Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 197449: find x:
log4(x+1)-log4(x-2)=1
Click here to see answer by edjones(7569)

Question 197610: solve for x.
log(subscript 3)(x^2+5x)-log(subscript 3)14=0
Click here to see answer by edjones(7569)

Question 197635: CHallenge: Under Certain conditions, the wind speed s (in knots) at an altitude of h meters above a grassy plain can be modeled by this function:
s(h)=2 ln (100h)
a. By what amount does the wind speed increase when the altitude doubles
b. Show that the given function can be written in terms of common logarithms as s(h)=2/loge (log h+2)
umm on a , so far I got change in altitude=s(2h)-s(h)
then 2ln(100(2h))-2ln(100h) then idk
on b, i'm not quite sure what to do,
Click here to see answer by jim_thompson5910(28598)

Question 197682: how do you write 4log3^x + log3^7 as a single log?
Click here to see answer by stanbon(57424)

Question 197682: how do you write 4log3^x + log3^7 as a single log?
Click here to see answer by jim_thompson5910(28598)

Question 197852: Please solve log8x = 0 show steps
Click here to see answer by stanbon(57424)

Question 197861: I need to use the change of base formula to solve 3^2x=15
Click here to see answer by Alan3354(30993)

Question 197876: 10^3(y) =5

Click here to see answer by Alan3354(30993)

Question 198151: How do you solve log(2x+3)-logx=1
Click here to see answer by stanbon(57424)

Question 198153: How long, to the nearest tenth of a year, will it take $3500 to grow to $8000 at 6.5% annual interest compounded semiannually? How long, compounded continuously?
Click here to see answer by stanbon(57424)

Question 198180: A=A 2^-t/5760
A= amount of carbon 14 that a specimen contains
A= original amount of carbon 14
t=time in years
5760= half life of carbon-14
A specimen that originally contained 120 milligrams of carbon-1 now contains 100 milligrams of this substance, what is the age of the specimen, to the nearest hundred years?
Click here to see answer by stanbon(57424)

Question 198256: what is the value of log 1.8 ??? tell the method

Click here to see answer by anantha(86)

Question 198508: Describe the transformations on the following graph of . State the placement of the vertical asymptote and x-intercept after the transformation
Click here to see answer by stanbon(57424)

Question 198513: Describe the transformations on the following graph of f(x)=log(x). State the placement of the vertical asymptote and x-intercept after the transformation: a) g(x) = log (x -3) b) g(x) = log(-x)
Click here to see answer by stanbon(57424)

Question 197691: Greg bought a gold coin for $9,000. If the value of the ring increases at a constant rate of 1.79% per year, how many years will it be for the ring to be worth $17,978.02?
Click here to see answer by jojo14344(1512)

Question 198679: Express as a sum, difference, or multiple of logarithms.
log(subscript 2)(square root of x / a^2)
Click here to see answer by jim_thompson5910(28598)

Question 198679: Express as a sum, difference, or multiple of logarithms.
log(subscript 2)(square root of x / a^2)
Click here to see answer by josmiceli(9698)

Question 198808: Hello!
A function f(x) is given.
f(x) = log5(log10(x))
(a) Find the domain of the function f
(b) Find the inverse function of f.
f -1(x) =
thanks for your help!

Click here to see answer by jim_thompson5910(28598)

Question 198851: Express as a single logarithm
1/2 Log a X + 3 Log a Y - 2 Log a X

Click here to see answer by jim_thompson5910(28598)

Question 198525: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , where p is the number of new homes built in the first year recorded. If you were a homebuilder looking for work, would you prefer that the value of a to be between 0 and 1 or larger than 1? Explain your reasoning. Be sure to reference your sources using APA style.
Click here to see answer by solver91311(16897)

Question 198814: 5x.x.(8x-1)1/2=500

Click here to see answer by pannalal(9)

Question 198953: Give an example of these
General form of the function: exponential and logarithmic
One example each of exponential and logarithmic function
Characteristics of the graphical representation of each function (Minimum four characteristics)
I can not think of nothing someone please help me.
Click here to see answer by solver91311(16897)

Question 198954: Hello!
Use the Laws of Logarithms to combine the expression.

2ln(9)-5ln(x)+5ln(x^2+9)
thanks for your help!
Click here to see answer by jim_thompson5910(28598)

Question 198949: Hello!
Use the Laws of Logarithms to expand the expression.
Use the Laws of Logarithms to expand the expression.
log(10^x/x(x^2+5)(x^7+6))
thanks for your help!
Click here to see answer by jim_thompson5910(28598)

Question 198957: Hello!
Use the Laws of Logarithms to combine the expression
-4log(4)(A)+3log(4)(B)+3log(4)(C)
(4) is the base.
thanks for your help!
Click here to see answer by jim_thompson5910(28598)

Question 198964: 2^x^2-14X+41=1/128
Click here to see answer by stanbon(57424)

Question 198965: 5^2x+1+5^2x-3+5^2x-4=155/625
Click here to see answer by stanbon(57424)

Question 198963: 3^x*3^x+1*3^x-2=243
Click here to see answer by jim_thompson5910(28598)

Question 198961: Hi
Use the Laws of Logarithms to expand the expression
ln((sqrt(x^2(sqrt(7^3(sqrt(z^3))
thanks for your help!
Click here to see answer by jim_thompson5910(28598)

Question 198916: 3. Simplify the following expressions:
a. X4 * X5
b. Z9/Z10
c. log3Y + log3Z
d. log5Y - log5Z

Click here to see answer by stanbon(57424)

Question 199059: Hello!
Solve the logarithmic equation for x.
log5 (x - 1) + log5 (x + 1) = 2
thanks for your help!
Click here to see answer by nerdybill(6963)

Question 199060: Hi!!
Solve the logarithmic equation for x.
ln(x - 4) + ln(x + 5) = 1
thanks for your help!
Click here to see answer by jim_thompson5910(28598)

Question 199151: please help me solve this equation:
Click here to see answer by Alan3354(30993)

Question 199146: Hello!
The intensity of the sound of traffic at a busy intersection was measured at 8.00 10^-2 W/m^2. Find the intensity level in decibels.
thanks for your help!
Click here to see answer by RAY100(1637)

Question 199147: Hello!
The number of a certain species of fish is modeled by the function below where t is measured in years and n(t) is measured in millions.
n(t) = 11e^0.014t
After how many years will the number of fish reach 30 million? (Give your answer correct to one decimal place.?
thanks for your help!
Click here to see answer by RAY100(1637)

Question 199294: Prove that 7^(n+2)-35(7^n-1)/44(7^n+2) is equal to 1/49
Click here to see answer by RAY100(1637)

Question 199620: Solve 3^x-1= 9^2x
Click here to see answer by jim_thompson5910(28598)

Question 199628: what values of x cannot possibly be solutions of the following equation?
LOGa(3x+1)=2
Click here to see answer by jim_thompson5910(28598)

Question 199629: use properties of logarithms to solve each equation. express answers to three decimal places.
LOG5 (m-9)=3
Click here to see answer by nerdybill(6963)

Question 199634: use properties of logarithms to solve each equation. express answers to three decimal places.
5^2x+1 = 125^x
Click here to see answer by vleith(2825)

Question 199648: Please help me (!)

Solve for x: ((log b, 36)) - ((log b, 2)) = ((log b, x))
"b" is the base...thanks!!!
Click here to see answer by nerdybill(6963)

Question 199693: 3. What are the asymptotes of the functions "f(x) = 4x" and "g(x) = log5x"?
I just dont get this
Click here to see answer by MathLover1(6649)

Question 199692: 2. True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x". Explain
I am having alot of trouble with these problems
Click here to see answer by Alan3354(30993)

Question 199694: 4. A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
I can find the answer to this but not algebraically could you please help me do this right?
Click here to see answer by ankor@dixie-net.com(15667)

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