Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 189525: I need help writing an exponential function whose graph passes through the points (0,-5) and (-2,-20).
Click here to see answer by scott8148(6628)

Question 189535: Please help me write an exponential function whose graph passes through the points (0,-5) and (-2,-20). Then determine whether the function represents exponential growth or decay.
Click here to see answer by scott8148(6628)

Question 189524: I really need your help in writing an exponential function whose graph passes through the points (0,-5) and (-2,-20). Then determining whether the function represents exponential growth or decay. I would really appreciate any help!
Click here to see answer by Edwin McCravy(20059)

Question 189805: what will be the value of log 0.3 to the base 9?
the correct answer is -1/2.
However i am not able to figure out the method
Click here to see answer by jim_thompson5910(35256)

Question 189805: what will be the value of log 0.3 to the base 9?
the correct answer is -1/2.
However i am not able to figure out the method
Click here to see answer by josmiceli(19441)

Question 189963: Help I am really stuck on this problem. Need help Please!!!
A twenty year old student has won one million dollars in the lottery. Is it possible for him to have ten million dollars when he is forty years old if he invests in a CD that earns 4% compounded continuously?
If the money is invested into a CD that earns 4% compounded daily, how long will it take the student to have ten million dollars?
Click here to see answer by stanbon(75887)

Question 189857: Alpha Centauri, which lies 4.4 light years away, is the closest star system. It would be good candidate for discovering an Earth-like world. The distance to Alpha Centauri is 3,000 times farther than any space probe has ever traveled.
In miles, how far is the journey to Alpha Centauri?
In miles, approximately how far has the furthest space probe traveled?
Click here to see answer by ankor@dixie-net.com(22740)

Question 190197: Trying to figure out the Discovery Project on Exponential Explosion.
It doesn't really give any formula other than f(x)=2^x.
So I used this formula for the answers.
But when I read back into the section it shows another formula for the growth of viruses. So I am not sure which to use.
Thanks!
Click here to see answer by solver91311(24713)

Question 190411: Can you please help me with this problem:
simplify:
3(5x^2)^(1/3)
I tried to to distribute the (1/3) first and got 3(5^(1/3)*x^(2/3)) then I tried to distribute in the 3 and got 15^(1/3)*x^(2/3) but then I do not know what to do
Click here to see answer by stanbon(75887)

Question 190410: Can you please help me with this problem:

Click here to see answer by nerdybill(7384)

Question 190415: Ok I have this really complicated problem that i don't know howto Solve can you please help me:
Use composition of functions to prove that it does matter what order you use these discounts at the store to get the greatest toal discount. The coupons are for $25 and 40% discount on your total purchase price.
Click here to see answer by stanbon(75887)

Question 190413: Please hep me with this problem:

Click here to see answer by dukesmart(20)

Question 190414: Can you please help me out with this problem:
{{3(5x^2)^(1/3)}}}
Click here to see answer by checkley75(3666)

Question 190788: 4 logx - 6 log (x+2)
Click here to see answer by stanbon(75887)

Question 191085: Please help me solve this equation
5-5 Completing the Square
Solving a quadratic equation if the coefficient of x^2 is NOT 1

3x^2+12x-9=0
Click here to see answer by jim_thompson5910(35256)

Question 191078: Please help me solve this equation
5-5 Completing the Square
Solving a quadratic equation if the coefficient of x^2 is NOT 1

4x^2+24x-8=0
Click here to see answer by jim_thompson5910(35256)

Question 191083: Please help me solve this equation
5-5 Completing the Square
Solving a quadratic equation if the coefficient of x^2 is NOT 1

3x^2+12x-9=0
Click here to see answer by ankor@dixie-net.com(22740)

Question 191107: COMPLETING THE SQUARE 5-5
Solving a quadratic equation if the coefficient of x^2 is 1
x^2=4x-13
Click here to see answer by solver91311(24713)

Question 191135: 5-5 COMPLETING THE SQUARE
Solving a quadratic equation if the coefficient of x^2 is 1

X^2+6X+5=0
Click here to see answer by nerdybill(7384)

Question 191134: 5-5 COMPLETING THE SQUARE
Solving a quadratic equation if the coefficient of x^2 is 1

X^2+6X+5=0
Click here to see answer by edjones(8007)

Question 191227: 2.5^x=75
That arrow up sign and then the x is representing that the x is and exponent
Click here to see answer by nerdybill(7384)

Question 191278: how do you solve this type of problemss
Click here to see answer by Mathtut(3670)

Question 191417: lnx - ln(x + 2) = 3
This is what I tried:
lnx - ln(x+2) = 3
distributed
lnx - lnx - ln2 = 3
these cancel out leaving...
-LN2 = 3
DIVIDE BOTH SIDES BY -LN2
the answer seems wrong.
Click here to see answer by nerdybill(7384)

Question 191460: factor completely
x^4-16
Click here to see answer by Mathtut(3670)

Question 191645: pleasee help me solve :
a new truck that sells for $21,000 depreciates 20% each year. write a function that models the value of the truck. fine the value of the truck after 5 years.
Click here to see answer by RAY100(1637)

Question 192195: Please help me with this algebra 2 problem.
Directions: Using inverses simplify the expression.
#48:5^log x
5
I dont exactly know how to type that but its 5 raised to log is followed by a small 5 thats a little bit lower and next to that a little raised is an x.
I have no idea how to do that but i know that the answer is x could you please explain this to me?

Click here to see answer by solver91311(24713)

Question 192240: I need help with this logarithm problem please:
2^(3x)=4^(x-1)
Click here to see answer by solver91311(24713)

Question 192248: I need help with this problem:
1/2log(base 6)16x=3
Click here to see answer by solver91311(24713)

Question 192264: e^(-x)=6
Click here to see answer by Alan3354(69443)

Question 192266: log(base5)(2x+15)=log(base5)3x
Click here to see answer by stanbon(75887)

Question 192265: 2/3e^(4x)+1/3=4
Click here to see answer by stanbon(75887)

Question 192246: I need help with this problem:
e^(-x)=6
Click here to see answer by chowmeineep(4)

Question 192263: 36^(x-9)=6^(2x)
Click here to see answer by stanbon(75887)

Question 192261: log3x+log(x+2)=1
Click here to see answer by nerdybill(7384)

Question 192260: log(base3)(2x-1)=3
Click here to see answer by nerdybill(7384)

Question 192247: I need help with this problem:
2/3e^(4x)+1/3=4
Click here to see answer by RAY100(1637)

Question 192445: simplify: sq rt (-49) +2i^2-10i^7
Click here to see answer by edjones(8007)

Question 192471: Here is the problem. (t-4)to the 2/5 power =4. The book said the answer was 36, and it works out, but how did they arrive at this answer? I squared t-4 and took the square root of the answer, then my answer to the 5th power, but I didn't get 36.

Click here to see answer by Earlsdon(6294)

Question 192244: I need help with this problem:
log3x+log(x+2)=1
Click here to see answer by nerdybill(7384)

Question 192676: I am having so much trouble with solving logarithmic equations. I dont understand what happens. I know to cancel out but i just really need some help.
Click here to see answer by stanbon(75887)

Question 192643: log2 16
Click here to see answer by nerdybill(7384)

Question 192752: i can not seem to generate a graph for the expression F(x)=(1/2)^x i have set up a table such as the domain's i used are {-2,-1,0,1,2,} can you help??
Click here to see answer by Earlsdon(6294)

Question 192778: Solve for x e^-2+e^2+x=2
Click here to see answer by RAY100(1637)

Question 192861: Can you solve this?

5^(1-2x)=1/5 and 3x^3=9^x?
Thanks
Click here to see answer by stanbon(75887)

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