

Question 44843: I need to solve the equation for x.
log(2,x)=7
I believe the answer is x=128
Click here to see answer by Nate(3500)

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