Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)

Question 104232: 2log( x ) = log(2) + log(5x-8)
log%28+x+%29%5E2+=+log%282%29+%2B+log%285x-8%29
log%28+x+%29%5E2+=+log%282%29%285x-8%29
you can write
%28+x+%29%5E2+=+%282%29%285x-8%29
%28+x+%29%5E2+=+10x-16
%28+x+%29%5E2-10x%2B16=0
x1=%2810-sqrt%28100-64%29%29%2F%282%29
= %2810-6%29%2F2
=2
x2=%2810%2Bsqrt%28100-64%29%29%2F%282%29
= %2810%2B6%29%2F2
=8
SO THERE ARE TWO SOLUTION
8 AND 2
Click here to see answer by scott8148(6628) About Me 
Question 104232: 2log( x ) = log(2) + log(5x-8)
log%28+x+%29%5E2+=+log%282%29+%2B+log%285x-8%29
log%28+x+%29%5E2+=+log%282%29%285x-8%29
you can write
%28+x+%29%5E2+=+%282%29%285x-8%29
%28+x+%29%5E2+=+10x-16
%28+x+%29%5E2-10x%2B16=0
x1=%2810-sqrt%28100-64%29%29%2F%282%29
= %2810-6%29%2F2
=2
x2=%2810%2Bsqrt%28100-64%29%29%2F%282%29
= %2810%2B6%29%2F2
=8
SO THERE ARE TWO SOLUTION
8 AND 2
Click here to see answer by bimanewton(8) About Me 
Question 104325: 17^x=0.5
Changed to x=log(17)0.5
x= 15.7144 (found in the back of text)
having trouble entering into graph calculator
Click here to see answer by scott8148(6628) About Me 
Question 104689: Could someone please assist me by solving this logarithmic equation step-by-step for future reference. Thank you.
log(7y + 1) = 2log(y+3)-log2

Click here to see answer by Fombitz(13828) About Me 
Question 104685: Could someone please assist me by solving this logarithmic equation step-by-step for future reference. Thank you.
log(7y + 1) = 2log(y+3)-log2
log(7y + 1) = log(y+3)^2-log2
log(7y + 1) = log(y+3)^2/2
you can write
(7y + 1) = (y+3)^2/2
2(7y + 1) = y^2+6y+9
14y+2=y^2+6y+9
y^2-8y+7=0
y1=(8+rootsquare(36))/2
=(8+6)/2
=7
y2=(8-rootsquare(36))/2
=(8-6)/2
=1
so (y1,y2) are (7,1)
Click here to see answer by scott8148(6628) About Me 
Question 104685: Could someone please assist me by solving this logarithmic equation step-by-step for future reference. Thank you.
log(7y + 1) = 2log(y+3)-log2
log(7y + 1) = log(y+3)^2-log2
log(7y + 1) = log(y+3)^2/2
you can write
(7y + 1) = (y+3)^2/2
2(7y + 1) = y^2+6y+9
14y+2=y^2+6y+9
y^2-8y+7=0
y1=(8+rootsquare(36))/2
=(8+6)/2
=7
y2=(8-rootsquare(36))/2
=(8-6)/2
=1
so (y1,y2) are (7,1)
Click here to see answer by bimanewton(8) About Me 
Question 104905: Hi there,
I'm completely stumped. I need to solve for X:
(9^(2x))*(27^(x-3))=1/9
I graphed it, and know that the answer SHOULD be -11, but I need to see HOW to do the problem.
Thank you,
Brad Easler
Click here to see answer by duggie(26) About Me 
Question 104905: Hi there,
I'm completely stumped. I need to solve for X:
(9^(2x))*(27^(x-3))=1/9
I graphed it, and know that the answer SHOULD be -11, but I need to see HOW to do the problem.
Thank you,
Brad Easler
Click here to see answer by HyperBrain(694) About Me 
Question 104905: Hi there,
I'm completely stumped. I need to solve for X:
(9^(2x))*(27^(x-3))=1/9
I graphed it, and know that the answer SHOULD be -11, but I need to see HOW to do the problem.
Thank you,
Brad Easler
Click here to see answer by Fombitz(13828) About Me 
Question 104905: Hi there,
I'm completely stumped. I need to solve for X:
(9^(2x))*(27^(x-3))=1/9
I graphed it, and know that the answer SHOULD be -11, but I need to see HOW to do the problem.
Thank you,
Brad Easler
Click here to see answer by bimanewton(8) About Me 
Question 105107: Simplify, log a x^a - log b a^x + c, as a single logarithm.
Click here to see answer by HyperBrain(694) About Me 
Question 100110: Solve LOGa(7x+1)=LOGa(4x+16)
Click here to see answer by bimanewton(8) About Me 
Question 98545: I'm having trouble solving for 'x' in this equation log4%28x-2%29%2B+log4%28x%2B6%29=2. I have tried re-arranging it to make an exponential equation, but I end up confusing myself even more.
Thank you for looking at this.
Click here to see answer by bimanewton(8) About Me 
Question 105118: please resolve
%28log2%29%2F%283%29%2B%28log5%29%2F%283%29%2B%28log2%29%2A%28log125%29
Click here to see answer by scott8148(6628) About Me 
Question 105522: How do I solve for x in the equation: (8)(56^2x)=10346 ???
Click here to see answer by HyperBrain(694) About Me 
Question 104111: Please help me solve: 5^2x+1 = 125^x and solve: 6^x+1 - 28 = -log 8
Click here to see answer by HyperBrain(694) About Me 
Question 100237: Expand log 3x2(squared)/ y3z2
please help. thanks.
Click here to see answer by HyperBrain(694) About Me 
Question 105563: I am a Grandma in a jam! I am trying to help my grandson figure out a couple of Algebra questions and I need help!! Can someone please show me the logorithimic form of the equation:
(1/3)^-4 = 81????? Help, Please. Thank YOu!
Click here to see answer by ankor@dixie-net.com(15649) About Me 
Question 105562: Can some one please help me help my grandson with this problem.??
Q: Assuming x is a positive #, useing the Logorithim properties to present the expression; log(x+4) - log x as the logorithim of a single quantity.
Thank you very much.
Click here to see answer by ankor@dixie-net.com(15649) About Me 
Question 105570: I need someone's help. I need to find the value of x from logx169/121= 2??
Can someone please help me out on this?? Thank You!
Click here to see answer by bucky(2189) About Me 
Question 105570: I need someone's help. I need to find the value of x from logx169/121= 2??
Can someone please help me out on this?? Thank You!
Click here to see answer by ankor@dixie-net.com(15649) About Me 
Question 105564: I am a Grandma in a jam! I am trying to help my grandson figure out a couple of Algebra questions and I need help!! Can someone please show me the logorithimic form of the equation:
(1/3)^-4 = 81????? Help, Please. Thank YOu!
Click here to see answer by MathLover1(6628) About Me 
Question 105757: Solve logx + log(x-48) = 2
Click here to see answer by HyperBrain(694) About Me 
Question 105766: Solve 1/2log(4x+5) = logx
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Question 105760: Solve log(x-1)- log6 = log(x-2)- logx
Click here to see answer by HyperBrain(694) About Me 
Question 105800: express as a single logarithm:
(a) 3log(x-2)+ 1/2 log(x)
(b) log(3xy)- log(x)
Click here to see answer by stanbon(57337) About Me 
Question 105851: I'm guessing the answer is 4, but how do I solve this problem??
Solve the exponential function: 16%5Ex+=64
Click here to see answer by scott8148(6628) About Me 
Question 105939: +80=x%5E5+.
Click here to see answer by Espears(1) About Me 
Question 105939: +80=x%5E5+.
Click here to see answer by edjones(7569) About Me 
Question 105931: logx%5E2%2Blogy-3logx-logy%5E2. as single logarithm
Click here to see answer by ankor@dixie-net.com(15649) About Me 
Question 106297: 1. Solve the equation: logbase4(x-5) = 0.5 – logbase4(1-x).
i follow through with the problem and get four different answers but none of them check out when they are plugged into "X".
Click here to see answer by Fombitz(13828) About Me 
Question 106341: I need help with this expression.
logA/logB = A/B = 2/3. 2/3 is the correct answer, but the student who did this problem canceled the logs. What are A and B?
Click here to see answer by scott8148(6628) About Me 
Question 106365: log y = 1/4 log 16 + 1/3 log 64
All of the logs are a base 3
Please help I have worked every way I can and just can't seem to get the answer
Click here to see answer by Nate(3500) About Me 
Question 106373: Please help me with this expression: logA/logB = A/B = 2/3. The correct answer is 2/3. It was solved correctly to = 2/3. The logs were canceled which is not a proper method of using logs. I need to know what A and B are so that logA/logB = 2/3.
I think the problem can be set up to look like: logA = log 2x and logB = log 3x. So, log2x/log3x = 2x/3x.
Click here to see answer by stanbon(57337) About Me 
Question 105936: Y=2^X AS A LOGARITHMIC FUNCTION
Click here to see answer by HyperBrain(694) About Me 
Question 106845: Could you please take the time to help me solve this problem: Solve g(x) = 0 for x, if g(x) = log x + log x2 + 8 log x – log x3 – 16. Note that all logarithmic functions are to the base 10. Show your work.
Thank you for helping me
Click here to see answer by Fombitz(13828) About Me 
Question 107367: simplify
log 100x^3 + log 1000X^2 + log x/1000
Click here to see answer by josmiceli(9674) About Me 
Question 107368: In 1990, the population of a twon was 32000 and was increasing at the rate of 3.2% per year
Estimate the time for this town's population to double
Click here to see answer by Annabelle1(69) About Me 
Question 107587: Dear Tutor thank you for sloving this question in advance
How do you slove this equation and find x
1+ 2lg(x+1)= lg(2x+1)+lg(5x+8)
Click here to see answer by HyperBrain(694) About Me 
Question 107651: how can we derive to this formula?
log(-1).show all the works
Click here to see answer by stanbon(57337) About Me 
Question 107884: Thanks tutor for sloving this:
lg(2x)-3lg2=%281%2F2%29lg%28x-3%29
lg means log with base 10

Click here to see answer by scott8148(6628) About Me 
Question 107974: Hi,
Please help me solve: S(t)=200[1-(0.86)^t]
I've used the 10 hours for time to start S(10)
and the result I have is S(10)=200[14].
I haven't found out what to do with the brackets or what they mean.
I am also supposed to turn this into an exponetial and and logarithmic function for graphing. But I'm stuck at the start.
I need this solved for an overdue assignment - Please help!
Thanks,
Marisa
Click here to see answer by edjones(7569) About Me 
Question 108092: in need of help with:solve algebraically ln 2+ ln(x-6)=ln(x+2)
Click here to see answer by scott8148(6628) About Me 
Question 108095: can you please help me write log(base)8(3x+1)-2 log(base)8(x-2)as a single logarithm. thanks.
Click here to see answer by scott8148(6628) About Me 
Question 108089: help!! solve algebraically log base6(x+41)-log base6(x+1)=2. thanks so much
Click here to see answer by scott8148(6628) About Me 
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