Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 487347: 51 = 400e^(−0.6x) I want to know how to solve for x using logarithms.
Thank you for your time!!!
Click here to see answer by lwsshak3(6484)

Question 489710: 3+4log(basex) 4 = 5
so
Base= x
Coefficient= 4
Right side of equation= 5
and Add 3 to the left, don't get what to do with that.
Click here to see answer by nerdybill(6951)

Question 489711: 1+(4/3)log(base x-3) 4 = 11/3
base= x-3
this is soo confusing, i spent so long but i just don't get it =(. please help !
Click here to see answer by ankor@dixie-net.com(15645)

Question 490264: Simplify the expression ln(8/e^4)
Click here to see answer by jsmallt9(3296)

Question 489729: how do you write the equation of the perpendicular bisector of the segment joining A(-5,4) and B(-3,6)?
Click here to see answer by lwsshak3(6484)

Question 490423: Determine if
f(x)=ln(5x+4), x>−4/5, has an inverse, and if it does, find this inverse.
Click here to see answer by lwsshak3(6484)

Question 490178: find the logarithm of the following
(i) 23.82
(ii) 0.006735
find the anti-logarithm of the following
(i) 0.8401
(ii) 2.8370
Click here to see answer by lwsshak3(6484)

Question 488739: I was just trying to establish if concluding the problem being:
Re-write the following expression as a single logarithm.
2 LN 2 - ((LN 36) / 2) + (2/3 LN 27)
Equals the quantity of:
LN [(27 ^ (2/3))(2^2) / (36^.5)
Thank you very much.
Click here to see answer by lwsshak3(6484)

Question 487661: Just wondering if someone could explain how to solve to find x:
2 × (0.1)^x+1 = 25
thanking you
Tracey
Click here to see answer by lwsshak3(6484)

Question 488087: how do you condense 2ln(x-3) + ln(x+2) - 6lnx
Click here to see answer by lwsshak3(6484)

Question 491205: answer using logs: 10^(x+7)=2e^(5-x)
Click here to see answer by Alan3354(30993)

Question 489100: please help me solve this equation: if log x + log y = 2, find xy
Click here to see answer by lwsshak3(6484)

Question 483319: 3/2log 9/25 - 5log 2/3 + 2log 2/8, all in base 10
Click here to see answer by lwsshak3(6484)

Question 481172: logx=(1/2log173-1/2log32)divided by(log5-log32.find x.
Click here to see answer by lwsshak3(6484)

Question 488806: I think I must move the y to the other side in the problem, 3 = LN(x/y) , to solve for y is this true.
Click here to see answer by lwsshak3(6484)

Question 491562: simplify the natural logarithm
ln(3e)^-4+4ln3
Click here to see answer by lwsshak3(6484)

Question 489094: What is the difference between a common and natural logarithm and how do I change from one to the other? For example how would I write log5 91 in terms of common logarithms?
Click here to see answer by lwsshak3(6484)

Question 492071: Find the exact value for the expression, log5 270 − log5 75 − log5 90
Click here to see answer by stanbon(57282)

Question 492071: Find the exact value for the expression, log5 270 − log5 75 − log5 90
Click here to see answer by Theo(3458)

Question 492142: Please help me solve this equation: log16x + log8 + log2x = 19/12
Click here to see answer by lwsshak3(6484)

Question 492607: I need help with these questions
5^x=125
8^x+1=16^x
81^(3/4)=x
8^(-2/3)=x
log(base2)32=x
log(base x) (1/9)=-2
log(base4)x=3
Log(base3)(x+7)=Log(base3)(2x-1)
Click here to see answer by chessace(471)

Question 492747: These problems have me stumped, any help would be greatly appreciated!
1. solve for x: (x-3)/2 - 3|2x-1|=-5/3
2. solve for x: log(base 3)(x+3)-log(base3)(x-1)=2
Click here to see answer by stanbon(57282)

Question 492964: Use natural logarithms to solve the equation 8*2^z=18*12^z for z (three decimal places).
Click here to see answer by josmiceli(9664)

Question 493072: Alright, the question is log base 3 2x+log base 3 7= log base 3 28.

I know that the answer is 2, but i have no clue how to get to it. I tried canceling out the log base 3 part since they are all the same, and then it came out to 2x+7=28 and solved that, but then x would equal 10.5z please help!
Click here to see answer by nerdybill(6951)

Question 492608: I need help with these questions
5^x=125
8^x+1=16^x
81^(3/4)=x
8^(-2/3)=x
Click here to see answer by lwsshak3(6484)

Question 493566: 8e^(x+4)=8 write in terms of logs x=?
Click here to see answer by lwsshak3(6484)

Question 493517: I'm so lost, help?
log base 4 of (1/16)
Click here to see answer by lwsshak3(6484)

Question 493430: I am in desperate need of help with a logarithm problem. It is as follows:
1/logbase2(x)+1/logbase3(x)+1/logbase4(x)+1/logbase6(x)=4
Solve for x.
Thank you so much for the help!
Click here to see answer by lwsshak3(6484)

Question 482625: What rate of interest compounded continuously is needed for an investment of $500 to grow to $900 in 10 years?
Click here to see answer by lwsshak3(6484)

Question 494667: How do I find the answer to log (base .5) of 28?
Click here to see answer by stanbon(57282)

Question 494527: Simplify f(x)= 10 ^ log2 + 2logx and find it's value when x= sqrt3.
Click here to see answer by lwsshak3(6484)

Question 494420: Can you explain how to find the logarithms of
a) 3 x 10^-9
b) 6.7 x 10^-2
Thankyou
Click here to see answer by lwsshak3(6484)

Question 493606: Hi I need help with this question:
Evaluate log to the base 2,(2x+1) - log to the base 4,x^2= 1/log to the base 3,2.
Click here to see answer by lwsshak3(6484)

Question 495222: what is anti log of 4.567, 1.005869, 2.003 plz tell in stepwise form fast

Click here to see answer by Theo(3458)

Question 470409: A seismograph 300 km from the epicenter of an earthquake recorded a maximum amplitude of 5.4 multiplied by 100. Find this earthquake's magnitude on the Richter scale. (Round your answer to the nearest tenth.)

Click here to see answer by mfreyjackson(1)

Question 496003: does 3lnx+lnx=4lnx?
Click here to see answer by nerdybill(6951)

Question 496065: solve for x and y ; if x>0 and y>0 : log xy=log x/y + 2 log 2= 2
Click here to see answer by chessace(471)

Question 496228: How do I use logarithms to solve
10(1.07^5x+1)=12
Click here to see answer by lwsshak3(6484)

Question 494529: Solve 5^x-2 = 3^3x+2 for x.
Click here to see answer by lwsshak3(6484)

Question 497241: please help me solve this problem: log3(0.1)+2log3(x)= log3(2)+log3(5)
Click here to see answer by Earlsdon(6287)

Question 497474: what is the value of x from the equation of xlogx = 100x
Click here to see answer by lwsshak3(6484)

Question 498229: what is the value of (lg n)/n
Click here to see answer by MathLover1(6625)

Question 498249: Which statement about the function below is true?
f(x)+x^3 - 5x^2 - 25x + 125 = (x+5)(x-5)(x-5)
A. The root -5 has a multiplicity of 1
B. The root -5 has a multiplicity of 2
C. The root 5 has a multiplicity of 1
D. The root 5 has a multiplicity of 3
Click here to see answer by Theo(3458)

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