Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 205649: 5(sqroot5)=25^(-10x-5)
Click here to see answer by stanbon(57409) About Me 

Question 205733: logx+4 125=3 .. helpp
Click here to see answer by RAY100(1637) About Me 

Question 205759: Change each logarithmic form to an equivalent exponential form:
(please show your work on how you reached the deteriminations)
a. log( 3, 81) = 4
b. log( 10, 0.0001) = 4
c. log( 3, (1/243) = -5
--------------------------------------------
I'm not sure if the formula above turned out correctly, but if it didn't, I tried to spell it out below:

a. Should read, log with the 3 below the g, then 81 =4

b. Should read, log with the 10 below the g, then 0.0001 = –4

c. Should read log with the 3 below the g, then in paranthesis 1 over 243,
end of paranthesis = - 5


Click here to see answer by stanbon(57409) About Me 

Question 205766: (Please show your work)
Change each exponential form to an equivalent logarithmic form:
a. 32+=+2%5E5
-
b. 1%2F125+=+25%5E%28-3%2F2%29
-
c. 12++++=+144%5E%281%2F2%29

Click here to see answer by Targetweek(62) About Me 

Question 205903: log(log x) = 1
Click here to see answer by nerdybill(6963) About Me 

Question 205964: express as a single logarithm 2log[c]x+log[c]square(y)-log[c]z
Click here to see answer by Alan3354(30993) About Me 

Question 205974: if log(x)=16 then log(square root x)=?
Click here to see answer by RAY100(1637) About Me 
Question 205974: if log(x)=16 then log(square root x)=?
Click here to see answer by Earlsdon(6287) About Me 

Question 205987: solve and check for extraneous solutions: In square root (x-3)=1
Click here to see answer by edjones(7569) About Me 

Question 205989: log[5](x-2)+log[5](2x-9)=2
Click here to see answer by RAY100(1637) About Me 

Question 206028: Solve for x (without using a calculator)
(log3)x2 = 2(log3)4 – 4(log3)5
All 3's are subscripts--base 3
The x2 means x squared

Click here to see answer by Alan3354(30993) About Me 

Question 206034: solve: In√x-3=1
Click here to see answer by Earlsdon(6287) About Me 

Question 206047: Simplify the following logarithm: log4(-16)=
Click here to see answer by stanbon(57409) About Me 

Question 206092: I am reviewing for a test, the expression is 9^x = 3^x-8, The answer from the review is 8, but I believe it's wrong, so I need help with it. Thank you.
Click here to see answer by vleith(2825) About Me 

Question 206136: Rewrite the following expression as a single logarithm:
3 ln x-5 + ln (x-6) + 1/4 ln (x+9)

Click here to see answer by Marth(57) About Me 

Question 205988: given that log[a]5=0.8271 and log[a]20=1.5395 fing log[a]4
Click here to see answer by mickclns(59) About Me 

Question 206233: write 3log u - log v - 4log z expression as a single logarithm
Click here to see answer by stanbon(57409) About Me 
Question 206233: write 3log u - log v - 4log z expression as a single logarithm
Click here to see answer by Theo(3464) About Me 

Question 206259: log3(3x+6)-log3(x-6)=2
Click here to see answer by Marth(57) About Me 
Question 206259: log3(3x+6)-log3(x-6)=2
Click here to see answer by nerdybill(6963) About Me 

Question 206454: 2 log(base 4) 9 - log(base 2) 3
Click here to see answer by stanbon(57409) About Me 

Question 206817: How long would it take for $1000 to grow to $4300 at 5% interest. Compounding quarterly. The answer for this 29.4 but I have a feeling that this answer is wrong. Please go step by step. Thank you so much.
Click here to see answer by Alan3354(30993) About Me 

Question 206898: log6 (sqrt x) + log6 (sqrt 6x+5) = 1
Click here to see answer by nerdybill(6963) About Me 

Question 207052: Please Please I need help solving a problem in algebra.
The problem is that I am trying to find the logarithmic formula for finding
the pH of a substance. The substance that I am using is a grapefruit. The pH is 3.3. Can you help me find the formula. Thank you very much for helping me.

Click here to see answer by scott8148(6628) About Me 

Question 207168: maya has deposited $600 in an account that pays 5.64% interest, compounded continuously. How long will it take for her money to double?
Thank you so much for your help!!

Click here to see answer by jojo14344(1512) About Me 

Question 207170: Thank you in advance for your help!!! Suppose that $2000 is invested at a rate of 6% per year compounded continuously. What is the balance after 1 year? After 2 years?
Click here to see answer by solver91311(16897) About Me 

Question 207198: a computer is infected with the sasser virus. Assume that it infects 20 other computers within 5 minutes: and that these PCs and servers each infect 20 more machines within another 5 minutes, etc. How long until 100 million computers are effected? Thank you for your help!!!
Click here to see answer by Theo(3464) About Me 

Question 207458: if the problem is:
y=log(2x-12)
then what is the domain in interval notation?
i tried to solve this problem, but i didn't know what the base of the log was.

Click here to see answer by jsmallt9(3296) About Me 

Question 207535: Solve for x where x is a real number
log x + log (x-3) = 1

Click here to see answer by HyperBrain(694) About Me 

Question 207539: Simplify
log 1/2 8

Click here to see answer by stanbon(57409) About Me 

Question 207563: I need to find out how to write $10,000,000 in exponential form. I don't have a clue. it's only the second day of school and we don't have our math books yet. Please help!!!!!
Click here to see answer by nerdybill(6963) About Me 
Question 207563: I need to find out how to write $10,000,000 in exponential form. I don't have a clue. it's only the second day of school and we don't have our math books yet. Please help!!!!!
Click here to see answer by MathTherapy(1430) About Me 

Question 207714: logarithms...
2log(base2)x+log(base2)5=4
how do u solve that in exact form

Click here to see answer by stanbon(57409) About Me 

Question 207833: log(5)^(x)-log(5)^(x-20)=1
log(2)^(x)+5=8-log(2)^(x+7)
I need help with finding the answer and the steps to getting the answer.

Click here to see answer by dlam5(15) About Me 

Question 207881: How do you solve a logarithmic word problem of this nature.
LAW A lawyer has determined that the number of people P(t)in a city of 1,200,000 people who have been exposed to a news item after t days is given by the function P(t)=1,200,000(1-e^-0.03t)
a. How many days after major crime has been reported have 40% of the population heard of the crime?
b. A defense lawyer knows it will be very difficult to pick an unbiased jury after 80% of the population have heard of the crime. After how many days will 80% of the population have heard of the crime?

Click here to see answer by Theo(3464) About Me 

Question 207963: what is the description of formation in h(x)=-e^x? Is it reflected in the y-axis? or the x-axis? I'm so confused....
Click here to see answer by jim_thompson5910(28598) About Me 
Question 207963: what is the description of formation in h(x)=-e^x? Is it reflected in the y-axis? or the x-axis? I'm so confused....
Click here to see answer by stanbon(57409) About Me 

Question 207962: what is the equation to find out what is the asymptote of g(x)=e^x+2?
Click here to see answer by stanbon(57409) About Me 

Question 208058: I am trying to find the domain of
f(t)=4.5et

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Question 208074: a=p(1+r/n)nt
I am trying to calculate the return(a) if the bank compunds quarterly(n=4) Round answer to nearest cent. I entered 2000*(1+0.08/4)^4*5=

Click here to see answer by Alan3354(30993) About Me 

Question 208081: Hello! I have been working on this problem for the past 20 min P=13+45ln x represents the percentage of inbound email in the us that is considered spam, where x is the number of years after 2000. calculate to 6 decimals on each step when necessary.
Determine the percentage of spam in the year 2003. Round answer to 2 decimals.

Click here to see answer by jim_thompson5910(28598) About Me 

Question 208086: How many years will it take for percent of spam to reach 95% and spammers dont change.?
p=13+45ln (x)
p=95
95-13=45ln(x)
I got this far. I'm so confused!

Click here to see answer by jim_thompson5910(28598) About Me 

Question 208089: if a bank compounds continuously, then the formula used is A=Pe rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round answer to nearest cent.
deposit is 2,000 for 5 years of 8%
I'm not sure if I use the answer I received from the previous question or use the deposit,years and percent.

Click here to see answer by Alan3354(30993) About Me 
Question 208089: if a bank compounds continuously, then the formula used is A=Pe rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round answer to nearest cent.
deposit is 2,000 for 5 years of 8%
I'm not sure if I use the answer I received from the previous question or use the deposit,years and percent.

Click here to see answer by checkley77(12569) About Me 

Question 208079: if a bank compounds continuously then the formula used is A=Pe rt where e is a constant and equals approximately 2.7183. Calculate A with continous compounding. Round your answer to the nearest cent.
Click here to see answer by checkley77(12569) About Me 

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