Questions on Algebra: Logarithm answered by real tutors!

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Algebra: Logarithm

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Question 236129: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.)
Use the exponential growth model P(t) = P0ekt.

___ 1 year
___ 9 years
___ 57 years
___ 20 years

Click here to see answer by Alan3354(5863)

Question 236134: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.) Use the exponential growth model P(t) = P e kt.
0
1 year
9 years
57 years
20 years

Click here to see answer by Alan3354(5863)

Question 236073: Write the expression as a rational number or as a single logarithm
log 2 + log 3 + log 4 =
Click here to see answer by scott8148(3325)

Question 236067: When a bank compounds continuously, using the formula A = P e rt how do you set up the formula when it is given that P = 4000, e = is a constant that is equal to 2.7183, r = 7% or .07, t = 8 now how would you calculate A with continuous compounding.
Click here to see answer by scott8148(3325)

Question 236054: Express as a single logarithm.
1) 1/2log(base m)4 + log(base m)(1/5) - 2log(base m)√6
2) logx + 3logy - 1/2[logz]
Find the exact value using properties of exponents and logarithms. No decimal answers.
3) log(base 2)40 - log(base 2)(15/4) + log(base 2)12
Click here to see answer by nerdybill(2412)

Question 236050: The question says: Solve the Logarithmic equation:
2 log x - 2 = log(x-25)
Click here to see answer by stanbon(25959)

Question 236004: The problem says to solve the logarithmic equation:
5 + ln (8x) = 23 - 2 ln x
Click here to see answer by solver91311(4818)

Question 235823: expree as a difference of lagarithms
log8 1/2
Click here to see answer by jim_thompson5910(13679)

Question 235819: a loan of $12,000 is made at 14%interest compounded annually,after t years the amount due,A is given by the function A(t)=12,000(1.14)^t
find the doubling time.
Click here to see answer by rfer(2588)

Question 235627: can u please explain the logarithm 3log2x-log2x=8? by the way the log has a base of 2. the book said that the answer was 8.1 but i dont understand how they got that. this is wat i did:
3log2x-log2x=8

and thats as far as i got
Click here to see answer by Alan3354(5863)

Question 235481: 4log4 6 - log 4 5, evaluate without a calcuator
Click here to see answer by solver91311(4818)

Question 235481: 4log4 6 - log 4 5, evaluate without a calcuator
Click here to see answer by stanbon(25959)

Question 235434: help me find the approximation to the nearest ten-thousandth: e^-2pi
Click here to see answer by Alan3354(5863)

Question 235145: The half-life of a certain radioactive substance is 15 years.
Suppose that at time t = 0, there are 29 g of the substance.
Then after t years, the number of grams of the substance remaining will be

How many grams of the substance will remain after 45 years?

Click here to see answer by ankor@dixie-net.com(6567)

Question 235043: Solve for x. Round to the nearest ten-thousandth
log (538x) = 3.631
Click here to see answer by Alan3354(5863)

Question 235074: Find the solution of the exponential equation, correct to four decimal places. 1.00881^4x+12
Click here to see answer by Alan3354(5863)

Question 235064: write each of the following as a single logarithm
a. 3In2+In (x^2)+2
answer 3In^2
b.1/2 loga 4-2 loga 5
answer loga4^1/2-log 5^2

can u please help me
Click here to see answer by solver91311(4818)

Question 235044: Solve. include approximations to the nearest thousandth.
log(x-3) + logx = 1
Click here to see answer by solver91311(4818)

Question 234877: the percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by:
A(t)=.29te^-4t (0<=t<=12)
(a) what is the percentage of alcohol in a person's bloodstream after 1/2 hour? 7hrs?
(b) How fast is the percentage of alcohol in a person's bloodstream changing after 1/2 hr? 7 hr?

Click here to see answer by Alan3354(5863)

Question 234917: Express as an equivalent expression, using the individual logarithms of w,x,y, and z

{log(baseb)w^2x}/{y^3z}
Click here to see answer by jsmallt9(511)

Question 234898: ln(3)-2ln(4)+ln(8)
Click here to see answer by nerdybill(2412)

Question 227794: I need to solve this problem
log5x/logx= 3
could you please help me solve this equation
thank you very much, viki
Click here to see answer by Alan3354(5863)

Question 226908: Solve 4^x + ^1 = 13
Click here to see answer by Alan3354(5863)

Question 234830: I need help with this I do not understand what I need to do.
Rewrite each equation in exponential form.
1)log6 36=2
2)log289 17=1/2
3)log14 1/196=-2
4)log3 81=4
Click here to see answer by Alan3354(5863)

Question 234573: how do you express log x (4yz) as a sum of logarithms?
Click here to see answer by stanbon(25959)

Question 234573: how do you express log x (4yz) as a sum of logarithms?
Click here to see answer by nyc_function(155)

Question 234499: how the log tables are constructed??
or
wat is the source of logarithm values?
Click here to see answer by Theo(547)

Question 234463: log x^9=1/2
Click here to see answer by solver91311(4818)

Question 234382: My problem is log3x=5, im not sure what this is called but the "3" is the opposite of an exponent it is on the bottom and small. I do not understand how to solve this.
Thanks for your help
Click here to see answer by user_dude2008(690)

Question 234094: solve for x:
59.2=42.5(1.64)^x
Click here to see answer by eggsarecool(26)

Question 234094: solve for x:
59.2=42.5(1.64)^x
Click here to see answer by Alan3354(5863)

Question 234019: please help.... evaluate the expression log3 100-log3 18-log3 50?
Click here to see answer by Alan3354(5863)

Question 233958: what are the steps to finding log8 of 4?
Click here to see answer by nyc_function(155)

Question 233600: A certain type of skin wound heals according to the function given by N(t)= N0e-0.125t , where N is the number of cm2 of unhealed skin t days after the injury, and N0 is the number of cm2 of the original wound. How long, to the nearest day, will it take for 75% of the wound to heal?

Please see below for further break downs
N0= The 0 is slightly lower than the N
-0.125t= It is squared to the N0e
cm2= the 2 is squared here
Click here to see answer by Theo(547)

Question 233595: I am really struggling to find the answer to this logarithmic equation that we have been set:
6*(3^x)+4*(3^-x)-14=0
Any help would be appreciated,
Many thanks, Trevor
Click here to see answer by Edwin McCravy(2877)

Question 233589: I am really struggling to find the answer to this logarithmic equation that we have been set:
6*(3^x)+4*(3^-x)-14=0
Any help would be appreciated,
Many thanks, Trevor
Click here to see answer by Theo(547)

Question 233400: 6logx45 multiply by 10
Click here to see answer by Alan3354(5863)

Question 233487: How much louder is a mp3 player (100dB) to a crying baby (80dB)?
Click here to see answer by stanbon(25959)

Question 232939: logx(49)=2
Click here to see answer by josmiceli(2979)

Question 232925: Write as single logarithm loga 12 + loga 5
Click here to see answer by dpaulin(4)

Question 232440: Express as a product.
Problem: log b t^8, the letter b is smaller than the word log
A) 8log b t, the b is smaller than the word log
B)blog8t, the number is smaller than the word log
C)blog80t^8, the number 80 is smaller than the word log
D)8logbt^8, the letter b is smaller than the word log
Click here to see answer by solver91311(4818)

Question 232429: 3log(x,3)+1/3log(x,27)=4
find the value of x
Click here to see answer by Alan3354(5863)

Question 231980: How do I solve for x in these two problems:
logx1/64=-3 and logx5^3=3?
Click here to see answer by jsmallt9(511)

Question 231996: evaluate the following with the help of logarithms
1. 2391 / 3072

Click here to see answer by stanbon(25959)

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