Questions on Algebra: Logarithm answered by real tutors!

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Question 418178: Please help me solve this....
In September 1998 the population of the country of West Goma in millions was modeled by f(x)=16.7e^0.0015x. At the same time the population of East Goma in millions was modeled by g(x)=14.6e^0.0135x. In both formulas x is the year, where x=0 corresponds to September 1998. Assuming these trends continue, estimate the year when the population of West Goma will equal the population of East Goma.
Possible answer is 2009 but not sure
Click here to see answer by ewatrrr(10682)

Question 418142: Express the function
f(x)=log_(3)(9^(6 x+4) 81^(6 x+ 8))
without logarithms.
Click here to see answer by lwsshak3(6491)

Question 418413: evaluate the expression.

log(5)200 + log(5)(1/8)
Click here to see answer by robertb(4012)

Question 418452: What is the derivative of f(x)=ln1/x?

Click here to see answer by robertb(4012)

Question 418452: What is the derivative of f(x)=ln1/x?

Click here to see answer by Edwin McCravy(8908)

Question 418414: solve for x.

4 to the power of x = 10
Click here to see answer by jsmallt9(3296)

Question 418414: solve for x.

4 to the power of x = 10
Click here to see answer by richard1234(5390)

Question 418369: Simplify the expression. (Do not expand the expression in the denominator.)
((e**(3 x) - e**(-3 x))**2 - (e**(3 x) + e**(- 3 x))**2)/(e**(3 x) + e**(- 3 x))**2
Click here to see answer by jsmallt9(3296)

Question 418585: How do you solve the following?
ln(5x-3)^1/3=2
Click here to see answer by nerdybill(6958)

Question 418584: How do you solve the following?
ln(5x-3)^1/3=2
Click here to see answer by nerdybill(6958)

Question 418620: What is the derivative of the function
f(x) = (x^2-1)/sin x

Click here to see answer by Gogonati(809)

Question 418876: how do i solve for x, log(base 2) x^2 + log(base 2)x^0.5 = 5
Click here to see answer by josmiceli(9669)

Question 419035: log(base 7)3^(x-1)=2
Click here to see answer by jsmallt9(3296)

Question 419013: f(x)=log(sub5)(4-x)-2
Find the domain, asymptote, and x & y intercepts
Click here to see answer by jsmallt9(3296)

Question 418872: Tell whether the x-value is a solution of the equation.
ln x=9, x=e^9
Click here to see answer by jsmallt9(3296)

Question 419387: A college loan of $30,000 is made at 8% interest compounded annually. After t years,the amount due,A,is given by the function A (t)=30,000 (1.08)^t
a)After what amount of time will the amount due reach $45,000?
t= years
Thank you ,
Debbie
Click here to see answer by josmiceli(9669)

Question 419494: use a calculator to find the answer
e^3.4201
I have no idea on how to use my TI-83 Plus at all. I went to a tutorial session online and i still got the problem wrong.Can some one instruct me from beginning to end on how to get this answer into the calculator so that i can learn to work them myself?
Click here to see answer by richard1234(5390)

Question 419560: I have no idea of the planet i am on when i look at this equation:

log b (b/ sqrt x)-logb(sqrt bx)
What am i supposed to do when I get problems such as these?
Click here to see answer by richard1234(5390)

Question 419359: Logarithms using change of base formula;
log2(19)
The 2 is very small and on the bottom and the 19 is large.
Can you help me to understand how to do this problem? Thanks
Debbie
Click here to see answer by jsmallt9(3296)

Question 419692: ln(x-7) - ln (2)= 3
Click here to see answer by jsmallt9(3296)

Question 419691: Solve equations for x. Check for extraneous solution. Round to three decimal places if needed.
5 plus 3e raised to the 3x power equals 12
Click here to see answer by jsmallt9(3296)

Question 419837: what is the solution of :.
Click here to see answer by scott8148(6628)

Question 419881: How do you write this as a single logarithm: 1/3(log x + log z) - 2 log y
Click here to see answer by dnanos(83)

Question 419881: How do you write this as a single logarithm: 1/3(log x + log z) - 2 log y
Click here to see answer by Edwin McCravy(8908)

Question 420082: solver the equation in terms of x
x=82y

Click here to see answer by stanbon(57307)

Question 419982: Use the given information and the properties of logarithms to find a requested value. If log base b 2 = 3 and log base b 16 = 4 find log base b 32
Click here to see answer by jsmallt9(3296)

Question 420188: write as a single logarithm 3log x+2log y
Click here to see answer by dnanos(83)

Question 420188: write as a single logarithm 3log x+2log y
Click here to see answer by josmiceli(9669)

Question 420210: The value of a country's exports for some product(in billions of dollars) is approximated by the function f(x)=1.3e to the power of .2385x, where x=0 corresponds to the year 1995. What was the value of this country's exports in the year 2000?
Using the information from that problem, in what year did the level of exports reach 15 billions?
Click here to see answer by jsmallt9(3296)

Question 420445: log2 (x-3)+log2 x-log2 (x+2)=2
Click here to see answer by nerdybill(6958)

Question 420777: How do you solve the equation 3 to the power of (x + 3) - 3 to the power of (x) = 78 using the log function
Click here to see answer by scott8148(6628)

Question 420934: solve each equation or inequality.
3^2x-1=3^x+2
Click here to see answer by Gogonati(809)

Question 420977: Simplify log(7)x^3 - log(7)x
Click here to see answer by nerdybill(6958)

Question 421024: Please help me out!
Write in logarithmic form.
5 to the second power=25
What is the equivalent logarithmic form?
log 5_______=_______
Click here to see answer by stanbon(57307)

Question 421030: Please help me!
Solve for x.
log 10x-log (2x-3)= log 6
(Simplify your answer. Type an integer or a fraction.)
Click here to see answer by stanbon(57307)

Question 421050: This exercise deals with logarithmic scales.
If one earthquake is 100 times as intense as another, how much larger is its magnitude on the Richter scale? (Round your answer to one decimal place.)
Click here to see answer by Alan3354(30993)

Question 421019: log5 4 to base 10 and evaluate
convert log9 37 to base 10 and evaluate

Click here to see answer by dnanos(83)

Question 421053: Use the Laws of Logarithms to expand the expression.
log(subscript)9(x(x2 + 2))/(sqrt(x2 − 2)

Click here to see answer by dnanos(83)

Question 420975: Help express this as a single logarithm and simplify if possible.
log(2)64 - log(4)4
Click here to see answer by jsmallt9(3296)

Question 420784: use log 3 = 0.477 and log 5= 0.699 to evaluate log 5/3
Click here to see answer by jsmallt9(3296)

Question 420824: Use natural logarithms to solve the equation.
e -^0^.^ 4^1^3^t^=5
The solution set is
(Simplify your answer. Type an integeror a decimal rounded to the nearest thousandth.)
Click here to see answer by jsmallt9(3296)

Question 421261: Please help me!
Ok, I don't know how to do this using mathematical notation, so I'm going to try to describe my problem in English.
Use natural logarithms to solve the equation.
e -0.413t=5 (The -0.413t is up higher than e)
The solution set is
(Simplify your answer. Type an integer or a decimal rounded to the nearest thousandth.)
Click here to see answer by josmiceli(9669)

Question 421190: Solve : (9)^y + 5 [(3)^y - 10] = 0
*Please answer as soon as possible. :) =)
Click here to see answer by jsmallt9(3296)

Question 421189: Solve the equation : 2(x)^1/2 = 9 + 5 (x)^-1/2
*Please answer as soon as possible. :) =)
Click here to see answer by jsmallt9(3296)

Question 421232: If the graph of the logarithmic function f(x) = log base 2 (5x+b) passes through the point (2,3), what is b?
Click here to see answer by jsmallt9(3296)

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