Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 29425: ln(x+2)=ln(2x-1)+3
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29425: ln(x+2)=ln(2x-1)+3
Click here to see answer by longjonsilver(2297)

Question 29424: 6e^(1-x)+1=25, find x.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29619: I need help finding an equivalent form for log base3 X-log base3 y-2log base3 z
Click here to see answer by stanbon(57962)

Question 29618: I need help finding the solution(s) to log(5x-3)-log(x-1)=1
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29779: log3 (x+3) + log3 (x-7) =2
Click here to see answer by longjonsilver(2297)

Question 29882: How would I solve for x?
log(x)+log(x+15)=2
I can only get it to: log[x(x+15)]=2, is that even right? What should I do next?
Click here to see answer by Paul(988)

Question 29882: How would I solve for x?
log(x)+log(x+15)=2
I can only get it to: log[x(x+15)]=2, is that even right? What should I do next?
Click here to see answer by josmiceli(9817)

Question 29891: Please Help soon as possible!

logx+log3 = log30
Thank you.
Click here to see answer by josmiceli(9817)

Question 29897: please help, I know very little about using the calculator!
log b a= loga/logb
using this formula, find log, 1000
Click here to see answer by jb007mi6(53)

Question 29899: log cube root of x = square root of log x
Click here to see answer by kev82(148)

Question 30061: Show that
log[base 2]9 x log[base 3]8 = log[base 2]8 x log[base 3]9.
Thank you.
Click here to see answer by venugopalramana(3286)

Question 30094: I've tried using logs, but am not sure about actually dividing one log by another

(.04)^X *10^9 = 1 .....I think the answer is approximately 30, but can't prove to myself
Click here to see answer by josmiceli(9817)

Question 30199: what the,,,
log base 3 ( x + 16 )= 1 + log base 3 ( 2 - X )
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30199: what the,,,
log base 3 ( x + 16 )= 1 + log base 3 ( 2 - X )
Click here to see answer by Fermat(127)

Question 30280: Can you please help me with this question: A flare with an initial velocity of 144 feet per second is launched from a life raft. How many seconds will it take for the flare to return to the sea?
I only this much of it:
h=144t- 16t(squared) I dont think it is right though
Thank you very much!!!
Click here to see answer by Paul(988)

Question 30319: How do you solve a log equations where there is x on both sides and one where there is only one x on one side? Such as the following?
=
&
=
Thank you very much!!!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30323: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.
Using the properties of logarithms, rewrite the following expression as a sum and difference of terms:
y (sqared)= [xz (squared)] and then this whole equation is to the second power
-------------
[e (x+z powered)]

Click here to see answer by longjonsilver(2297)

Question 30396: How do you solve a log equations where there is x on both sides and one where there is only one x on one side? Such as the following?
=
&
=
Thank you very much!!!
Click here to see answer by Paul(988)

Question 30417: Could you please help me with this problem. Thank you.
= 2 1/2
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30416: Could you please help me with this problem. Thank you.
* = 2 1/2
Click here to see answer by longjonsilver(2297)

Question 30416: Could you please help me with this problem. Thank you.
* = 2 1/2
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30489: log2*=x
logex=4
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30534: a)given that 3 + 2log2 x= log2 y show that y=8x2
b)Find the roots α and β where α<β of the equation
3+ 2log2 x = log2 (14x-3)
c)Show that log2 α = -2
d)calculate log2 β, giving your answer to 3sf.

Click here to see answer by venugopalramana(3286)

Question 30837: 10^-t=5
Click here to see answer by josmiceli(9817)

Question 31222: Find the domain, vertical asymptote, and x-intercept of h(x) = log4(x - 3)
Click here to see answer by venugopalramana(3286)

Question 28904: Write the expression, 2logz -[1/2logy + 3logx], as a logarithm of single quantity
Click here to see answer by troyapplehelen(46)

Question 29423: What are the properties of solving logarithms (addition and subtraction problems only)
Click here to see answer by troyapplehelen(46)

Question 31332: Solve the equation. Give an exact solution.
4 ^x+6 = 7
Thanks for all your help!!!
Click here to see answer by Nate(3500)

Question 31331: Cindy will require $11,000.00 in two years. How much money should she invest now at 9% compounded continuously so she will have that $11,000.00?
I know the formula, but I don't know how to figure it out.
A = Pe^rt
Thanks for your help
Click here to see answer by Nate(3500)

Question 31329: Use compound the interest formulas
A=P(1 +r/n) ^nt and A = Pe^rt
Suppose that you have $14,000.00 to invest. Which investment yields the greater return over 10 years: 7% compounded monthly or 6.85% compounded continuously? I know what the answer is but I don't know how to get there.
Thanks for your assistance.
Click here to see answer by Nate(3500)

Question 31327: Solve the equation
log(3+x) - log(3-x) = log3
Thanks for your help!!!!
Click here to see answer by Fermat(127)

Question 31327: Solve the equation
log(3+x) - log(3-x) = log3
Thanks for your help!!!!
Click here to see answer by stanbon(57962)

Question 31326: Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
log5(x+4) - log5(x+1)
Thanks for your help.
Click here to see answer by longjonsilver(2297)

Question 31325: Write the equation in its equivalent logarithmic form
10^2=y
Thanks for your help.
Click here to see answer by longjonsilver(2297)

Question 31311: For questions 3-4, write the logarithmic equation in exponential form. For example, the exponential form of "log(base 5)25 = 2" is "5^2 = 25".
3. (2 points) log (base 3) 27 = 3
4. (2 points) log {base 125) 25 = 2/3
For questions 5 and 6, recall that, when interest is compounded continuously, the balance in an account after t years is given by
A = Pe^(rt)
where P is the initial investment and r is the interest rate.
5. (5 points) Maya has deposited $600 in an account that pays 5.64% interest, compounded continuously. How long will it take for her money to double?
6. (5 points) Suppose that $2000 is invested at a rate of 6% per year compounded continuously. What is the balance after 1 yr? After 2 yrs?

Click here to see answer by stanbon(57962)

Question 31389: Solve the equation, give an exact solution.
4 x+6 =7
Click here to see answer by mukhopadhyay(490)

Question 31387: Solve the equation:
log(3+x)-log(x-3)=log 3
Click here to see answer by mukhopadhyay(490)

Question 31386: Solve the equation:
log(3+x)-log(x-3)=log 3
Click here to see answer by mukhopadhyay(490)

Question 31386: Solve the equation:
log(3+x)-log(x-3)=log 3
Click here to see answer by Earlsdon(6294)

Question 31385: log5(x+4)-log5(x+1)
use properties to condense the logarithmic expression. write the expression as a single logarithim whose coefficient is 1. Where possible, evaluate the logarithmic expression.

Click here to see answer by mukhopadhyay(490)

Question 31403: I see this question has already been asked, but I think it was submitted incorrectly. Solve the equation. Give an exact solution.
4^(x+6) = 7
Please help with this.
Here is another one that I am having trouble with.
Write the equation in its equivalent logarithmic form.
10^2 = y
I think the answer is logy = 2
but I am not sure why or how to get there.
thanks in advance for all your help!!
Click here to see answer by stanbon(57962)

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