Questions on Algebra: Logarithm answered by real tutors!

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Algebra: Logarithm

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Question 2604: Evaluate:
(log of 2)4 square root 2
Click here to see answer by kiru_khandelwal(79)

Question 2633: half-life of silicon 32 is 710 years....40 grams present..
how much in 200 years?
Click here to see answer by khwang(438)

Question 2632: log4^24-log4^6
Click here to see answer by kiru_khandelwal(79)

Question 2808: What is the proof for this logarithmic identity using A) exponential functions and b) logarithmic properties
(loga x)(logb a) = logb x
Click here to see answer by kiru_khandelwal(79)

Question 2882: What is (log3 x)^2 = log3 x^2 + 3.
The answer in the answers part is 27 and 1/3.
Thank you.
Click here to see answer by khwang(438)

Question 3225: Hey i would really really really appreciate some help, test tomorrow!
(e^t - e^-t )/ 3 =2
Click here to see answer by khwang(438)

Question 3741: How do I solve this problem: 4^1996+4^1995+4^1994+4^1993=45(2^x)? My calculator says infinity.
I tried factoring it: 4^1993(85)=45(2^x), but my calculator still says infinity.
Click here to see answer by khwang(438)

Question 3757: What is the answer to logx125=3

Click here to see answer by longjonsilver(2297)

Question 3783: write as single logarithm:
4 logb x + 4 logb y
Click here to see answer by matthew_sessoms(39)

Question 3891: solve:
log4 (x-6) = -2
Click here to see answer by mudassirhussain(4)

Question 3891: solve:
log4 (x-6) = -2
Click here to see answer by ILAxbaseballx720(3)

Question 3957: write the expression as a single logrithm
log5 (x(squared - 36) - 8log5 (x+6) = log5 _____ . fill in the space at the end
Click here to see answer by longjonsilver(2297)

Question 4192: log2 16 = 8.2 (exp -x), then x=

a) -7 b) -4/3 c) -1 d) -2/3 e) 1
exponent is -x in the 8.2 problem
Click here to see answer by longjonsilver(2297)

Question 4185: log2 16 = 8.2 (exp -x), then x=

a) -7 b) -4/3 c) -1 d) -2/3 e) 1
exponent is -x in the 8.2 problem
Click here to see answer by longjonsilver(2297)

Question 4211: consider- log3 135 *log3 15
can this be written as (log3 135*15)raised to the power2 ?
Click here to see answer by longjonsilver(2297)

Question 4212: simplify:-
(log3 135)/(log15 3) - (log3 5)/(log405 3)
Click here to see answer by longjonsilver(2297)

Question 4318: What is ln(ln X)=2
Click here to see answer by rapaljer(3610)

Question 4319: what is ln(X^(1/4)) = Sqrt(ln X)?
Click here to see answer by khwang(438)

Question 4396: I need Help understanding how to do these:

Click here to see answer by ichudov(404)

Question 4506: Change to exponential form
log 10^x + log 10 (x + 15) = 2

Click here to see answer by rapaljer(3610)

Question 4542: How would you solve this problem?
Write as a single Logrithm: 2 ln x + 3 ln x + 8 ln (Square root x).

Click here to see answer by longjonsilver(2297)

Question 4560: Solve problem to 3 significant digits
2^x = 0.0525
Click here to see answer by rapaljer(3610)

Question 4559: Solve exactly please
log (log x)= 1
Click here to see answer by rapaljer(3610)

Question 4558: Solve problem exactly
ln (x + 1) = ln (3x + 1)- ln x
Click here to see answer by rapaljer(3610)

Question 4557: Solve problem exactly
log 8 - log x = 2
Click here to see answer by rapaljer(3610)

Question 4553: Find x, y, or b
log 4 ^x = -3
Click here to see answer by rapaljer(3610)

Question 4552: Could someone please simplify this problem:
e^x(e^-x+1) - e^-x(e^x+e^+1)
Click here to see answer by ramanna(5)

Question 4552: Could someone please simplify this problem:
e^x(e^-x+1) - e^-x(e^x+e^+1)
Click here to see answer by rapaljer(3610)

Question 4554: Write problem in terms of simpler logarithmic forms

log b v^7/ u^8
Click here to see answer by rapaljer(3610)

Question 4555: Write in terms of simpler logarithmic form

Click here to see answer by ichudov(404)

Question 4701: Express 3logbx-2logby+4logbz as a single log.
Click here to see answer by longjonsilver(2297)

Question 4694: I have a couple of questions that I need help with:

1. Solve for x:
ln7 + ln(x-3) = ln(x + 15)

2. Solve for x:
28 = 19 + 12^(x-7)
**The (x-7) is an exponent for the number 12

3. Solve for x:
e^(3x-4) = 1/e^(x-12)
**The (3x-4) and (x-12) are both exponents

4. Use the properties of logarithms to write 3lnx^2 + ln(2x-4)-ln(3x-6) as a single logarithm.

To whoever is kind enough to help with answering these problems: Thank you and I would appreciate it if you could show your work so I can better understand how to do these types of problems myself. Thanks again!
Click here to see answer by rapaljer(3610)

Question 4708: Hello, I would appreciate it if one of the experts could take a look at the following two problems and let me know if my answer is correct:

Problem 1:
Find: lne^5 - lne^4
My answer: 1

Problem 2:
The point (3, 64) lies on the graph of the exponential function y = b^x. Find the base, b, of this exponential function.
My answer: b = 4

I also need assistance with the following question:

What is the inverse of the function f(x)=log8x ?
**8 is the base of the log

In advance, thanks so much for your assistance! :~)
Click here to see answer by longjonsilver(2297)

Question 4711: Hi,I hope someone can answer my log question:
log(x+2)-logx= log (x+5) Solve for x.
Thanks alot!
Click here to see answer by rapaljer(3610)

Question 4709: Three separate questions for the experts:

Question 1:
Solve for x: logx5 = 1/3
My answer: 125 -- Please verify if my answer is correct.

Question 2: I had posted the below question earlier, but have yet to receive a response.
Use the properties of logarithms to write 3lnx^2 + ln(2x-4)-ln(3x-6) as a single logarithm.

Question 3: Graph the function y = log4x.

THANK YOU SO MUCH!!!

Click here to see answer by rapaljer(3610)

Question 4556: Evaluate x to 5 significant digits
x = ln (4.3931 x 10^-11)
Click here to see answer by rapaljer(3610)

Question 4721: I had asked this question previously:
Question 1:
Use the properties of logarithms to write 3lnx^2 + ln(2x-4)-ln(3x-6) as a single logarithm.

Rapaljer was kind enough to give the following response:

, for all values of x but x cannot equal 2.

However, I need the final logarithm to be a single logarithm. Since the answer is adding two logarithms, it must be simplified even more. I appreciate everyone's help. This has been the most difficult problem for me!

Click here to see answer by rapaljer(3610)

Question 4723: Question on :LOGARITHMS
Logarithms are used in algebra by plotting graphs, finding exponent values etc.., but Logarithms are also used in daily aplliances for e.g. Ph scale to determine if something is acidic or alkaline. My question is, "what other uses are there for Logarithms that can be used in daily life?"
Thank you for your time.
Megan
Click here to see answer by longjonsilver(2297)

Question 4752: just 2 questions that are linked
if log(base 2)5 = x find an expression for...
1. log (base 2)20 = ??
2. log (base 2)[(cube root 5)/2]=??
if u could answer these that would be a huge help thx
Click here to see answer by rapaljer(3610)

Question 4732: show that for t>0, log (t) is not a polynaomial. I understand what a logarithm is now but it still doesn't help me here.
Click here to see answer by khwang(438)

Question 4730: how do i solve for x? ln(x+3)-2=ln(x+1)
Click here to see answer by longjonsilver(2297)

Question 4818: will you solve 2 *log(3, (x+4))= log( 3, 9+2)
Click here to see answer by ichudov(404)

Question 4877: Please help with the following problem Ln square root(x-2) = -2. Thank you
Click here to see answer by rapaljer(3610)

Question 4873: I am completely stuck on this problem. Help!
Graph the fuction:

Click here to see answer by longjonsilver(2297)

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