Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 160019: solve log(x+4) = log(5x + 1) + log 2
Click here to see answer by Fombitz(13828)

Question 160061: An ant is roughly 10^- 3 meters in length and the average human 1.7 meters. How many times longer is a human than an ant?
Click here to see answer by checkley77(12569)

Question 160061: An ant is roughly 10^- 3 meters in length and the average human 1.7 meters. How many times longer is a human than an ant?
Click here to see answer by edjones(7569)

Question 160168: Solve the following equation for x:
3^2^x =15
not sure how to solve this. Ive been looking for examples but have had no luck on it.
Thank you in advance for your help!
Click here to see answer by Earlsdon(6294)

Question 160200: 3log x = log125
Here is another one I can not find a practice problem like it.
Thank you in advance for your help!
Click here to see answer by Alan3354(31532)

Question 160200: 3log x = log125
Here is another one I can not find a practice problem like it.
Thank you in advance for your help!
Click here to see answer by gonzo(654)

Question 160500: What is: 3log_3x + 4log_x - 12 log^-4/3x?
Click here to see answer by Edwin McCravy(8999)

Question 160786: A computer that cost $37,000 has a life expectancy of % years. If it has depreciated to a value of $8000, how old is it?
Click here to see answer by Fombitz(13828)

Question 160788: write log 32 in terms of log 2.
Click here to see answer by scott8148(6628)

Question 161157: 2power of x + 8(2power of x)=9
Click here to see answer by Fombitz(13828)

Question 161155: log x = log(x+3)-2
Click here to see answer by Fombitz(13828)

Question 161133: I have tried many ways to solve this problem but I can't get to the right answer. 5(1.06^2x+1)=11
Click here to see answer by nerdybill(7008)

Question 161335: x^(log x)=10^4
what is x?
Click here to see answer by scott8148(6628)

Question 161334: x^(log x)=10^4
Click here to see answer by scott8148(6628)

Question 161587: Write the logarithm in expanded form. Log3(x^2y)^3
Click here to see answer by Alan3354(31532)

Question 161686: log(2)8, log(4)8, log(8)8, log(16)8, log(32)8, log(64)8, log(128)8
find an expression of the nth term of the sequence. write expression in p/q form. justify using technology.
Click here to see answer by Earlsdon(6294)

Question 161683: solve 1.6 = logx
Click here to see answer by jim_thompson5910(28717)

Question 161721: 1. log5 X = 3

2. log 25 125

Click here to see answer by mathispowerful(115)

Question 161811: This is a logarithm and exponential question
If F(x)=e^5x find f'(2)
Click here to see answer by Fombitz(13828)

Question 162439: Solve: log (base 3) (x-4) - log (base 3) (x-1) = 2
Click here to see answer by Fombitz(13828)

Question 162469: Express as a single logarithm and simplify: 3 log 2 + log x – log (2x)
If you could just show me an example of how to solve.

Thanks,
Anna
Click here to see answer by scott8148(6628)

Question 162779: a)Express the following as a single logarithms
6 log10y+4log10z-log10y-2
log (10y)^6 + log (10z)^4 - log (10y) - 2log (10)
log (10y)^6 (10z)^4 - log (10y) - log (10)^2
log (10y)^6(10z)^4/(10y) - log (10)^2
log ((10y)^6 * (10z)^4)/(10y * 10^2)
log (10^6 y^6 * 10^4z^4)/(10^3 y)
log (10^10 y^6 z^4)/(10^3 y)
log 10^7y^5z^4
b)Factorize the expression 25x2-64y2 and 1/4(Log2x-log2y)
25x^2 - 64y^2)= (5x - 8y)(5x + 8y)
1/4 (log2x - log 2y)
1/4log 2x - 1/4log 2y
log (2x)^1/4 - log (2y)^ 1/4
log (2^1/4 x^1/4)/(2^1/4 y^1/4)
log x^1/4/y^1/4
or
log (x/y)^1/4
c)find the points of intersection of the following two equestions: y=c and y=mx+c.
Two equations intersect when they are equal...
c = mx+c
c-c = mx + c-c
0 = mx + 0
0/m = mx/m
0= x
Then they intersect when x=0 and y=c

Click here to see answer by eperette(173)

Question 162960: The following questions are driving me crazy, please help!!!!!
1) Express as a single logarithm with a coefficient of 1. 2 In x -5 In y
2) Writh the logarithm in expanded form. log3(x^2y)3
The question donot come from a text book. My course is online and are questions posted by instructor.
I would be very appreciative if someone could help me solve these problems. I did not began to solve because I donot understand what is being asked.
Click here to see answer by Earlsdon(6294)

Question 162941: Assume that x is a positive number. Use the logarithm properties to present the expression log(x + 9) - log x as the logarithm of a single quantity.

log(x + 9) - log x
Click here to see answer by ankor@dixie-net.com(15746)

Question 163097: please help me solve the following logx with base 2 + log base2(x+5)-2log 3 base 2=2
Click here to see answer by scott8148(6628)

Question 161228: what is the logarithm of 0.0009358
Click here to see answer by consc198(59)

Question 163118: Find the value of x:
log x 289/25=2
Click here to see answer by ankor@dixie-net.com(15746)

Question 163296: 2x-1=e^(lnx^2)
Click here to see answer by Fombitz(13828)

Question 163436: Solve: log5 absolute value of x+2 =3
Click here to see answer by Fombitz(13828)

Question 163813: Can't solve this one
5^-5x+3 = 11
Find X
Click here to see answer by jojo14344(1512)

Question 164184: solve for x:
(log(x))(lnx)=4.5
any help would be greatful, thank you!
Click here to see answer by stanbon(57969)

Question 164183: solve for x:
log(2)[ln(log(x)]=1
any help would be great...thanks!!
Click here to see answer by Alan3354(31532)

Question 164183: solve for x:
log(2)[ln(log(x)]=1
any help would be great...thanks!!
Click here to see answer by stanbon(57969)

Question 164113: v^2-36/6-v =10
then v=
a:-16
b:-4
c:4
d:8
and idnetify the type of problem!
Click here to see answer by Fombitz(13828)

Question 164881: Simplify into a single logarithm:
log3 x-4log3y (both the 3's are below the g itself)
Click here to see answer by jim_thompson5910(28717)

Question 164880: Express log(a^3*b^2/square root c)
Click here to see answer by edjones(7569)

Question 164972: 7(2^t) = 35
Click here to see answer by Alan3354(31532)

Question 165215: log(base 3)(x+8) + log(base 3)(x) = 2
I'm not for sure if I am sitting this up right.
So far I have:
log(base 3)( x+8/x ) = 2 Should I multiply or divide since its a +?
Any help appreciated.

Click here to see answer by nerdybill(7008)

Question 165216: log(base5) x - log(base5)(x-2)= log(base5) 4
Many thanks.
Click here to see answer by jim_thompson5910(28717)

Question 165416: This is not from a textbook, just from a worksheet my teacher made up.
The question is : 4logx = 4
I think that you can move the first 4 to make the question logx^4=4 , but that is as far as I have gotten.
Thank You For Your Help!
Click here to see answer by nerdybill(7008)

Question 165539: A Cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?
I am not sure about how to right out the solution. I come up with 90 cells after 3 hours, but how I do I write it correctly?
Thank you!
Click here to see answer by jojo14344(1512)

Question 165540: The level of thorium in a sample decrases by a factor of one-half every 4.2 million years. A meteorite is discovered to have only 7.6% of its original thorium remaining. How old is the meteorite?
I am totally lost on this one. Can you help me?
Click here to see answer by scott8148(6628)

Question 165602: Good Afternoon,
I am trying to figure out how to plot a graph with several functions. For example f(x)=7^x. This is what I have.
f(0) = 7^0 = 1 f(-1) = 7-1 = 1/7^1 = 1/7
f(1) = 7^1 = 7 f(-2) = 7-2 = 1/7^2 = 1/14
f(2) = 7^2 = 14 f(-3) = 7-3 = 1/7^3 = 1/21
f(3) = 7^3 = 21
Can you let me know if this looks right? More importantly, I have no idea how to graph this.
Thank you for the help you give. : )
Click here to see answer by oscargut(900)

Question 165839: A constant tone is being applied to a speaker, the voltage across the speaker is 5 volts. Volts increased to 15 volts in order to increase the sound level. what is the decibel gain? round to the nearest decibel
Click here to see answer by ankor@dixie-net.com(15746)

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