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Tutors Answer Your Questions about logarithm (FREE)
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(4898)  |
Question 165215This question is from textbook
: 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.
This question is from textbook
Click here to see answer by nerdybill(2446)  |
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(2446)  |
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(1483)  |
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(3382)  |
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(682)  |
Question 165839This question is from textbook
: 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 This question is from textbook
Click here to see answer by ankor@dixie-net.com(6691)  |
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